Saint-Venant's principle in nonlinear plane elasticity with sufficiently small strains

DOI10.1007/BF00251522zbMath0509.73005OpenAlexW2095152092MaRDI QIDQ1838341

Joseph J. Roseman, Shlomo Breuer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00251522

zbMATH Keywords

no body forcesarbitrary loadingscross-section is rectangleequilibrium state of plane strainhomogeneous, isotropic cylinderlong sides are stress freelong thin strippointwise stress estimatesstatically equivalent to uniformly distributed tensile or compressive stressstrains and strain gradients assumed sufficiently small

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Saint-Venant's principle (74G50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Membranes (74K15)

Related Items (5)

Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip ⋮ On the asymptotic behaviour at infinity of solutions of the traction boundary value problem ⋮ On Saint-Venant's principle in finite anti-plane shear: An energy approach ⋮ Decay theorems for nonlinear Dirichlet problems in semi-infinite cylinders ⋮ Asymptotic behaviour in the nonlinear elastic beam

Cites Work

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• The effect of nonlinearity on a principle of Saint-Venant type
• On the proof of the Saint-Venant principle for bodies of arbitrary shape
• On Saint-Venant's principle in three-dimensional nonlinear elasticity
• Saint-Venant's principle in linear two-dimensional elasticity for non- striplike domains
• Sur le principe de Saint-Venant en élasticité plane: Une evaluation du decrement logarithmique pour le problème non-homogene
• Another aspect of Saint-Venant's principle in elasticity
• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• The principle of Saint-Venant in linear and non-linear plane elasticity

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