IP Library Granted Patent US 12,686,173
Granted Patent B2
US 12,686,173 · App. 16/206,163 · Granted Jul 21, 2026

Fabrication and design of composites with architected layers

Inventors: Carlos M. Portela (Pasadena, CA); Andrey Vyatskikh (Irvine, CA); Julia R. Greer (San Marino, CA)
Assignee: California Institute of Technology
B29C64/30B29C64/10B33Y10/00B33Y40/20B33Y80/00F16F7/121
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Quick Facts
Patent No.
US 12,686,173
App. No.
16/206,163
Granted
Jul 21, 2026
Kind
B2
Abstract

In an aspect, a composite material system comprises: a structure having an architected three-dimensional geometry; wherein said three-dimensional geometry is monolithic and deterministic; and a matrix phase; wherein said matrix phase at least partially infiltrates said structure. In some embodiments, the three-dimensional geometry is a nano- or micro-architected three-dimensional geometry.

Claims (60)

1 . A composite material system comprising:

a porous structure having an architected three-dimensional geometry;

wherein said three-dimensional geometry is monolithic and deterministic; and wherein the three-dimensional geometry is a non-stochastic geometry;

wherein said structure comprises glassy carbon, graphitic carbon, amorphous carbon, pyrolytic carbon, graphite, carbon black, or any combination thereof; and

a matrix phase comprising a polymer, an epoxy, a carbon allotrope, a ceramic, a metal, a viscous fluid, or any combination thereof;

wherein said matrix phase infiltrates said structure by at least 20% by volume.

2 . The composite material system of claim 1 , wherein the three-dimensional geometry is a nano- or micro-architected three-dimensional geometry.

3 . The composite material system of claim 1 , wherein the structure is characterized by an area-normalized impact energy mitigation metric (ψ) selected from the range of 2×10 4 J/m 2 to 4×10 5 J/m 2 ; or wherein the structure is characterized by a density-normalized impact energy mitigation metric (ψ) selected from the range of 1.9×10 6 J/kg to 4×10 6 J/kg.

4 . The composite material system of claim 1 , wherein said structure is characterized by a restitution coefficient that is selected from the range of 0.8 to 0.3.

5 . The composite material system of claim 1 , wherein said structure is characterized by at least one vibrational frequency band gap.

6 . The composite material system of claim 5 , wherein said at least one vibrational frequency band gap is deterministic.

7 . The composite material system of claim 5 , wherein said at least one vibrational frequency band gap is within the range of 0.1 MHz to 200 MHz.

8 . The composite material system of claim 1 being characterized by a damping ratio of at least 1.2.

9 . The composite material system of claim 1 , wherein said three-dimensional geometry comprises at least one surface feature.

10 . The composite material system of claim 9 , wherein: at least a portion of said at least one surface feature is characterized by a non-zero Gaussian curvature, at least a portion of said at least one surface feature is characterized by a non-zero mean curvature, at least a portion of said at least one surface feature is characterized by a zero mean curvature, said at least one surface feature is characterized by a non-uniform Gaussian curvature or a non-uniform mean curvature, said at least one surface feature is characterized by a uniform Gaussian curvature or a uniform mean curvature, a thickness dimension of said at least one surface feature is non-uniform throughout said at least one surface feature, or a thickness dimension of said at least one surface feature is uniform throughout said at least one surface feature.

11 . The composite material system of claim 1 , wherein the three-dimensional geometry is characterized as a spinodal geometry.

12 . The composite material system of claim 1 , wherein the structure is characterized by a slope of normalized effective elastic modulus versus relative density that is selected from the range of 1 to 1.3.

13 . The composite material system of claim 1 , wherein the three-dimensional geometry comprises a resonator.

14 . The composite material system of claim 13 , wherein the resonator comprises a micro-inertia feature.

15 . The composite material system of claim 13 , wherein the resonator comprises a cantilever beam feature and a micro-inertia feature connected to an end of said cantilever beam feature.

16 . The composite material system of claim 1 , wherein the three-dimensional geometry is characterized by a unit cell geometry, said unit cell geometry comprising a resonator.

17 . The composite material system of claim 1 , wherein said structure is characterized by deterministic anisotropic damping characterized by damping at least 1% greater along a first direction than along a second direction.

18 . The composite material system of claim 1 , wherein said structure exhibits vibrational Bragg scattering and wherein said structure does not exhibit vibrational local resonance.

19 . The composite material system of claim 1 , wherein said structure comprises a carbon allotrope material, a polymer, a ceramic material, a metal material, or any combination thereof.

20 . The composite material system of claim 1 , wherein said three-dimensional geometry is a node-free geometry.

21 . The composite material system of claim 1 , wherein the structure comprises at least one hollow feature.

