Multiscale Modeling of Weakly Compressible Elastic Materials in the Harmonic Regime and Applications to Microscale Structure Estimation

DOI10.1137/130921866zbMath1312.74026OpenAlexW2104827296MaRDI QIDQ5250342

Alfonso Caiazzo, Joaquin Mura

Publication date: 19 May 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a6367ba1b4c9068c8b6798978e23e55ea6c23b2a

zbMATH Keywords

inverse problemlinear elasticityhomogenizationelastographyweakly compressible material

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Homogenization in equilibrium problems of solid mechanics (74Q05) Biomechanical solid mechanics (74L15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Computational methods for problems pertaining to biology (92-08)

Related Items (1)

A Two-Scale Homogenization Approach for the Estimation of Porosity in Elastic Media

Uses Software

• FreeFem++

Cites Work

• Adjoint-weighted equation for inverse problems of incompressible plane-stress elasticity
• Small amplitude homogenization applied to inverse problems
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• Finite element methods (Part 1)
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• Micromechanical Modeling of the Anisotropy of Elastic Biological Composites
• Multiscale Modeling of Elastic Waves: Theoretical Justification and Numerical Simulation of Band Gaps
• Homogenization of Elastic Media with Gaseous Inclusions
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Homogenization and Two-Scale Convergence
• Solution of inverse problems in elasticity imaging using the adjoint method
• Homogenization in perforated domains with rapidly pulsing perforations
• Shape optimization for viscous flows by reduced basis methods and free‐form deformation

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