Bone replacement implants with mechanically biocompatible cellular material
A methodology integrating muitiscale analysis and design optimization to design a novel bone replacement implant made of a functionally graded cellular material that meets fatigue requirements imposed by cyclic loadings. The pore microarchitecture, described by interconnectivity, porosity, pore size as well as pore topology, is optimally designed for tissue regeneration and mechanical strength. The method can contribute to the development of a new generation of bone replacement implants with a graded cellular microstructure.
1. A method for producing a prosthetic graded cellular bone implant having non-homogeneous distribution of material properties comprising the steps of:
generating a finite element model of the implant comprising a plurality of unit cells defining a lattice microstructure;
calculating a homogenized stiffness tensor for each unit cell;
determining a homogenous medium for each unit cell having an equivalent homogenized stiffness tensor;
determining strains and stresses on the implant using either the homogenized stiffness tensors or a finite element analysis;
generating a stress field for each unit cell using a stress recovery procedure conducted on the determined strains and stresses;
determining if the stress field of each unit cell is below a predefined failure criterion, and if so, performing a multiobjective optimization to minimize bone loss and interface failure by optimizing at least one constraint including average porosity, mean pore size and cell wall thickness for each unit cell;
generating a model of the graded cellular implant combining the optimized stress field of each unit cell; and
producing the prosthetic graded cellular bone implant from the model of the graded cellular implant.
2. The method of claim 1 , wherein the bone implant is a hip implant, a knee implant, an elbow implant, a shoulder implant, a wrist implant, an ankle implant, or a dental implant.
3. The method of claim 1 , wherein the porosity of the implant is greater than or equal to 40%.
4. The method of claim 1 , wherein the mean pore size of the implant is between 50 μm and 800 μm.
5. The method of claim 1 , wherein the cell wall thickness of each unit cell is between 70 μm and 100 μm.
6. The method of claim 1 , further comprising forming the cell wall thickness of each unit cell to be between 70 μm and a size where the cell wall completely fills a pore of the unit cell.
7. The method of claim 3 , further comprising forming the porosity of the implant to be between 60% and 95%.
8. The method of claim 1 , comprising conducting an analysis of the lattice microstructure to individually model each strut of each unit cell.
9. The method of claim 8 , wherein conducting the analysis of the lattice microstructure to individually model each strut of each unit cell is performed as an alternative to calculating the homogenized stiffness tensor for each unit cell.
10. The method of claim 8 , comprising using stiffness properties for each unit cell obtained from the analysis of the lattice microstructure.
11. The method of claim 10 , wherein using the stiffness properties is performed as an alternative to determining a homogenous medium for each unit cell having the equivalent homogenized stiffness tensor.
12. The method of claim 1 , wherein performing the multiobjective optimization includes performing the multiobjective optimization with either a gradient-based or a gradient-free optimization algorithm.
13. The method of claim 1 , wherein the non-homogenous material properties include at least one of: strength, osteoconductivity, pore geometry, porosity, and surface roughness.
14. The method of claim 13 , wherein:
the properties includes the strength of the lattice microstructure; and
the cell topology of unit cells of the plurality of unit cells comprised by a portion of the lattice microstructure being selected to be open or closed to grade the strength of the portion of the lattice microstructure.
15. The method of claim 13 , wherein:
the properties includes the osteoconductivity of the lattice microstructure; and
the cell topology of unit cells of the plurality of unit cells comprised by a portion of the lattice microstructure being selected to be open or closed to grade the osteoconductivity of the portion of the lattice microstructure.
16. The method of claim 13 , wherein the properties include the surface roughness;
the surface roughness being graded between surface roughness values of between 0.5 micron and 8.5 micron.
17. The method of claim 4 , further comprising forming the mean pore size range to be between 200 micron and 400 micron.
18. The method of claim 7 , wherein the porosity of the implant is between 70% and 90%.
19. The method of claim 1 , wherein the implant is one of a hip implant, a knee implant, an elbow implant, a wrist implant, a shoulder implant, an ankle implant or a dental implant.