22 . The composite material system of claim 1 , wherein said three-dimensional geometry comprises at least one longitudinal feature, and wherein: at least a portion of said at least one longitudinal feature is characterized by a non-zero curvature along a longitudinal direction of said feature, said at least one longitudinal feature is characterized by a non-uniform curvature along a longitudinal direction of said feature, or said at least one longitudinal feature has at least one cross-sectional dimension that is non-uniform along a longitudinal direction of said feature.

23 . The composite material system of claim 1 , wherein said three-dimensional geometry comprises at least one feature having a cross-sectional shape that is non-uniform.

24 . The composite material system of claim 1 , wherein said structure defines a three-dimensional external boundary shape; and wherein said three-dimensional geometry comprises at least one feature that intersects said boundary shape at only one or zero points of intersection.

25 . The composite material system of claim 1 , wherein a three-dimensional external boundary shape defined by said structure corresponds to a shape of the composite material system.

26 . The composite material system of claim 1 , wherein a three-dimensional external boundary shape defined by said structure is hollow.

27 . The composite material system of claim 1 , wherein said three-dimensional geometry is an overall three-dimensional geometry comprising at least a primary three-dimensional geometry and a secondary three-dimensional geometry, wherein said primary and said secondary three-dimensional geometries are different.

28 . The composite material system of claim 1 , wherein said structure comprises a closed region that is free of said matrix phase.

29 . The composite material system of claim 1 , wherein said structure is enclosed within said matrix phase such that no portion of said structure exists beyond external boundaries of said matrix phase.

30 . The composite material system of claim 1 , wherein at least a portion of said three-dimensional geometry is characterized as a tetrakaidecahedron, Weaire-Phelan geometry, honeycomb geometry, auxetic geometry, an octet-truss geometry, an octahedron, a diamond lattice, a 3D kagome geometry, a tetragonal geometry, a cubic geometry, a tetrahedron, a space-filling polyhedron, a periodic minimal surface, a triply periodic minimal surface geometry, a spinodal geometry, a chiral geometry, or a combination of these.

31 . The composite material system of claim 1 , wherein the structure is characterized by one or more features having at least one physical size dimension, wherein said features comprise one or more of struts, beams, ties, trusses, sheets, surfaces, spheres, ellipses, and shells.

32 . The composite material system of claim 1 , wherein said structure is characterized by a relative density selected from the range of 5% to 99.9%.

33 . The composite material system of claim 1 , wherein said structure is characterized by an elasticity, said elasticity of said structure being deterministic.

34 . The composite material system of claim 1 , wherein said structure is characterized as having a bending-dominated mode or a stretching-dominated mode.

35 . The composite material system of claim 1 , wherein said structure comprises a coating.

36 . The composite material system of claim 1 , wherein the three-dimensional geometry comprises a unit cell geometry.

37 . The composite material system of claim 1 , wherein the three-dimensional geometry is characterized by at least one unit cell geometry, the unit cell having at least one overall physical dimension selected from the range of 10 nm to 20 μm.

38 . The composite material system of claim 1 , wherein the three-dimensional geometry is characterized by at least one unit cell geometry, the unit cell having at least one overall physical dimension selected from the range of 1 μm to 200 μm.

39 . The composite material system of claim 1 , wherein the structure is at least 1% by-mass infiltrated by the matrix phase.

40 . The composite material system of claim 1 , wherein said structure is not a foam.

41 . The composite material system of claim 1 , wherein said three-dimensional geometry is both unitary interconnected and continuous.

42 . The composite material system of claim 1 , wherein every portion or feature of the three-dimensional geometry is directly or indirectly bonded to, fused with, or otherwise belongs to the same uninterrupted phase with respect to another portion or another feature, respectively, of the three-dimensional geometry.

43 . The composite material system of claim 1 , wherein the structure comprises a pyrolytic carbon.

44 . The composite material system of claim 1 , wherein at least a portion of said three-dimensional geometry is characterized by a beam- or shell-based geometry; wherein said beam- or shell-based geometry is not symmetric, is not periodic, or is not regularly tessellated.

45 . The composite material system of claim 1 , wherein said three-dimensional geometry is not symmetric.

46 . The composite material system of claim 1 , wherein said three-dimensional geometry is a spinodal geometry and is not symmetric.

47 . The composite material system of claim 1 , wherein said three-dimensional geometry is not periodic.

48 . The composite material of claim 1 , wherein the structure comprises at least 50% by volume of the glassy carbon, graphitic carbon, amorphous carbon, pyrolytic carbon, graphite, carbon black, or any combination thereof.

49 . A method of making a composite material system, said method comprising steps of:

preparing a structure via an additive manufacturing process; wherein:

said structure has an architected three-dimensional geometry; and

said three-dimensional geometry is monolithic and deterministic; and wherein the three-dimensional geometry is a non-stochastic geometry;

wherein said structure comprises glassy carbon, graphitic carbon, amorphous carbon, pyrolytic carbon, graphite, carbon black, or any combination thereof;

infiltrating said structure with a matrix phase such that said structure is infiltrated by said matrix phase by at least 20% by volume; wherein the matrix phase comprises a polymer, an epoxy, a carbon allotrope, a ceramic, a metal, a viscous fluid, or any combination thereof;

thereby making said composite material system.

