Advantages of formulating evolution equations for elastic-viscoplastic materials in terms of the velocity gradient instead of the spin tensor
M.B. Rubin,Ondrej Papes +1 more
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This article is published in Journal of Mechanics of Materials and Structures.The article was published on 2011-06-28 and is currently open access. It has received 32 citations till now. The article focuses on the topics: Spin tensor & Tensor density.read more
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Erratum to: Modeling a smooth elastic---inelastic transition with a strongly objective numerical integrator needing no iteration
TL;DR: In this paper, simplified constitutive equations are proposed that capture the main effects of elastic-plastic and elastic-viscoplastic materials with only a few material parameters, and a robust and strongly objective numerical integrator for these simplified evolution equations has been developed which needs no iteration.
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A large deformation breakage model of granular materials including porosity and inelastic distortional deformation rate
M.B. Rubin,Itai Einav +1 more
TL;DR: In this article, a general constitutive model of crushable granular materials is developed within the context of large deformations, where the time evolution equations for breakage, inelastic porous compaction and dilation, and distortional deformations are coupled by a yield surface.
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Elastic-viscoplastic modeling of soft biological tissues using a mixed finite element formulation based on the relative deformation gradient.
TL;DR: The numerical implementation of both the generalized framework and the specific Rubin and Bodner model is presented and, as an example of a challenging application of the new model equations, the mechanical response of facial skin tissue is characterized through an experimental campaign based on the suction method.
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A unified theoretical structure for modeling interstitial growth and muscle activation in soft tissues
TL;DR: A new unified theoretical structure for modeling interstitial growth and muscle activation in soft tissues is developed and the rate of growth appears in the evolution equations and not a growth tensor it is possible to model the combined effects of multiple growth and Muscle activation mechanisms simultaneously.
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A model for the compressible, viscoelastic behavior of human amnion addressing tissue variability through a single parameter.
Arabella Mauri,Alexander E. Ehret,Alexander E. Ehret,Davide S.A. De Focatiis,Edoardo Mazza,Edoardo Mazza +5 more
TL;DR: An accurate agreement of the model with the mean tension and kinematic response of amnion in uniaxial relaxation tests was achieved and suggests that a wide range of viscoelastic behaviors due to patient-specific variations in tissue composition can be represented by the model without the need of recalibration and parameter identification.
References
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Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science
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Nonlinear Solid Mechanics: A Continuum Approach for Engineering
TL;DR: In this paper, the authors introduce the concept of stress and balance principles for tensors and invariance of tensors in the context of Vectors and Tensors, and present a survey of the main aspects of objectivity.
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Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis
Thomas J. R. Hughes,James Winget +1 more
TL;DR: In this article, an improved algorithm is presented for integrating rate constitutive equations in large deformation analysis, and the algorithm is shown to be "objective" with respect to large rotation increments.
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Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
TL;DR: In this paper, a formulation and algorithmic treatment of static and dynamic plasticity at finite strains based on the multiplicative decomposition is presented which inherits all the features of the classical models of infinitesimal plasticity.