Minimization in nonlinear elasticity theory for bodies reinforced with inextensible cords
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Publication:1198454
DOI10.1007/BF00041892zbMath0768.73097MaRDI QIDQ1198454
G. P. MacSithigh, Roger L. Fosdick
Publication date: 16 January 1993
Published in: Journal of Elasticity (Search for Journal in Brave)
principle of minimum potential energynecessary conditionstangent spacenon-constitutive constraint reaction termpiecewise-smooth minimizersmooth semi- inverse solutions
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A mixed higher order FEM for fully coupled compressible transversely isotropic finite hyperelasticity ⋮ Convexity and quasiconvexity in a Cosserat model for fiber-reinforced elastic solids ⋮ A mixed finite element formulation for compressible finite hyperelasticity with two fibre family reinforcement ⋮ A mixed finite element formulation for slightly compressible finite elasticity with stiff fibre reinforcement. Two fibre families. Uniaxial tension formulation ⋮ Representations for transversely hemitropic and transversely isotropic stress-strain relations ⋮ A 3-field formulation for strongly transversely isotropic compressible finite hyperelasticity ⋮ Cosserat elasticity of lattice solids
Cites Work
- On wave propagation in inextensible elastic bodies
- Symmetry and bifurcation in three-dimensional elasticity. II
- Symmetry and bifurcation in three-dimensional elasticity
- Constitutive laws and existence questions in incompressible nonlinear elasticity
- Internal constraints in linear elasticity
- On mixed boundary-value problems for inextensible elastic materials
- Convexity conditions and existence theorems in nonlinear elasticity
- Minimization in incompressible nonlinear elasticity theory
- Symmetry and bifurcation in three-dimensional elasticity. I
- On the Dirichlet problem for incompressible elastic materials
- The Traction Problem For Incompressible Materials
- ON THE DISPLACEMENT BOUNDARY-VALUE PROBLEM FOR INEXTENSIBLE ELASTIC MATERIALS
- Plane Deformations of Incompressible Fiber-Reinforced Materials
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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