Maxwell–Eshelby relation in Cosserat elasticity theory

DOI10.1177/10812865221077456OpenAlexW4212892134MaRDI QIDQ5048091

Milad Shirani

Publication date: 17 November 2022

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

Full work available at URL: https://doi.org/10.1177/10812865221077456

zbMATH Keywords

continuum mechanicsCosserat elasticitysurface of discontinuityHadamard compatibility conditionsMaxwell-Eshelby relation

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

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• Acceleration waves and ellipticity in thermoelastic micropolar media
• Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity
• On natural strain measures of the non linear micropolar continuum
• A further note on finite-strain force and moment stress elasticity
• Stability of the Banach space valued Chebyshev differential equation
• The Maxwell relation and Eshelby's conservation law for minimizers in elasticity theory
• Description of subgroups of the full linear group over a semilocal ring that contain the group of diagonal matrices
• Equilibrium of bars
• Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity
• Quasiconvexity and rank-one convexity in Cosserat elasticity theory
• Continuum theory for mechanical metamaterials with a cubic lattice substructure
• Theories of elasticity with couple-stress
• The Weierstrass condition for multiple integral variation problems
• Note on the Equations of Finite-Strain Force and Moment Stress Elasticity
• Blind adaptive spatiotemporal filtering for wide-band cyclostationary signals
• The Legendre–Hadamard condition in Cosserat elasticity theory
• Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation