Minimization in nonlinear elasticity theory for bodies reinforced with inextensible cords

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)

zbMATH Keywords

principle of minimum potential energynecessary conditionstangent spacenon-constitutive constraint reaction termpiecewise-smooth minimizersmooth semi- inverse solutions

Mathematics Subject Classification ID

Related Items (7)

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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