# Nonlinear Constitutive Laws in Viscoelasticity

@article{Drapaca2007NonlinearCL, title={Nonlinear Constitutive Laws in Viscoelasticity}, author={Corina S. Drapaca and Sivabal Sivaloganathan and Giuseppe Tenti}, journal={Mathematics and Mechanics of Solids}, year={2007}, volume={12}, pages={475 - 501} }

The theory of viscoelasticity appears to play a central role in the description of materials which exhibit time dependent stress—strain behavior. Various materials like polymers, some soft biological tissues, and various foods have been already successfully modeled as nonlinear viscoelastic materials.The literature in these application areas is replete with different, seemingly unconnected nonlinear viscoelastic models. The aim of the present paper is to review the classical nonlinear… Expand

#### 60 Citations

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A formulation to model the nonlinear viscoelastic properties of the vascular tissue

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On modelling nonlinear viscoelastic effects in ligaments

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Experiments in human ligaments revealed that the rate of stress relaxation in such materials is strain dependent. This nonlinear behavior requires therefore a modified description of the standard… Expand

On modelling nonlinear viscoelastic effects in ligaments.

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The structural model presented herein is based on a local additive decomposition of the stress tensor into initial and non-equilibrium parts as resulted from the assumed structure of the free energy density function that generalizes Kelvin-Voigt nonlinear viscous models. Expand

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An overview of the subject for both elastic and viscoelastic materials is provided, including uses in civil engineering, the food industry, land mine detection and ultrasonic imaging, and some applications for these constitutive equations. Expand

A Brief Review of Elasticity and Viscoelasticity

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