Methods of designing three-dimensional lattice structures for implants
The methods disclosed herein of generating three-dimensional lattice structures and reducing stress shielding have applications including use in medical implants. One method of generating a three-dimensional lattice structure can be used to generate a structure lattice and/or a lattice scaffold to support bone or tissue growth. One method of reducing stress shielding includes generating a structural lattice to provide sole mechanical spacing across an area for desired bone or tissue growth. Some examples can use a repeating modified rhombic dodecahedron or radial dodeca-rhombus unit cell. Some methods are also capable of providing a lattice structure with anisotropic properties to better suit the lattice for its intended purpose.
1 . A method for manufacturing an implant having reduced stress shielding, the method comprising:
fabricating a three-dimensional lattice structure comprising a plurality of repeating unit cells, each unit cell comprising:
a plurality of sub-unit cells, each sub-unit cell comprising:
a plurality of connected faces configured to define a volume of the sub-unit cell;
a node located within the volume of the sub-unit cell; and
a plurality of struts extending from the node within the volume of the sub-unit cell and defining a plurality of rhombic openings therebetween, wherein at least one rhombic opening comprises two internal angles that equal a lateral separation angle ranging between 109.5 degrees and 180 degrees;
identifying a first loading direction for the three-dimensional lattice structure;
defining a second loading direction oriented at an angle offset from the first loading direction;
fabricating the implant such that the implant comprises an implant body configured such that at least a portion of the implant body includes the three-dimensional lattice structure, and the three-dimensional lattice structure comprises a first elastic modulus in the first loading direction and a second elastic modulus in the second loading direction, wherein the first elastic modulus is less than the second elastic modulus.
2 . The method of claim 1 , further comprising fabricating the three-dimensional lattice structure such that it comprises a rhombic dodecahedron shaped unit cell.
3 . The method of claim 1 , further comprising fabricating the three-dimensional lattice structure such that it comprises a radial dodeca-rhombus shaped unit cell.
4 . The method of claim 1 , further comprising fabricating the three-dimensional lattice structure such that the node is centrally located within the volume of the sub-unit cell.
5 . The method of claim 4 , further comprising fabricating the three-dimensional lattice structure such that the node comprises a plurality of connected node faces.
6 . The method of claim 5 , further comprising fabricating the three-dimensional lattice structure such that at least one strut from the plurality of struts is connected to one of the plurality of connected node faces.
7 . The method of claim 1 , further comprising fabricating the three-dimensional lattice structure such that the plurality of struts are configured to extend along a corresponding plurality of strut directions, intersect at a plurality of vertices, and define the plurality of rhombic openings therebetween.
8 . The method of claim 7 , further comprising fabricating the three-dimensional lattice structure such that the plurality of vertices are configured to define one or more corners of the plurality of rhombic openings.
9 . The method of claim 7 , further comprising fabricating the three-dimensional lattice structure such that each vertex from the plurality of vertices comprises an internal angle defined by strut directions of at least two struts from the plurality of struts that intersect at that vertex.
10 . The method of claim 9 , further comprising fabricating the three-dimensional lattice structure such that a line bisecting the internal angle of the vertex is configured to be perpendicular to the first loading direction of the porous lattice structure.
11 . The method of claim 10 , wherein the first elastic modulus comprises a range between and including 0.375 GPa to 4 GPa.
12 . The method of claim 11 , wherein the first elastic modulus comprises one of a design elastic modulus and an actual elastic modulus.
13 . The method of claim 10 , further comprising fabricating the three-dimensional lattice structure such that the second loading direction is configured to be oriented at an angle offset from the first loading direction.
14 . The method of claim 1 , wherein the first elastic modulus comprises a range varying between and including 0.3 GPa to 12 GPa and the second elastic modulus comprises a range varying between and including 2 GPa to 25 GPa.
15 . The method of claim 1 , wherein the lateral separation angle comprises a range varying between and including 111 degrees and 120 degrees.
16 . The method of claim 1 , further comprising fabricating the three-dimensional lattice structure such that a volumetric density of the three-dimensional lattice structure is between and including 5 percent to 40 percent.
17 . The method of claim 1 , wherein a volumetric density of the three-dimensional lattice structure is between and including 30 percent to 38 percent.