Assignments (1)
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Mar 29, 2019
From: PORTELA, CARLOS M.; VYATSKIKH, ANDREY; GREER, JULIA R.
To: CALIFORNIA INSTITUTE OF TECHNOLOGY
Reel/Frame 048736/0876 →
Continuity (4)
Continuation In Part 16151186 · Oct 3, 2018
Provisional Application 62593768 · Dec 1, 2017
Provisional Application 62567352 · Oct 3, 2017
Related Publication 20200023584A1 · Jan 23, 2020
References Cited (226)
US 4966757A · Lewis et al. · 1990 [cited by applicant]
US 5384171A · Prucher · 1995 [cited by applicant]
US 5507477A · Manning et al. · 1996 [cited by applicant]
US 5965249A · Sutton et al. · 1999 [cited by applicant]
US 6582812B1 · Grylls et al. · 2003 [cited by applicant]
US 6929866B1 · Williams et al. · 2005 [cited by applicant]
US 7026045B2 · Rettenbacher et al. · 2006 [cited by applicant]
US 7070755B2 · Klett et al. · 2006 [cited by applicant]
US 7382959B1 · Jacobsen · 2008 [cited by applicant]
US 7653279B1 · Jacobsen · 2010 [cited by applicant]
US 7687132B1 · Gross et al. · 2010 [cited by applicant]
US 7955504B1 · Jovanovic · 2011 [cited by examiner]
US 8320727B1 · Jacobsen et al. · 2012 [cited by applicant]
US 9217084B2 · Schaedler et al. · 2015 [cited by applicant]
US 9278318B2 · Anderson · 2016 [cited by examiner]
US 9362553B2 · Lahiri et al. · 2016 [cited by applicant]
US 9375864B2 · Hundley et al. · 2016 [cited by applicant]
US 9379418B2 · Wang et al. · 2016 [cited by applicant]
US 9405067B2 · Yang et al. · 2016 [cited by applicant]
US 9533887B1 · Polsky · 2017 [cited by examiner]
US 9590228B1 · Wang et al. · 2017 [cited by applicant]
US 9660292B2 · Rust, III et al. · 2017 [cited by applicant]
US 9758382B1 · Roper et al. · 2017 [cited by applicant]
US 9823143B2 · Twelves et al. · 2017 [cited by applicant]
US 9938623B1 · Schaedler et al. · 2018 [cited by applicant]
US 10115844B2 · Noyes · 2018 [cited by examiner]
US 10661513B2 · Stephenson et al. · 2020 [cited by applicant]
US 20070095012A1 · Kang et al. · 2007 [cited by applicant]
US 20090320398A1 · Gouvea · 2009 [cited by applicant]
US 20100047434A1 · Kumar · 2010 [cited by examiner]
US 20100068623A1 · Braun et al. · 2010 [cited by applicant]
US 20100291401A1 · Medina · 2010 [cited by examiner]
US 20100323207A1 · Pinault · 2010 [cited by examiner]
US 20110045346A1 · Chiang et al. · 2011 [cited by applicant]
US 20110111283A1 · Rust, III et al. · 2011 [cited by applicant]
US 20110171518A1 · Dunn et al. · 2011 [cited by applicant]
US 20120077095A1 · Roumi et al. · 2012 [cited by applicant]
US 20130330611A1 · Chen et al. · 2013 [cited by applicant]
US 20140141224A1 · Pasquali et al. · 2014 [cited by applicant]
US 20140315093A1 · Greer et al. · 2014 [cited by applicant]
US 20140336680A1 · Medina et al. · 2014 [cited by applicant]
US 20150205903A1 · Or-Bach et al. · 2015 [cited by applicant]
US 20150207138A1 · Barker et al. · 2015 [cited by applicant]
US 20160126558A1 · Lewis et al. · 2016 [cited by applicant]
US 20170023084A1 · Guest et al. · 2017 [cited by applicant]
US 20170072638A1 · Hayes et al. · 2017 [cited by applicant]
US 20180088462A1 · Vyatskikh et al. · 2018 [cited by applicant]
US 20180117872A1 · Abu Al-Rub et al. · 2018 [cited by applicant]
JP 2017140824 · 2017 [cited by applicant]
WO WO2016066843 · 2016 [cited by applicant]
Abueidda, D. et al. (Apr. 2016) “Effective conductivities and elastic moduli of novel foams with triply periodic minimal surfaces,” [cited by applicant]
Amato, L. et al. (2015) “Dense high-aspect ratio 3D carbon pillars on interdigitated microelectrode arrays,” [cited by applicant]
An, S.J. et al. (Aug. 2016) “The state of understanding of the lithium-ion-battery graphite solid electrolyte interphase (SEI) and its relationship to formation cycling,” [cited by applicant]
Arthur, T.S. et al. (2011) “Three-dimensional electrodes and battery architectures,” [cited by applicant]
Bae, C.J. et al. (publicly available 2012) “Design of Battery Electrodes with Dual-Scale Porosity to Minimize Tortuosity and Maximize Performance,” [cited by applicant]
Barg, S. et al. (2014) “Mesoscale assembly of chemically modified graphene into complex cellular networks,” [cited by applicant]
Bates, J.B. et al. (2000) “Thin-film lithium and lithium-ion batteries,” [cited by applicant]
Bauer, J. et al. (publicly available Feb. 2016) “Approaching theoretical strength in glassy carbon nanolattices,” [cited by applicant]
