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The modeling of engineering materials at finite strain is a subject of much research.
Constitutive models for orthotropic, transversely isotropic and isotropic hyperelastic materials at finite strains with or without dissipation are included as special cases.
This work defines an incompressible, hyperelastic theory of anisotropic soft materials at finite strains, which is tested by application to the experimental response of fiber-reinforced rubber materials.
In this work we derive a general model for N−phase isotropic, incompressible, rate-independent elasto-plastic materials at finite strains.
Generating stress strain relations based upon three-dimensional discrete element simulations, for hierarchical multiscale constitutive modeling of granular materials at finite strain, requires measures of stress and strain in the reference and current configurations.
With Seth-Hill (Doyle-Ericksen) class of finite strain measures, this extension actually defines a broad class of compressible hyperelastic materials at finite strain, each of which retains the simple linear structure of Hooke's law as stress strain relationship.
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The wave speeds in rotating thick-walled circular cylinders of incompressible, isotropic, hyperelastic material at finite deformation are investigated.
The development is based on the framework of a recently developed second-order homogenization theory, and takes into account the waviness, orientations and spatial distribution of the fibers, as well as the material nonlinearity at finite-strain deformation.
It is found that the graphene sheet possesses a material softening behaviour at finite strains and hardening behaviour at finite curvatures.
Material non-linearity is introduced for an elastic perfectly plastic material through the plastic hinge formation at finite element nodes and for this a new plastic reduction matrix of the element is determined.
This paper presents a new methodology to model failure phenomena in nonwoven materials with a random network microstructure at finite deformations.
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