On the homogenization of a new class of locally periodic microstructures in linear elasticity with residual stress

DOI10.1177/1081286517701312zbMath1401.74237arXiv1606.03404OpenAlexW2964153873MaRDI QIDQ4691198

Brian Seguin

Publication date: 19 October 2018

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03404

zbMATH Keywords

anisotropic materialsmultiscale analysiseffective coefficientsinhomogeneous materialsnonperiodic microstructure

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Effective constitutive equations in solid mechanics (74Q15) Homogenization in equilibrium problems of solid mechanics (74Q05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An approximate homogenization scheme for nonperiodic materials
• Multiscale Young measures in almost periodic homogenization and applications
• Homogenization of a non-periodic material
• Material inhomogeneities and their evolution. A geometric approch.
• Materially uniform simple bodies with inhomogeneities
• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
• SCALE CONVERGENCE IN HOMOGENIZATION
• Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures
• Elements of Continuum Mechanics and Thermodynamics
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Three models of non periodic fibrous materials obtained by homogenization
• Homogenisation and θ — 2 convergence
• The two-scale convergence method applied to generalized Besicovitch spaces
• Two-Scale Convergence for Locally Periodic Microstructures and Homogenization of Plywood Structures
• The Periodic Unfolding Method in Homogenization

This page was built for publication: On the homogenization of a new class of locally periodic microstructures in linear elasticity with residual stress