On the perturbed Lagrangian formulation for nearly incompressible and incompressible hyperelasticity
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Publication:1371718
DOI10.1016/S0045-7825(96)01139-5zbMath0892.73057OpenAlexW1972296910WikidataQ127109824 ScholiaQ127109824MaRDI QIDQ1371718
Publication date: 13 November 1997
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01139-5
rate of convergenceconjugate transformationexistence conditionscompressibility parameterdiscrete hyperelasticity problemsvolumetric energy function
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hourglass control in linear and nonlinear problems
- Large strain analysis of rubber-like materials based on a perturbed Lagrangian variational principle
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Finite element analysis of incompressible viscous flows by the penalty function formulation
- Nonlinear versions of flexurally superconvergent elements
- On numerically accurate finite element solutions in the fully plastic range
- Large natural strains and some special difficulties due to non-linearity and incompressibility in finite elements
- On a variational theorem for incompressible and nearly-incompressible orthotropic elasticity
- A variational principle for incompressible and nearly-incompressible anisotropic elasticity
- Numerical analysis of finite axisymmetric deformations of incompressible elastic solids of revolution
- The finite element method with Lagrangian multipliers
- On the control of pressure oscillation in bilinear-displacement constant-pressure element
- On the formulation of variational theorems involving volume constraints
- A finite element formulation for nonlinear incompressible elastic and inelastic analysis
- An Existence Theorem for Slightly Compressible Materials in Nonlinear Elasticity
- Perturbation of mixed variational problems. Application to mixed finite element methods
- The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier-Stokes equations: Part 2
- A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
- Finite element methods for constrained problems in elasticity
- Mixed and Hybrid Finite Element Methods
- Finite element analysis of rubber‐like materials by a mixed model
- Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle—Part 2: Incompressible Materials
- A Pressure Projection Method for Nearly Incompressible Rubber Hyperelasticity, Part I: Theory
- Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
- Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure
