Construction of the effective plastic yield surfaces of vertebral trabecular bone under twisting and bending moments stresses using a 3D microstructural model

DOI10.1002/ZAMM.201600141OpenAlexW2534125745MaRDI QIDQ6065109

Jean-François Ganghoffer, Ibrahim Goda

Publication date: 11 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201600141

zbMATH Keywords

cellular solidstrabecular bonemicropolar theorydiscrete homogenizationplastic yield surfacetorsional and bending couple stresses

Mathematics Subject Classification ID

Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx) Homogenization, determination of effective properties in solid mechanics (74Qxx) Special subfields of solid mechanics (74Lxx)

Related Items (1)

A new high-order deformation theory and solution procedure based on homogenized strain energy density

Cites Work

• Size dependent static and dynamic behavior of trabecular bone based on micromechanical models of the trabecular architecture
• 3D plastic collapse and brittle fracture surface models of trabecular bone from asymptotic homogenization method
• A general constitutive relation for linear elastic foams
• Consistent tangent operator for an exact Kirchhoff rod model
• The influence of different geometries of matrix/scaffold on the remodeling process of a bone and bioresorbable material mixture with voids

This page was built for publication: Construction of the effective plastic yield surfaces of vertebral trabecular bone under twisting and bending moments stresses using a 3D microstructural model