Material symmetry and crystals

DOI10.1007/BF00375162zbMath0696.73002OpenAlexW4254807914MaRDI QIDQ911336

Brian Hertog, Roger L. Fosdick

Publication date: 1990

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00375162

zbMATH Keywords

invariancelattice description of crystalslocal material symmetry grouplocal theory of material symmetrystored energy response function

Mathematics Subject Classification ID

Crystalline structure (74E15) Statistical mechanics of crystals (82D25) Elastic materials (74B99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

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On a kinematic compatibility equation related to elastic stress-free joints and crystal twins, Reconciliation of local and global symmetries for a class of crystals with defects, On configurational weak phase transitions in graphene, Self-accommodation in martensite, On the material symmetry group of elastic crystals and the Born rule

Cites Work

• Reconciliation of local and global symmetries of crystals
• On \(\nu +1\)-lattices
• Displacive phase transformations in solids
• Some phase transitions in crystals
• On the symmetry of deformable crystals
• On thermodynamics and thermostatics of viscous thermoelastic solids in the electromagnetic fields. A Lagrangian formulation
• Phases of elastic materials
• On a general representation theorem for constitutive relations
• Special Topics in Elastostatics
• On the elasticity of monatomic crystals
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