Bauer, J. et al. (2014) “High-strength cellular ceramic composites with 3D microarchitecture,” [cited by applicant]
Bazant, Z.P. & Xiang, Y. (1997) “Size effect in compression fracture: Splitting crack band propagation,” [cited by applicant]
Billaud, J. et al. (Jul. 2016) “Magnetically aligned graphite electrodes for high-rate performance Li-ion batteries,” [cited by applicant]
Bruley, J. et al. (1995) “Quantitative near-edge structure analysis of diamond-like carbon in the electron microscope using a two-window method,” [cited by applicant]
Buiel, E. & Dahn, J.R. (1999) “Li-insertion in hard carbon anode materials for Li-ion batteries,” [cited by applicant]
Buqa, H. et al. (2005) “High Rate Capability of Graphite Negative Electrodes for Lithium-Ion Batteries,” [cited by applicant]
Burckel, D.B. et al. (2009) “Lithographically Defined Porous Carbon Electrodes,” [cited by applicant]
Burckel, D.B. et al. (2010) “Pyrolysis of two-dimensional and three- dimensional interferometrically patterned resist structures,” [cited by applicant]
Cancado, G.L. et al. (2006) “General equation for the determination of the crystallite size of nanographite by Raman spectroscopy,” [cited by applicant]
Cannarella, J. et al. (2014) “Stress evolution and capacity fade in constrained lithium-ion pouch cells,” [cited by applicant]
Cao, A. et al. (2005) “Super-compressible foam-like carbon nanotube films,” [cited by applicant]
Challis, V.J. (2014) “High specific strength and stiffness structures produced using selective laser melting,” [cited by applicant]
Chen, X. et al. (Oct. 2017) “Cellular carbon microstructures developed by using stereolithography,” [cited by applicant]
Chen, Z. et al. (2011) “Three-dimensional flexible and conductive interconnected graphene networks grown by chemical vapour deposition,” [cited by applicant]
Chung, D.W. et al. (2013) “Validity of the Bruggeman relation for porous electrodes,” [cited by applicant]
Cirigliano, N. et al. (2014) “3D Architectured Anodes for Lithium-Ion Microbatteries with Large Areal Capacity,” [cited by applicant]
Cowlard F.C. & Lewis, J.C. (1967) “Vitreous carbon-a new form of carbon,” [cited by applicant]
Dahbi, M. et al. (Apr. 2017) “Synthesis of hard carbon from argan shells for Na-ion batteries,” [cited by applicant]
Dahn, J.R. et al. (1995) “Mechanisms for Lithium Insertion in Carbonaceous Materials,” [cited by applicant]
Daniel, I.M. et al. (2009) “Interfiber/interlaminar filuare of composites under multi-axial states of stress,” [cited by applicant]
Danner, T. et al. (Dec. 2016) “Thick electrodes for Li-ion batteries: A model based analysis,” [cited by applicant]
Deshpande, V.S. et al. (2001) “Effective properties of the octet-truss lattice material,” [cited by applicant]
Deubel, M. et al. (publicly released 2005) “3D-2D-3D photonic crystal heterostructures fabricated by direct laser writing.” [cited by applicant]
Dikin, D. et al. (2007) “Preparation and characterization of graphene oxide paper,” [cited by applicant]
Dunlay, W.A. et al. (1989) “A proposed uniaxial compression test for high strength ceramics,” [cited by applicant]
Dusoe, K.J. et al. (Oct. 2017) “Ultrahigh elastic strain energy storage in metal-oxide-infiltrated patterned hybrid polymer nanocomposites,” [cited by applicant]
Du, Z. et al. (publicly available Feb. 2017) “Understanding limiting factors in thick electrode performance as applied to high energy density Li-ion batteries,” [cited by applicant]
Ebner, M. et al. (2014) “Tortuosity Anisotropy in Lithium-Ion Battery Electrodes,” [cited by applicant]
Eckel, Z.C. et al. (Jan. 2016) “Additive manufacturing of polymer-derived ceramics,” [cited by applicant]
Etiemble, A. et al. (2014) “3D morphological analysis of copper foams as current collectors for Li-Ion batteries by means of X-ray tomography,” [cited by applicant]
Fairen-Jimenez, D. et al. (2007) “Adsorption of benzene, toluene, and xylenes on monolithic carbon aerogels from dry air flows,” [cited by applicant]
Ferrari, A.C. et al. (2000) “Interpretation of Raman spectra of disordered and amorphous carbon,” [cited by applicant]
Freymann, G. et al. (2010) “Three-Dimensional Nanostructures for Photonics,” [cited by applicant]
Fu, K. et al. (publicly available Feb. 2016) “Graphene Oxide-Based Electrode Inks for 3D-Printed Lithium-Ion Batteries,” [cited by applicant]
