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Application of computationally efficient TR-BDF2 scheme for the finite element implementation of explicit non-linear viscoelastic models for filled elastomers

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TLDR
A user-defined subroutine, UMAT for continuum elements, is employed to implement a model similar to the one developed and extensively validated experimentally by Devendiran et al, which is used to determine the rolling resistance of a Grosch wheel.
Abstract
This paper presents the implementation of a nonlinear viscoelastic multi-configurational rate type material model within the general framework of the commercial finite element package Abaqus (Impli...

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Citations
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A thermodynamic framework for additive manufacturing of crystallizing polymers, Part II: Simulation of the printing of a stent

TL;DR: In this paper , the authors used the theory developed by [43] to simulate in Abaqus the printing of a drug-eluting bioresorbable stent (BRS), which is used to treat a stenosed renal artery, by fused deposition modeling.
References
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Book

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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Constitutive models of rubber elasticity: A review

TL;DR: A review of constitutive models for the finite deformation response of rubbery materials is given in this article, where several recent and classic statistical mechanics and continuum mechanics models of incompressible rubber elasticity are discussed and compared to experimental data.
Journal ArticleDOI

A thermodynamic frame work for rate type fluid models

TL;DR: In this paper, the authors develop a thermodynamic approach for modeling a class of viscoelastic fluids based on the notion of an evolving natural configuration, where the material has a family of elastic responses governed by a stored energy function that is parametrized by the ''natural configurations''. Changes in the current natural configuration result in dissipative behavior that is determined by a rate of dissipation function.
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Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity

TL;DR: In this article, an algorithm for the numerical computation of so-called consistent tangent moduli in finite inelasticity is presented, where the moduli determine the sensitivity of algorithmic expressions for stresses with respect to the change in total deformation.