An extension of Herrmann's principle to nonlinear elasticity
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Publication:1364637
DOI10.1016/S0307-904X(96)00151-5zbMath0929.74015OpenAlexW2000812247MaRDI QIDQ1364637
Publication date: 27 August 1997
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0307-904x(96)00151-5
strain energy functionvariational methodsincompressible bodiesfinite deformation of hyperelastic bodiesnearly incompressible bodies
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Cites Work
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- Boundary element method for finite elasticity
- Anisotropic stress-softening model for compressible solids
- A finite element approach for large strains of nearly incompressible rubber-like materials
- Locking effects in the finite element approximation of elasticity problems
- Volume changes associated with the deformation of rubber-like solids
- Nearly isochoric elastic deformations: Application to rubberlike solids
- A general approach to axial deformation of bonded elastic mounts of various cross-sectional shapes
- Influence of Poisson's ratio on the condition of the finite element stiffness matrix
- Application of the boundary element method to rubber-like elasticity
- Finite element analysis of incompressible material by residual energy balancing
- Static and Dynamic BEM Analysis of Strain Gradient Elastic Solids and Structures
- On nonuniqueness in the traction boundary-value problem for a compressible elastic solid
- Mixed and Hybrid Finite Element Methods
- LINEAR FINITE-ELEMENT EQUATIONS FOR NONLINEAR DEFORMATION OF SLIGHTLY COMPRESSIBLE ELASTIC MATERIAL
- The use of orthogonal projections to handle constraints with applications to incompressible four‐node quadrilateral elements
- Superconvergent boundary stress extraction and some experiments with adaptive pointwise error control
- Aspects of the formulation and finite element implementation of large strain isotropic elasticity
- Incompressibility and axisymmetry: A modified mixed and penalty formulation
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