Local bifurcation analysis of a second-gradient model for deformations of a rectangular slab
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Publication:868701
DOI10.1007/s10659-006-9093-xzbMath1110.74025OpenAlexW2133631921MaRDI QIDQ868701
Pablo V. Negrón-Marrero, Errol L. Montes-Pizarro
Publication date: 6 March 2007
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-006-9093-x
Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Equations linearized about a deformed state (small deformations superposed on large) (74B15)
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Violation of the complementing condition and local bifurcation in nonlinear elasticity ⋮ Injective weak solutions in second-gradient nonlinear elasticity
Cites Work
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- On barrelling instabilities in finite elasticity
- Buckling and barrelling instabilities in finite elasticity
- A gradient approach to localization of deformation. I. Hyperelastic materials
- On the positivity of the second variation in finite elasticity
- On existence and uniqueness of solutions of boundary value problems of fourth order elliptic partial differential equations with variable coefficients
- An introduction to partial differential equations
- Global continuation in nonlinear elasticity
- Unbounded branches of classical injective solutions to the forced displacement problem in nonlinear elastostatics
- Global bifurcation in nonlinear elasticity with an application to barrelling states of cylindrical columns
- Axisymmetric deformations of buckling and barrelling type for cylinders under lateral compression -- the linear problem
- An introduction to continuum mechanics
- Some existence theorems of the traction boundary value problem of linearized elastostatics
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- On barrelling for a special material in finite elasticity
- Buckling and barrelling instabilities on non-linearly elastic columns
- Cohesive elasticity and surface phenomena
- Global Continuation via Higher-Gradient Regularization and Singular Limits in Forced One-Dimensional Phase Transitions
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Nonlinear problems of elasticity