Nonlinear elasticity in a deforming ambient space

DOI10.1007/s00332-016-9315-8zbMath1383.74015OpenAlexW2465126814MaRDI QIDQ513870

Arash Yavari, Souhayl Sadik, Arkadas Ozakin

Publication date: 8 March 2017

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-016-9315-8

zbMATH Keywords

nonlinear elasticitygeometric mechanicsdeforming ambient space

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Kinematics of deformation (74A05)

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Cites Work

• A geometric theory of nonlinear morphoelastic shells
• A geometric theory of growth mechanics
• The imbedding problem for Riemannian manifolds
• Covariance in linearized elasticity
• On the rotated stress tensor and the material version of the Doyle- Ericksen formula
• Riemann-Cartan geometry of nonlinear dislocation mechanics
• Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media
• Covariant time derivatives for dynamical systems
• The geometry of discombinations and its applications to semi-inverse problems in anelasticity
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• On spatial and material covariant balance laws in elasticity
• A geometric theory of thermal stresses
• Geometric nonlinear thermoelasticity and the time evolution of thermal stresses
• Weyl geometry and the nonlinear mechanics of distributed point defects
• Nonlinear elastic inclusions in isotropic solids
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