Fu, S.Y. et al. (2000) “Tensile properties of short-glass-fiber-and short-carbon-fiber-reinforced polypropylene composites,” Composites Part A 31(10): 1117-1125. [cited by applicant]
Gallagher, K. et al. (publicly available Nov. 2015) “Optimizing Areal Capacities through Understanding the Limitations of Lithium-Ion Electrodes,” [cited by applicant]
Gao, H. et al. (2003) “Materials become insensitive to flaws at nanoscale: lessons from nature,” [cited by applicant]
Gogotsi, Y. (2015) “Not just graphene: The wonderful world of carbon and related nanomaterials,” [cited by applicant]
Goriparti, S. et al. (2014) “Review on recent progress of nanostructured anode materials for Li-ion batteries,” [cited by applicant]
Greer, J.R. et al. (2005) “Size dependence of mechanical properties of gold at the micron scale in the absence of strain gradients,” [cited by applicant]
Greer, J.R.& Hosson, J.T. (2011) “Plasticity in small-sized metallic systems: Intrinsic versus extrinsic size effect,” [cited by applicant]
Griffith, K.J. et al. (Jul. 2018) “Niobium tungsten oxides for high-rate lithium-ion energy storage,” [cited by applicant]
Gu, X.W. & Greer J.R. (2015) “Ultra-strong architected Cu meso-lattices,” [cited by applicant]
Hamm, C.E. et al. (2003) “Architecture and material properties of diatom shells provide effective mechanical protection,” [cited by applicant]
Harris, P.J. (2005) “New perspectives on the structure of graphitic carbons,” [cited by applicant]
Hashin, Z. (1983) “Analysis of Composite Materials—A Survey,” [cited by applicant]
Heinl, P. et al. (2008) “Cellular Ti—6Al—4V structures with interconnected macro porosity for bone implants fabricated by selective electron beam melting,” [cited by applicant]
Hofmann, G. et al. (2000) “An investigation of the relationship between position within coater and pyrolytic carbon characteristics using nanoindentation,” [cited by applicant]
Hou, H. et al. (publicly available Mar. 2017) “Carbon Anode Materials for Advanced Sodium-Ion Batteries,” [cited by applicant]
Hu, M. et al. (Jun. 2017) “Compressed glassy carbon: An ultrastrong and elastic interpenetrating graphene network,” [cited by applicant]
Hur, J.I. et al. (2018) “High Areal Energy Density 3D Lithium-Ion Microbatteries,” [cited by applicant]
Irisarri, E. et al. (2015) “Review-Hard carbon Negative Electrode Materials for Sodium-Ion Batteries,” [cited by applicant]
Ishikawa, T. et al. (1982) “Elastic Behavior of Woven Hybrid Composites,” [cited by applicant]
Iwashita, N. et al. (2001) “Elasto-plastic deformation of glass-like carbons heat-treated at different temperatures,” [cited by applicant]
Jacobsen, A.J. et al. (2011) “Vitreous carbon micro-lattice structures,” [cited by applicant]
Jang, D. et al. (2012) “Deformation mechanisms in nanotwinned metal nanopillars,” [cited by applicant]
Jang, D. et al. (2013) “Fabrication and deformation of three-dimensional hollow ceramic nanostructures,” [cited by applicant]
Jang, D. & Greer, J.R. (2010) “Transition from a strong-yet-brittle to a stronger-and-ductile state by size reduction of metallic glasses,” [cited by applicant]
Jennings, A.T. & Greer J.R. (2011) “Tensile deformation of electroplated copper nanopillars,” [cited by applicant]
Ji, H. et al. (2012) “Ultrathin Graphite Foam: A Three-Dimensional Conductive Network for Battery Electrodes,” [cited by applicant]
Jordan, J. et al. (2005) “Experimental trends in polymer nanocomposites—a review,” [cited by applicant]
Kaae, J.L. (1971) “Structure and mechanical properties of isotropic pyrolytic carbons deposited below 1600° C.,” [cited by applicant]
Kaae, J.L. (1972) “The mechanical properties of glassy and isotropic pyrolytic carbons,” [cited by applicant]
Kang, B. & Ceder, G. (2009) “Battery materials for ultrafast charging and discharging,” [cited by applicant]
Kawamura, K. & Jenkins, G.M. (1972) “Mechanical properties of glassy carbon fibres derived from phenolic resin,” [cited by applicant]
Kim, C.S. & Ahn, S.H. (2014) “Mechanical behavior of microscale carbon pillar fabricated by focused ion beam induced deposition,” [cited by applicant]
Kotlensky, W.V. & Martens, H.E. (1965) “Tensile Properties of Glassy Carbon to 2,900° C.,” [cited by applicant]
Lacey, S.D. et al. (publicly available Jan. 2018) “Extrusion-Based 3D Printing of Hierarchically Porous Advanced Battery Electrodes,” [cited by applicant]
