A review of homogenization and topology opimization II—analytical and numerical solution of homogenization equations

B Hassani, E Hinton - Computers & structures, 1998 - Elsevier
This is the second part of a three-paper review of homogenization and topology
optimization. In the first paper, we focused on the theory and derivation of the …

Fully porous 3D printed titanium femoral stem to reduce stress‐shielding following total hip arthroplasty

S Arabnejad, B Johnston, M Tanzer… - Journal of Orthopaedic …, 2017 - Wiley Online Library
Current hip replacement femoral implants are made of fully solid materials which all have
stiffness considerably higher than that of bone. This mechanical mismatch can cause …

Topological design, permeability and mechanical behavior of additively manufactured functionally graded porous metallic biomaterials

XY Zhang, G Fang, S Leeflang, AA Zadpoor, J Zhou - Acta biomaterialia, 2019 - Elsevier
Recent advances in additive manufacturing (AM) have enabled the fabrication of functionally
graded porous biomaterials (FGPBs) for application as orthopedic implants and bone …

Mechanical characterization of structurally porous biomaterials built via additive manufacturing: experiments, predictive models, and design maps for load-bearing …

D Melancon, ZS Bagheri, RB Johnston, L Liu, M Tanzer… - Acta biomaterialia, 2017 - Elsevier
Porous biomaterials can be additively manufactured with micro-architecture tailored to
satisfy the stringent mechano-biological requirements imposed by bone replacement …

Mechanical properties of lattice materials via asymptotic homogenization and comparison with alternative homogenization methods

S Arabnejad, D Pasini - International Journal of Mechanical Sciences, 2013 - Elsevier
Several homogenization schemes exist in literature to characterize the mechanics of cellular
materials. Each one has its own assumptions, advantages, and limitations that control the …

The effective elastic properties of flexible hexagonal honeycomb cores with consideration for geometric nonlinearity

K Qiu, Z Wang, W Zhang - Aerospace Science and Technology, 2016 - Elsevier
Flexible hexagonal honeycomb cores exhibit nonlinear elastic properties due to the large
geometric deformation. To rapidly and efficiently analyze the mechanical properties of …

Topology optimization of microstructures of cellular materials and composites for macrostructures

X Huang, SW Zhou, YM Xie, Q Li - Computational Materials Science, 2013 - Elsevier
This paper introduces a topology optimization algorithm for the optimal design of cellular
materials and composites with periodic microstructures so that the resulting macrostructure …

Multiscale design and multiobjective optimization of orthopedic hip implants with functionally graded cellular material

S Arabnejad Khanoki, D Pasini - 2012 - asmedigitalcollection.asme.org
Revision surgeries of total hip arthroplasty are often caused by a deficient structural
compatibility of the implant. Two main culprits, among others, are bone-implant interface …

Concurrent topology optimization for minimizing frequency responses of two-level hierarchical structures

WM Vicente, ZH Zuo, R Pavanello, TKL Calixto… - Computer Methods in …, 2016 - Elsevier
This paper presents a concurrent topology optimization methodology for minimizing the
frequency responses of multiscale systems composed of macro and micro phases. Although …

Topology optimization of three dimensional tissue engineering scaffold architectures for prescribed bulk modulus and diffusivity

H Kang, CY Lin, SJ Hollister - Structural and Multidisciplinary Optimization, 2010 - Springer
Tissue engineering scaffolds play critical roles in skeletal tissue regeneration by supporting
physiological loads as well as enhancing cell/tissue migration and formation. These roles …