Equilibrium analysis of finitely deformed elastic networks

DOI10.1007/BF00363980zbMath0851.73011MaRDI QIDQ1914978

Eliza M. Haseganu, David J. Steigmann

Publication date: 4 August 1996

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

long-time limitabsolute minimizerstotal potential energyrelaxed strain energy functionGreen's theoremmembrane theoryeffects of wrinklingfibre strain

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite difference methods applied to problems in solid mechanics (74S20)

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Uses Software

• CHIMP

Cites Work

• On the response and symmetry of elastic and hyperelastic membrane points
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• Numerical studies of loss of ellipticity near singularities in an elastic material
• Finite difference modeling of phase changes and localization in elasticity
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• Convexity conditions and existence theorems in nonlinear elasticity
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• Phase changes induced by deformation in isothermal elastic crystals
• Finite-element analysis of wrinkling membranes
• Equilibrium of elastic nets
• PLANE DEFORMATIONS OF MEMBRANES FORMED WITH ELASTIC CORDS
• Incompressibility in Dynamic Relaxation
• Equilibrium of prestressed networks
• Relaxed energy densities for large deformations of membranes
• Semicontinuity problems in the calculus of variations
• Direct methods in the calculus of variations
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