A Saint-Venant principle for nonlinear elasticity

DOI10.1007/BF00283164zbMath0519.73005MaRDI QIDQ1054495

Robin J. Knops, Lawrence E. Payne

Publication date: 1983

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

zbMATH Keywords

semi-infinite cylinderabsolute values not grow faster than given exponentialhomogeneous nonlinear elastic materialL2-integral of displacement over cross-section grows faster than some exponential of decays exponentially with distance from baseloaded on basenot assumed that stresses and displacement vanish at infinityself-equilibrated distribution of forcesstress free lateral sides

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Saint-Venant's principle (74G50)

Related Items (16)

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Cites Work

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• The rate of decay of a minimal surface defined over a semiinfinite strip
• The principle of Saint-Venant in linear and non-linear plane elasticity
• Saint-Venant's principle
• Energetic bounds in finite elasticity
• Spatial Decay Estimates for the Navier–Stokes Equations with Application to the Problem of Entry Flow

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