Analytical relations between effective material properties and microporosity: application to bone mechanics

DOI10.1016/j.ijengsci.2008.06.011zbMath1213.74223OpenAlexW2052947757MaRDI QIDQ540830

Carlos Bonifasi-Lista, Elena Cherkaev

Publication date: 4 June 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2008.06.011

zbMATH Keywords

inverse problemtorsionviscoelastic compositecancellous boneosteoporosis

Mathematics Subject Classification ID

Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (5)

Reconstruction of spectral function from effective permittivity of a composite material using rational function approximations ⋮ Stieltjes representation of the 3D Bruggeman effective medium and Padé approximation ⋮ Internal resonances and relaxation memory kernels in composites ⋮ On applications of Herglotz-Nevanlinna functions in material sciences. II: Extended applications and generalized theory ⋮ Principle of equivalent microstructure in micromechanics and its connection with the replacement relations. Thermal conductivity problem

Uses Software

• Regularization tools

Cites Work

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• Improved rigorous bounds on the effective elastic moduli of a composite material
• Non-homogeneous media and vibration theory
• Elastostatic resonances - A new approach to the calculation of the effective elastic constants of composites
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Inverse homogenization for evaluation of effective properties of a mixture
• Hierarchies of Stieltjes Functions and Their Application to the Calculation of Bounds for the Dielectric Constant of a Two-Component Composite Medium
• Inverse bounds for microstructural parameters of composite media derived from complex permittivity measurements
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• Computational Methods for Inverse Problems

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