Lai, A. et al. (2013) “Shape memory and superelastic ceramics at small scales,” [cited by applicant]
Lai, J. et al. (Jan. 2018) “3D Porous Carbonaceous Electrodes for Electrocatalytics Applications,” [cited by applicant]
Lai, W. et al. (2010) “Ultrahigh-Energy-Density Microbatteries Enabled by New Electrode Architecture and Micropackaging Design,” [cited by applicant]
Lee, C. et al. (2008) “Measurement of the elastic properties and intrinsic strength of monolayer graphene,” [cited by applicant]
Lee, J.A. et al. (2008) “Fabrication and characterization of freestanding 3D carbon microstructures using multi-exposures and resist pyrolysis,” [cited by applicant]
Lee, J.S. et al. (2012) “Three-dimensional nano-foam of few-layer graphene grown by CVD for DSSC,” [cited by applicant]
Lee, K.T. et al. (2005) “Synthesis and Rate Performance of Monolithic Macroporous Carbon Electrodes for Lithium-Ion Secondary Batteries,” [cited by applicant]
Li, J. et al. (Apr. 2017) “A hybrid three-dimensionally structured electrode for lithium-ion batteries via 3D printing,” [cited by applicant]
Li, J. et al. (2017; month unknown) “3D Printed Hybrid Electrodes for Lithium-Ion Batteries,” [cited by applicant]
Li, X. & Gao, H. (Mar. 2016) “Smaller and stronger,” [cited by applicant]
Libonati, F. et al. (publicly available May 2016) “Bone-inspired materials by design: Toughness amplification observed using 3D printing and testing,” [cited by applicant]
Lim, C. et al. (Oct. 2016) “Analysis of geometric and electrochemical characteristics of lithium cobalt oxide electrode with different packing densities,” [cited by applicant]
Liontas, R. & Greer J.R. (Jul. 2017) “3D nano-architected metallic glass: Size effect suppresses catastrophic failure,” [cited by applicant]
Liu, C. et al. (Aug. 2017) “Fabrication and Characterization of 3D-Printed Highly- Porous 3D LiFePO [cited by applicant]
Liu, C. et al. (2014) “An all-in-one nanopore battery array,” [cited by applicant]
Lopez-Honorato, E. et al. (2008) “Structure and mechanical properties of pyrolytic carbon produced by fluidized bed chemical vapor deposition,” [cited by applicant]
Lowry, M.B. et al. (2010) “Achieving the ideal strength in annealed molybdenum nanopillars,” [cited by applicant]
Lu, L. et al. (2004) “Ultrahigh strength and high electrical conductivity in copper,” [cited by applicant]
Lucas, R. et al. (2014) “Strong, lightweight, and recoverable three-dimensional ceramic nanolattices,” [cited by applicant]
Maggi A. et al. (Nov. 2017) “Three-dimensional nano-architected scaffolds with tunable stiffness for efficient bone tissue growth,” [cited by applicant]
Manoharan, M.P. et al. (2010) “Elastic properties of 4-6 nm-thick glassy carbon thin films,” [cited by applicant]
Marks, T. et al. (2011) “A Guide to Li-Ion Coin-Cell Electrode Making for Academic Researchers,” [cited by applicant]
Messner, M.C. (Nov. 2016) “Optimal lattice-structured materials,” [cited by applicant]
Meza, L.R. et al. (Nov. 2017) “Reexamining the mechanical property space of three-dimensional lattice architectures,” [cited by applicant]
Meza, L.R. et al. (2015) “Resilient 3D hierarchical architected metamaterials,” [cited by applicant]
Meza, L.R. et al. (2014) “Strong, lightweight, and recoverable three-dimensional ceramic nanolattices,” [cited by applicant]
Miranda, D. et al. (Mar. 2016) “Computer simulations of the influence of geometry in the performance of conventional and unconventional lithium-ion batteries,” [cited by applicant]
Moshtev, R. & Johnson, B. (2000) “State of the art of commercial Li ion batteries,” [cited by applicant]
Muth, J.T. et al. (Feb. 2017) “Architected cellular ceramics with tailored stiffness via direct foam writing,” [cited by applicant]
Nitta, N. et al. (2015) “Li-ion battery materials: present and future,” [cited by applicant]
Ogihara, N. et al. (2006) “Disordered carbon negative electrode for electrochemical capacitors and high-rate batteries,” [cited by applicant]
Oku, T. et al. (2008) “Effects of ion irradiation on the hardness properties of graphites and C/C composites by indentation tests,” [cited by applicant]
Panasonic (Dec. 2009) “Headquarter News: Panasonic Develops High-Capacity Lithium-Ion Battery Cells That Can Power Laptops and Electric Vehicles,” http://news.panasonic.com/global/press/data/en091225-3/en091225-3.html. … [cited by applicant]
