Anisotropic finite strain viscoelasticity based on the Sidoroff multiplicative decomposition and logarithmic strains

Latorre, Marcos; Montáns, Francisco J.

doi:10.1007/s00466-015-1184-8

Cited by 66 publications

(125 citation statements)

References 67 publications

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“…(20) and (23) and, in the light of the above lines see that they both indeed present clearly different views of the physics behind the same problem. This observation is again parallel to that presented in large strain viscoelasticity [76] where the use of the novel approach allowed for the development of phenomenological anisotropic formulations valid for large deviations from thermodynamic equilibrium.…”

Section: Dissipation Inequality and Flow Rule In Terms Of Spatial Plasupporting

confidence: 62%

“…Once the symmetric flow given by Eq. (110) is integrated, the intermediate configuration, defined by X p , remains undetermined up to an arbitrary finite rotation R e [46], which may be finally updated during the convergence phase for the computation of the next incremental load step, as we already did in a similar multiplicative framework based on the Sidoroff decomposition for viscoelasticity [76]. The six-dimensional elastic-corrector-type flow rule of Eq.…”

Section: Dissipation Inequality and Flow Rule In Terms Of Natural Cormentioning

confidence: 99%

“…Furthermore, the numerical integration of the flow rule of Eq. (110) may be directly performed with a backward-Euler additive scheme, without explicitly employing exponential mappings, and plastic volume preservation is automatically accomplished for models of plasticity possessing a pressure insensitive yield criterion, hence rendering the most natural generalization of the classical return mapping algorithms of the infinitesimal theory [76].…”

Section: The Stem Yield Functionmentioning

confidence: 99%

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A new class of plastic flow evolution equations for anisotropic multiplicative elastoplasticity based on the notion of a corrector elastic strain rate

Latorre

Montáns

2018

Applied Mathematical Modelling

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In this paper we present a new general framework for anisotropic elastoplasticity at large strains. The new framework presents the following characteristics: (1) It is valid for non-moderate large strains, (2) it is valid for both elastic and plastic anisotropy, (3) its description in rate form is parallel to that of the infinitesimal formulation, (4) it is compatible with the multiplicative decomposition, (5) results in a similar framework in any stress-strain work-conjugate pair, (6) it is consistent with the principle of maximum plastic dissipation and (7) does not impose any restriction on the plastic spin, which must be given as an independent constitutive equation. Furthermore, when formulated in terms of logarithmic strains in the intermediate configuration: (8) it may be easily integrated using a classical backward-Euler rule resulting in an additive update. All these properties are obtained simply considering a plastic evolution in terms of a corrector rate of the proper elastic strain. This formulation presents a natural framework for elastoplasticity of both metals and soft materials and solves the so-called rate issue.

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Section: Dissipation Inequality and Flow Rule In Terms Of Spatial Plasupporting

confidence: 62%

Section: Dissipation Inequality and Flow Rule In Terms Of Natural Cormentioning

confidence: 99%

Section: The Stem Yield Functionmentioning

confidence: 99%

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A new class of plastic flow evolution equations for anisotropic multiplicative elastoplasticity based on the notion of a corrector elastic strain rate

Latorre

Montáns

2018

Applied Mathematical Modelling

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“…Extensions of the presented AC material modeling were recently published in [8,9] for anisotropic finite strain viscoelasticity. The anisotropic models proposed account for nonlinear stress response in fiber-reinforced polymers and will be validated at a later point in time for suitable industrial applications.…”

Section: Ac Model Descriptionmentioning

confidence: 99%

Validation of Advanced Constitutive Models for Accurate FE Modeling of TPU

Eberlein

Rizos²

2019

Adv. Mater. Lett.

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Thermoplastic polyurethanes (TPU) have become preferred materials for demanding high strain rate applications in many industries throughout past years. Due to their comparatively high abrasion resistance and toughness, TPU materials form an excellent fit for critical components sustaining high pressures in combination with harsh ambient conditions. This presentation illustrates a comparatively new field of critical applications for TPU components. While the operational pressures remain rather moderate at maximum 50 bar, challenges arise from high-frequency, cyclic loading conditions. In order to design robust dynamic TPU components, two main tasks must be accomplished: (i) visco-elastic-plastic material modeling and parameter identification, and (ii) material validation under realistic dynamic loading conditions on system level by means of advanced finite element (FE) simulations. This article puts (i) emphasis on the material calibration process and (ii) specifically demonstrates material validation on system level for selected TPU materials. In this context strain rate dependency of various TPU grades is discussed, which illustrates deficiencies of classical material modeling techniques available in commercial finite element software versus advanced nonlinear models. Eventually, recommendations are provided for an efficient but also accurate material calibration process of solid TPU materials that can significantly enhance product innovation processes.

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“…A viscoelastic, orthotropic material model based on finite logarithmic strains has been recently proposed by Latorre and Montáns [35].…”

Section: Orthotropic Hencky and Exponentiated Hencky Modelsmentioning

confidence: 99%

The exponentiated Hencky energy: anisotropic extension and case studies

2017

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In this paper we propose an anisotropic extension of the isotropic exponentiated Hencky energy, based on logarithmic strain invariants. Unlike other elastic formulations, the isotropic exponentiated Hencky elastic energy has been derived solely on differential geometric grounds, involving the geodesic distance of the deformation gradient F to the group of rotations. We formally extend this approach towards anisotropy by defining additional anisotropic logarithmic strain invariants with the help of suitable structural tensors and consider our findings for selected case studies.

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Anisotropic finite strain viscoelasticity based on the Sidoroff multiplicative decomposition and logarithmic strains

Cited by 66 publications

References 67 publications

A new class of plastic flow evolution equations for anisotropic multiplicative elastoplasticity based on the notion of a corrector elastic strain rate

A new class of plastic flow evolution equations for anisotropic multiplicative elastoplasticity based on the notion of a corrector elastic strain rate

Validation of Advanced Constitutive Models for Accurate FE Modeling of TPU

The exponentiated Hencky energy: anisotropic extension and case studies

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