Identification of microstructural information from macroscopic boundary measurements in steady‐state linear elasticity

DOI10.1002/mma.8581zbMath1529.35026MaRDI QIDQ6141910

Malte A. Peter, Tanja Lochner

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

linear elasticityparameter identificationperiodic homogenizationshape derivative

Mathematics Subject Classification ID

Inverse problems in equilibrium solid mechanics (74G75) Inverse problems for PDEs (35R30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Damage and fracture evolution in brittle materials by shape optimization methods
• Topology optimization of modulated and oriented periodic microstructures by the homogenization method
• Homogenization of linearized elasticity in a two-component medium with slip displacement conditions
• Variation and optimization of formes. A geometric analysis
• Optimization of Textile-Like Materials via Homogenization and Beam Approximations
• Identification of elastoplastic microscopic material parameters within a homogenization scheme
• Shapes and Geometries
• The Periodic Unfolding Method
• An introduction to the mathematical theory of inverse problems
• Inverse problems for partial differential equations
• Shape optimization by the homogenization method
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