Pawlyta, M. et al. (2015) “Raman microspectroscopy characterization of carbon blacks: Spectral analysis and structural information,” [cited by applicant]
Plimpton, S. (1995) “Fast parallel algorithms for short-range molecular dynamics,” [cited by applicant]
Portela, C.M. et al. (Jul. 2018) “Impact of node geometry on the effective stiffness of non-slender three-dimensional truss lattice architectures,” [cited by applicant]
Qin, X. et al. (2011) “Hierarchically porous and conductive LiFePO [cited by applicant]
Qin, Z. et al. (Jan. 2017) “The mechanics and design of a lightweight three-dimensional graphene assembly,” [cited by applicant]
Qu, L. et al. (2008) “Carbon nanotube arrays with strong shear binding-on and easy normal lifting-off,” [cited by applicant]
Qu, R. & Zhang, Z. (2013) “A universal fracture criterion for high-strength materials,” [cited by applicant]
Rasool, H.I. et al. (2013) “Measurement of the intrinsic strength of crystalline and polycrystalline graphene,” [cited by applicant]
Robertson, J. (1986) “Amorphous carbon,” [cited by applicant]
Roylance, D. (2001) “Stress-Strain Curves,” MIT Course, http:/web.mit.edu/course/3/3.11/www/modules/ss.pdf. Accessed Oct. 2018. [cited by applicant]
Sadezky, A. et al. (2005) “Raman microspectroscopy of soot and related carbonaceous materials: Spectral analysis and structural information,” [cited by applicant]
Saleh, M.S. et al. (Oct. 2018) “3D printed hierarchically-porous microlattice electrode materials for exceptionally high specific capacity and areal capacity lithium ion batteries,” [cited by applicant]
Sander, J.S. et al. (Jul. 2016) “High-performance battery electrodes via magnetic templating,” [cited by applicant]
Sanders, P.G. et al. (1997) “Elastic and tensile behavior of nanocrystalline copper and palladium,” [cited by applicant]
Schaedler, T.A. et al. (2011) “Ultralight metallic microlattices,” [cited by applicant]
Singh, M. et al. (2015) “Thick Electrodes for High Energy Lithium Ion Batteries,” [cited by applicant]
Smekens, J. et al. (Feb. 2016) “Influence of Electrode Density on the Performance of Li-Ion Batteries: Experimental and Simulation Results,” [cited by applicant]
Song, Z. et al. (publicly available Dec. 2014) “Defect-detriment to graphene strength is concealed by local probe: the topological and geometrical effects,” [cited by applicant]
Stein, I.Y. et al. (Jun. 2017) “Structure-mechanical property relations of non- graphitizing pyrolytic carbon synthesized at low temperatures,” [cited by applicant]
Stevens, D.A. & Dahn, J.R. (2000) “High Capacity Anode Materials for Rechargeable Sodium-Ion Batteries,” [cited by applicant]
Stuart, S.J. et al. (2000) “A reactive potential for hydrocarbons with intermolecular interactions,” [cited by applicant]
Sun, K. et al. (2013) “3D Printing of Interdigitated Li-Ion Microbattery Architectures,” [cited by applicant]
Swain, M.V. & Field, J.S. (1996) “Investigation of the mechanical properties of two glassy carbon materials using pointed indenters,” [cited by applicant]
Tehrani, M. et al. (2013) “Mechanical characterization and impact damage assessment of a woven carbon fiber reinforced carbon nanotube-epoxy composite,” [cited by applicant]
Thakur, M. et al. (2012) “Freestanding Macroporous Silicon and Pyrolyzed Polyacrylonitrile As a Composite Anode for Lithium Ion Batteries,” [cited by applicant]
Thiel, M. et al. (2009) “Three-Dimensional Bi-chiral Photonic Crystals,” [cited by applicant]
Torrents, A. et al. (2012) “Characterization of nickel-based microlattice materials with structural hierarchy from the nanometer to the millimeter scale,” [cited by applicant]
Valdevit, L. et al. (2013) “Compressive strength of hollow microlattices: Experimental characterization, modeling, and optimal design,” [cited by applicant]
Vetter, J. et al. (2005) “Ageing mechanisms in lithium-ion batteries,” [cited by applicant]
Vyatskikh, A. et al. (Feb. 2018) “Additive manufacturing of 3D nano-architected metals,” [cited by applicant]
Vyatskikh, A. et al. (Jun. 2018) “Additive manufacturing of polymer-derived titania for one-step solar water purification,” [cited by applicant]
Wang, C. et al. (2004) “C-MEMS for the Manufacture of 3D Microbatteries,” [cited by applicant]
Wang, H. et al. (Jan. 2017) “Synthesis of single-crystal-like nanoporous carbon membranes and their application in overall water splitting,” [cited by applicant]
