Three-dimensional lattice structures for implants
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 lattice structure for medical implants, the porous lattice structure comprising:
a repeating unit cell, the repeating unit cell comprising a plurality of sub-unit cells;
wherein:
each of the plurality of sub-unit cells comprise six faces and is defined by a node centrally located within a cuboid volume;
the node comprises a square bipyramid with eight node faces and a square plane parallel to a face of the cuboid volume; and
each of the plurality of sub-unit cells comprises a first strut fixed to one of the eight node faces of the node defining that sub-unit cell.
2. The porous lattice structure of claim 1 , wherein the node further comprises six vertices and the node is oriented so that each of the six vertices is positioned at their closest possible location to each of the six faces of the cuboid volume.
3. The porous lattice structure of claim 1 , wherein:
the first strut is elongate;
the cuboid volume further comprises eight corners, each defined by an intersection of three cuboid volume faces; and
the first strut is fixed to a first node face on its proximate end and fixed to a corner of cuboid volume nearest to the first node face on its distal end.
4. The porous lattice structure of claim 3 , wherein a strut direction of the first strut intersects a center of the node and a corner of the cuboid volume.
5. The porous lattice structure of claim 3 , wherein the strut direction of the first strut intersects a corner of the cuboid volume.
6. The porous lattice structure of claim 3 , wherein at least one of cuboid volume faces defines a reference plane and the strut direction of the first strut is between 0 degrees to 90 degrees from the reference plane.
7. The porous lattice structure of claim 3 , wherein at least one of a cuboid volume face defines a reference plane and the strut direction of the first strut is between and including 8 degrees to 30 degrees from the reference plane.
8. The porous lattice structure of claim 1 , wherein the node comprises a volumetric density of 100 percent.
9. The porous lattice structure of claim 1 , wherein:
the first strut comprises an octahedron comprising an elongate portion of six substantially similar elongate faces and two end faces;
the elongate faces are isosceles triangles having a first internal angle, angle A, and a second internal angle, angle B, angle B being greater than angle A;
the two end faces are substantially similar isosceles triangles with a first internal angle, angle C, and a second internal angle, angle D, angle D being greater than angle C.
10. The porous lattice structure of claim 9 , wherein:
a first node face is located on a lower half of the node;
the sub-unit further comprise a second strut fixed on its proximate end to a second node face and fixed on its distal end to a corner of the cuboid volume nearest to the second node face and the second node face is located on the lower half of the node and opposite the first node face;
the sub-unit further comprise a third strut fixed on its proximate end to a third node face and fixed on its distal end to a corner of the cuboid volume nearest to the third node face, and the third node face is located on an upper half of the node and about 90 degrees laterally from the first node face; and
the sub-unit cells further comprise a fourth strut, fixed on its proximate end to a fourth node face and, fixed on its distal end to a corner of the cuboid volume nearest to the fourth node face, and the fourth node face is located on upper half of the octahedron volume and opposite the third node face.
11. The porous lattice structure of claim 10 , wherein the unit cells further comprise a first grouping of four sub-unit cells fixed to a second grouping of four sub-unit cells, the first grouping comprising four substantially similar sub-unit cells, arranged and fixed laterally in a rectangle when viewed from above, and the second grouping comprising four substantially similar sub-unit cells inverted relative to the first grouping and fixed laterally in a rectangle when viewed from above.
12. The porous lattice structure of claim 1 , wherein node has a volumetric density of less than 100 percent.
13. The porous lattice structure of claim 1 , wherein the cuboid volume comprises a plurality of struts having a plurality of strut directions and meeting at a plurality of vertices, the strut directions defining a plurality of rhombic openings and the plurality of vertices defining corners of the rhombic openings, wherein each vertex of the plurality of vertices comprises an internal angle defined by a strut direction of two struts that meet at that vertex and at least one rhombic opening comprises two internal angles that equal a lateral separation angle ranging between 109.5 degrees and 180 degrees.
14. The porous lattice structure of claim 13 , wherein lattice structure comprises a rhombic dodecahedron.
15. The porous lattice structure of claim 14 , wherein lattice structure further comprises a second plurality of struts extending radially from rhombic dodecahedron and contained within cuboid volume.
16. The porous lattice structure of claim 13 , wherein lattice structure comprises a radial dodeca-rhombus.
17. The porous lattice structure of claim 13 , wherein lateral separation angle ranges between and including 111 degrees and 120 degrees.
18. The porous structure of claim 13 , wherein a line bisecting an internal angle at one vertex of a rhombic opening is perpendicular to a first direction of loading; wherein the elastic modulus of porous structure in the first direction of loading is between and including 0.375 GPa to 4 GPa; and wherein the volumetric density of porous structure is between and including 5 percent to 40 percent.
19. The porous structure of claim 18 , wherein elastic modulus is a design elastic modulus.
20. The porous structure of claim 18 , wherein elastic modulus is an actual elastic modulus.
21. The porous structure of claim 20 , further comprising a volumetric density of between and including 30 percent to 38 percent.
22. The porous structure of claim 13 , wherein a line bisecting an internal angle at one vertex of a rhombic opening is perpendicular to a first direction of loading and further comprising:
a second direction of loading oriented at an angle offset from first direction of loading,
wherein the elastic modulus along the first direction of loading is between and including 0.3 GPa to 12 GPa;
wherein the elastic modulus along a second direction of loading is between and including 2 GPa to 25 GPa; and
wherein elastic modulus along the first direction of loading is less than elastic modulus along a second direction of loading.