On the stability of asymmetric deformations of a symmetrically-tensioned elastic sheet
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Publication:1091847
DOI10.1016/0020-7225(87)90048-6zbMath0623.73042OpenAlexW2035323883MaRDI QIDQ1091847
Publication date: 1987
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7225(87)90048-6
stabilityCritical valuesequal in-plane tensionsglobal unsymmetric bifurcation branchnonhomogeneous mode of deformationplane incompressible isotropic elastic membranesecondary branchingsymmetricallyunsymmetrically deformed homogeneous configuration
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Cites Work
- Unnamed Item
- Local and global bifurcation phenomena in plane-strain finite elasticity
- Bifurcation of plane incompressible elastic membranes subjected to dead- load tractions
- Stability of an elastic cube under dead loading: two equal forces
- On the incremental equations in non-linear elasticity - I. Membrane theory
- On the incremental equations in non-linear elasticity - II. Bifurcation of pressurized spherical shells
- On the stability of finitely deformed elastic membranes. I: Stability of a uniformly deformed plane membrane
- On nonuniqueness in the traction boundary-value problem for a compressible elastic solid
- Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions
- ENERGY-MINIMAL FINITE DEFORMATIONS OF A SYMMETRICALLY LOADED ELASTIC SHEET
- Constitutive branching in elastic materials
- Stability of pure homogeneous deformations of an elastic cube under dead loading
- Large elastic deformations of isotropic materials. I. Fundamental concepts
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