Wang, H. et al. (Jun. 2017) “Ultralight, scalable, and high-temperature-resilient ceramic nanofiber sponges,” [cited by applicant]
Wang, J. et al. (2012) “Pitch modified hard carbons as negative materials for lithium-ion batteries,” [cited by applicant]
Wang, J.S. et al. (2011) “Formulation and characterization of ultra-thick electrodes for high energy lithium-ion batteries employing tailored metal foams,” [cited by applicant]
Wegst, U.G.K. et al. (publicly available Oct. 2014) “Bioinspired structural materials,” [cited by applicant]
Wei, T.S. et al. (publicly available Mar. 2018) “3D Printing of Customized Li-Ion Batteries with Thick Electrodes,” [cited by applicant]
Wei, Y. et al. (2012) “The nature of strength enhancement and weakening by pentagon-heptagon defects in graphene,” [cited by applicant]
Weiner, S. & Wagner, H.D. (1998) “The material bone: structure-mechanical function relations,” [cited by applicant]
Wenzel, S. et al. (2011) “Room-temperature sodium-ion batteries: Improving the rate capability of carbon anode materials by templating strategies,” [cited by applicant]
Whittingham, M.S. (2012) “History, Evolution, and Future Status of Energy Storage,” [cited by applicant]
Wicks, S.S. et al. (2010) “Interlaminar and intralaminar reinforcement of composite laminates with aligned carbon nanotubes,” [cited by applicant]
Wood, V. (2018) “X-ray tomography for battery research and development,” [cited by applicant]
Wu, B. et al. (2005) “Mechanical properties of ultrahigh-strength gold nanowires,” [cited by applicant]
Xiao, X. et al. (2012) “Lithographically Defined Three-Dimensional Graphene Structures,” [cited by applicant]
Xing, W. et al. (1996) “Optimizing Pyrolysis of Sugar Carbons for Use as Anode Materials in Lithium-Ion Batteries,” [cited by applicant]
Yajima, S. et al. (1972) “Micro-hardness of pyrolytic graphite and siliconated pyrolytic graphite,” [cited by applicant]
Yang, G.F. et al. (2015) “Ultra-thick Li-ion battery electrodes using different cell size of metal foam current collectors,” [cited by applicant]
Yang, J. et al. (2012) “Study of nano-porous hard carbons as anode materials for lithium ion batteries,” [cited by applicant]
Zeschky, J. et al. (2003) “Preceramic polymer derived cellular ceramics,” [cited by applicant]
Zhang, H. et al. (2015) “Fluidized bed chemical vapor deposition of pyrolytic carbon-III. Relationship between microstructure and mechanical properties,” [cited by applicant]
Zhang, P. et al. (2014) “Fracture toughness of graphene,” [cited by applicant]
Zhang, Q. et al. (Jan. 2016) “Three-Dimensional Printing of Graphene Aerogels,” [cited by applicant]
Zhang, X. et al. (Jun. 2018) “Three-dimensional high-entropy alloy-polymer composite nanolattices that overcome the strength-recoverability trade-off,” [cited by applicant]
Zhang, Y. et al. (2014) “Microstructures and properties of high-entropy alloys,” [cited by applicant]
Zhao, J.X. et al. (1985) “The fracture toughness of glassy carbons at elevated temperatures,” [cited by applicant]
Zheng, T. et al. (1995) “High-Capacity Carbons Prepared from Phenolic Resin for Anodes of Lithium-Ion Batteries,” [cited by applicant]
Zheng, X. et al. (Jul. 2016) “Multiscale metallic metamaterials,” [cited by applicant]
Zheng, X. et al. (2014) “Ultralight, ultrastiff mechanical metamaterials,” [cited by applicant]
Zhou, Y.N. et al. (2013) “Nanostructured thin film electrodes for lithium storage and all-solid-state thin-film lithium batteries,” [cited by applicant]
Zhu, C. et al. (2015) “Highly compressible 3D periodic graphene aerogel microlattices,” [cited by applicant]
Search Report and Written Opinion, dated Dec. 18, 2019, corresponding to International Application No. PCT/US2018/063306 (filed Nov. 30, 2018), 13 pp. [cited by applicant]
Extended European Search Report and Search Opinion, dated Nov. 18, 2021, corresponding to European Application No. 18920051.2, 16 pp. [cited by applicant]
Notification of Reasons for Refusal, dated Nov. 8, 2022, corresponding to Japanese Application No. 529,530/2020, 6 pp. [cited by applicant]
Supplementary Partial European Search Report and Provisional Opinion, dated Jul. 15, 2021, corresponding to European Application No. 18920051.2, 14 pp. [cited by applicant]
Al Nasiri, N. et al. (2015), “Effect of microstructure and slow crack growth on lifetime prediction of monolithic silicon carbide,” [cited by applicant]