On the stability of asymmetric deformations of a symmetrically-tensioned elastic sheet
From MaRDI portal
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
Related Items (8)
Constitutive Models and Singularity Types for an Elastic Biaxially Loaded Rubber Sheet ⋮ Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching ⋮ Asymmetric equilibrium configurations of hyperelastic cylindrical bodies under symmetric dead loads ⋮ Singularities of homogeneous deformations in finite elasticity ⋮ Important aspects in the formulation of solid-fluid debris-flow models. II: Constitutive modelling ⋮ A variationally consistent contact formulation based on a mixed interpolation point method and isogeometric discretization ⋮ Instability analysis in pressurized three-layered fiber-reinforced anisotropic rubber tubes in torsion ⋮ On the dead load boundary value problem
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
This page was built for publication: On the stability of asymmetric deformations of a symmetrically-tensioned elastic sheet