Some research directions in finite elasticity theory

DOI10.1007/BF01527907zbMath0376.73041MaRDI QIDQ4153703

Ronald S. Rivlin

Publication date: 1977

Published in: Rheologica Acta (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15) Nonlinear constitutive equations for materials with memory (74D10) Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (8)

The slowness surfaces of incompressible and nearly incompressible elastic materials ⋮ A Thermomechanical Theory of Solid-Fluid Mixtures ⋮ Theory and computation of the steady state harmonic response of viscoelastic rubber parts ⋮ Inhomogeneous deformation of elastomer gels in equilibrium under saturated and unsaturated conditions ⋮ Hyperelastic modeling of swelling in fibrous soft tissue with application to tracheal angioedema ⋮ On the relative energies of the Rivlin and cavitation instabilities for compressible materials ⋮ On deformations with constant modified stretches ⋮ Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions

Cites Work

• Unnamed Item
• Stress-deformation relations for anisotropic solids
• Bifurcation conditions for a thick elastic plate under thrust
• Stress channeling in transversely isotropic elastic composites
• Instability of an elastic material
• Propagation of a plane wave in an isotropic elastic material subjected to pure homogeneous deformation
• Deformations possible in every isotropic, incompressible, perfectly elastic body
• Large elastic deformations of isotropic materials X. Reinforcement by inextensible cords
• Generalized plane deformations of ideal fiber-reinforced materials
• Large elastic deformations of isotropic materials IV. further developments of the general theory
• Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure
• Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
• Finite extension and torsion of cylinders
• General theory of small elastic deformations superposed on finite elastic deformations
• Large elastic deformations of isotropic materials IX. The deformation of thin shells

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