The pure displacement problem in nonlinear three-dimensional elasticity: Intrinsic formulation and existence theorems

DOI10.1016/J.CRMA.2009.03.020zbMath1163.74006OpenAlexW2057808903MaRDI QIDQ1022312

Philippe G. Ciarlet, Christinel Mardare

Publication date: 10 June 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.03.020

zbMATH Keywords

minimization problemBanach manifoldnon-coercive functionalCauchy-Green strain tensor

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (4)

Intrinsic formulation and Lagrange duality for elastic cable networks with geometrical nonlinearity ⋮ Hyper-elastic Ricci flow ⋮ LAGRANGE MULTIPLIERS IN INTRINSIC ELASTICITY ⋮ On the convexity of nonlinear elastic energies in the right Cauchy-Green tensor

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