On the compatibility equations of nonlinear and linear elasticity in the presence of boundary conditions

DOI10.1007/s00033-015-0575-1zbMath1351.74009OpenAlexW1244406151MaRDI QIDQ903261

Arzhang Angoshtari, Arash Yavari

Publication date: 5 January 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0575-1

zbMATH Keywords

Hodge decompositiondisplacement gradientvirtual workPiola-Kirchhoff stress tensor field

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Nonlinear elasticity (74B20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Applications of Algebraic Topology in Elasticity ⋮ Hilbert complexes of nonlinear elasticity ⋮ On the equation \(A \nabla u + \left( \nabla u\right)^t A = G\) ⋮ The weak compatibility equations of nonlinear elasticity and the insufficiency of the Hadamard jump condition for non-simply connected bodies

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• On The Potential Theory Of Coclosed Harmonic Forms

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