Anisotropic biocompatible lattice structure
The three-dimensional lattice structures disclosed herein have applications including use in medical implants. Some examples of the lattice structure are structural in that they can be used to provide structural support or mechanical spacing. In some examples, the lattice can be configured as a scaffold to support bone or tissue growth. Some examples can use a repeating modified rhombic dodecahedron or radial dodeca-rhombus unit cell. The lattice structures are also capable of providing a lattice structure with anisotropic properties to better suit the lattice for its intended purpose.
1. A porous structure for medical implants configured for implanting between two adjacent bony structures, the porous structure comprising:
a three-dimensional lattice configured to extend between the two adjacent bony structures and provide sole mechanical spacing between the two adjacent bony structures;
a principal axis configured to intersect the two adjacent bony structures; and
a loading direction disposed within 90 degrees of the principal axis;
wherein the three-dimensional lattice comprises a plurality of unit cells, each unit cell comprising:
a node;
a plurality of struts extending radially from the node; and
one or more fluidly interconnected openings disposed within a volume of the three-dimensional lattice;
wherein the unit cell is elongated in a direction orthogonal to the loading direction within the one or more fluidly interconnected openings to provide increased shear strength of the porous structure in direction of elongation.
2. The porous structure of claim 1 , wherein the unit cell comprises an increased elastic modulus along direction of elongation of the unit cell, the elastic modulus being a function of thickness of the plurality of struts included in the unit cell.
3. The porous structure of claim 2 , wherein the unit cell comprises a reduced elastic modulus along a direction orthogonal to the direction of elongation.
4. The porous structure of claim 3 , wherein the porous structure is configured such that the principal axis follows a lordosis of spine of a subject upon implantation in subject's body.
5. The porous structure of claim 1 , wherein the unit cell comprises a rhombic dodecahedron structure.
6. The porous structure of claim 1 , wherein the unit cell comprises a radial dodeca-rhombus structure.
7. The porous structure of claim 1 , wherein the porous structure further comprises an x-axis disposed orthogonal to the principal axis and an elastic modulus that ranges between and including 0.3 GPa to 12 GPa along the loading direction, between and including 2 GPa to 25 GPa along the x-axis, the elastic modulus being less along the loading direction than along the x-axis.
8. The porous structure of claim 1 , wherein the porous structure further comprises an x-axis disposed orthogonal to the principal axis and a y-axis disposed orthogonal to the x-axis;
wherein the unit cell is elongated along the x-axis and the y-axis such that length of the porous structure along the principal axis is less than its length along the x-axis.
9. The porous structure of claim 8 , wherein the length of the porous structure along the principal axis is less than its length along the x-axis.
10. The porous structure of claim 9 , wherein the length of the porous structure along the x-axis is about same as its length along the y-axis.
11. The porous structure of claim 1 , wherein the porous structure comprises a volumetric density ranging between and including at least one of: 5 percent to 40 percent and 30 percent to 38 percent.
12. The porous structure of claim 1 , wherein the porous structure comprises an elastic modulus between and including 0.375 GPa to 4 GPa in at least one direction.
13. The porous structure of claim 1 , wherein the porous structure comprises a compressive shear strength and an axial load between and including 300 to 15000N in static and dynamic loading up to 5,000,000 cycles at 5 Hz.
14. The porous structure of claim 1 , wherein the porous structure comprises a torsional yield load up to 15 Nm.
15. The porous structure of claim 1 , wherein the porous structure comprises a volumetric density of 5 percent to 40 percent, an elastic modulus between and including 0.375 MPa to 4 GPa, a compressive shear strength and an axial load between and including 300 to 15000N in static, and dynamic loading up to 5,000,000 cycles at 5 Hz.
16. The porous structure of claim 1 , wherein the porous structure comprises a volumetric density ranging between 32 percent to 38 percent, an elastic modulus between and including 2.5 GPa to 4 GPa, a compressive shear strength and an axial load between and including 300 to 15000N in static and dynamic loading up to 5,000,000 cycles at 5 Hz.
17. A lattice structure for use in medical implants configured for implanting between two adjacent bony structures, comprising:
a three-dimensional lattice structure configured to provide sole mechanical spacing between the two adjacent bony structures;
a principal axis configured to intersect the two adjacent bony structures;
a first loading axis disposed within 90 degrees of the principal axis; and
a second loading axis configured to intersect the first loading axis;
wherein the lattice structure comprises a longer length along the first loading axis compared to its length along the second loading axis and provides increased shear strength of the structure in direction of elongation.
18. The lattice structure of claim 17 , wherein the three-dimensional lattice structure comprises a rhombic dodecahedron structure.
19. The lattice structure of claim 17 , wherein the three-dimensional lattice structure comprise a radial dodeca-rhombus structure.
20. The lattice structure of claim 17 , wherein the three-dimensional lattice structure comprises a modulus of elasticity along the first loading axis of between and including 0.3 GPa to 12 GPa, a modulus of elasticity along second loading axis of between and including 2 GPa to 25 GPa, and the modulus of elasticity along the first loading axis is less than the modulus of elasticity along the second loading axis.
21. The lattice structure of claim 17 , wherein said lattice structure further comprises a plurality of repeating unit cells having a first length along the first loading axis and a second length along the second loading axis, wherein the first length is less than the second length.
22. The lattice structure of claim 17 , wherein the lattice structure comprises a volumetric density between and including 5 percent to 40 percent.
23. The lattice structure of claim 17 , wherein the lattice structure comprises a volumetric density between and including 30 percent to 38 percent.
24. The lattice structure of claim 17 , wherein-the lattice structure comprises an elastic modulus along the loading axis of between and including 0.375 GPa to 4 GPa.
25. The lattice structure of claim 17 , wherein the lattice structure comprises a shear yield load and a compressive yield load between and including 300 to 15000N in static and dynamic loading up to 5,000,000 cycles at 5 Hz.
26. The lattice structure of claim 17 , wherein the lattice structure comprises a torsional yield load up to 15 Nm.
27. The lattice structure of claim 17 , wherein the lattice structure comprises a volumetric density of 5 percent to 40 percent, an elastic modulus between and including 0.375 MPa to 4 GPa, a compressive shear yield load between and including 300 to 660N, and a compressive yield load between and including 300 to 15000N.
28. The lattice structure of claim 17 , wherein the lattice structure comprises a volumetric density of 32 percent to 38 percent, an elastic modulus between and including 2.5 GPa to 4 GPa and a shear strength and an axial load between and including 300 to 15000N in static and dynamic loading up to 5,000,000 cycles at 5 Hz.
29. A porous structure for medical implants configured for implanting between two adjacent bony structures, the porous structure comprising:
a three-dimensional lattice structure comprising a plurality of repeating unit cells having a radial dodeca-rhombus structure, the plurality of unit cells being defined by a plurality of struts within a volume;
wherein the volume comprises:
a length along a principal axis;
a length along an X axis normal to the principal axis;
a length along a Y axis normal to the X axis; and
a loading direction within 90 degrees of the principal axis; and
wherein the porous structure comprises an elastic modulus that is lower along the loading direction than along the X axis.