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Non-Linear Elastic Deformations
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In this paper, the influence of non-linear elastic systems on a simple geometric model for elastic deformations is discussed, and the authors propose a planar and spatial euler introduction to nonlinear analysis.Abstract:
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Modeling of Nonlinear Hysteresis in Elastomers under Uniaxial Tension
TL;DR: In this paper, a constitutive model for both quasi-static and dynamic deformations of a viscoelastic rod is proposed. And the constitutive laws are nonlinear and contain hysteresis through a Boltzmann superposition integral term.
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A large deformation framework for shape memory polymers: Constitutive modeling and finite element implementation
TL;DR: In this paper, shape memory polymers commonly experience both finite deformations and arbitrary thermomechanical loading conditions in engineering applications, which motivates the development of three-dimensional shape memory materials.
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Stochastic hyperelastic constitutive laws and identification procedure for soft biological tissues with intrinsic variability.
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TL;DR: This work addresses the constitutive modeling, in a probabilistic framework, of the hyperelastic response of soft biological tissues with a stochastic model relying on a low-dimensional parametrization.
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TL;DR: The basic concern of the present work is the systematic derivation of a new constitutive framework for transversely isotropic materials with a particular application to soft-tissue biomechanics, and it allows the material's principal axes to align progressively with the axes of principal strain.
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Improved 4-node Hu-Washizu elements based on skew coordinates
K. Wisniewski,E. Turska +1 more
TL;DR: In this paper, a mixed 4-node element based on the Hu-Washizu functional is developed for stress and strain representations in various coordinates, including the skew, natural and Cartesian ones.
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