Equilibrium states of nonlinearly elastic rods

DOI10.1016/0022-247X(68)90083-8zbMath0165.27704OpenAlexW2011867847MaRDI QIDQ2530008

Stuart S. Antman

Publication date: 1968

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(68)90083-8

zbMATH Keywords

mechanics of solids

Related Items (6)

Buckling of nonlinear elastic rod ⋮ A variational rod model with a singular nonlocal potential ⋮ Ordinary differential equations of non-linear elasticity. II: Existence and regularity theory for conservative boundary value problems ⋮ Convexity conditions and existence theorems in nonlinear elasticity ⋮ Initial-boundary value problems for an extensible beam ⋮ Controllable deformations of elastic spatial rods

Cites Work

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• An application of the calculus of variations in the large to the equations of nonlinear elasticity
• General solutions for plane extensible elasticae having nonlinear stress-strain laws
• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
• Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions
• Existence of buckled states of circular plates

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