The deal.II Library, Version 8.4

Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David

doi:10.1515/jnma-2016-1045

Cited by 227 publications

(234 citation statements)

References 13 publications

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“…Obviously, this condition is only necessary in areas close to the crack surface. The developed finite element code is based on deal.II open source software [40,41].…”

Section: Resultsmentioning

confidence: 99%

A Phase Field Model for Rate-Dependent Ductile Fracture

Badnava¹,

Etemadi

Msekh

2017

Metals

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Abstract:In this study, a phase field viscoplastic model is proposed to model the influence of the loading rate on the ductile fracture, as one of the main causes of metallic alloys' failure. To this aim, the effects of the phase field are incorporated in the Peric's viscoplastic model; the model can efficiently be converted to a standard rate-independent model. The novel aspects of this work include: Describing a coupling between rate-dependent plasticity and phase field formulation by defining an energy function that contains the energy dissipation caused by plastic deformation as well as the fracture process and elastic energy. In addition, the equations required to develop the numerical solution are presented. The governing equations are determined by a minimization principle that results in balance laws for the coupled displacement-phase field problem. Furthermore, an implicit integration algorithm for a viscoplasticity model coupled with a phase field is presented for a three-dimensional stress state. The proposed algorithm can be utilized for different constitutive models of rate-dependent and rate-independent plasticity models coupled with fracture by changing the definition of the plastic multiplier. In addition, to control the influence of the plastic deformation and its work on the crack propagation, a threshold variable is defined in the model. Finally, using the proposed model, the influence of the loading rate on the responses of the different specimens in one-dimensional and multi-dimensional cases is investigated and the accuracy of the results was verified by comparing them with existing experimental and numerical results. The obtained result proves that the model can simulate the impact of the loading rate on the material response, and the gradual change of the fracture phase from ductile to brittle, caused by increasing the loading rate.

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“…Obviously, this condition is only necessary in areas close to the crack surface. The developed finite element code is based on deal.II open source software [40,41].…”

Section: Resultsmentioning

confidence: 99%

A Phase Field Model for Rate-Dependent Ductile Fracture

Badnava¹,

Etemadi

Msekh

2017

Metals

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“…The numerical solution for the system of nonlinear equations was obtained using a finite-element framework that was implemented in deal.II [23].…”

Section: Methodsmentioning

confidence: 99%

The effect of intramuscular fat on skeletal muscle mechanics: implications for the elderly and obese

Rahemi

Nigam

Wakeling

2015

J. R. Soc. Interface.

164

138

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Skeletal muscle accumulates intramuscular fat through age and obesity. Muscle quality, a measure of muscle strength per unit size, decreases in these conditions. It is not clear how fat influences this loss in performance. Changes to structural parameters (e.g. fibre pennation and connective tissue properties) affect the muscle quality. This study investigated the mechanisms that lead to deterioration in muscle performance due to changes in intramuscular fat, pennation and aponeurosis stiffness. A finite-element model of the human gastrocnemius was developed as a fibre-reinforced composite biomaterial containing contractile fibres within the base material. The base-material properties were modified to include intramuscular fat in five different ways. All these models with fat generated lower fibre stress and muscle quality than their lean counterparts. This effect is due to the higher stiffness of the tissue in the fatty models. The fibre deformations influence their interactions with the aponeuroses, and these change with fatty inclusions. Muscles with more compliant aponeuroses generated lower forces. The muscle quality was further reduced for muscles with lower pennation. This study shows that whole-muscle force is dependent on its base-material properties and changes to the base material due to fatty inclusions result in reductions to force and muscle quality.

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“…Equations (18), (40), (41) and (19) allow the volume fractions to be calculated by also using Equations (35) and (37). The separator can be treated as a medium in which the active material and binder are replaced by a porous polymer that does not undergo lithium intercalation-induced swelling, but does experience thermal expansion.…”

Section: U (V)mentioning

confidence: 99%

Intercalation Driven Porosity Effects in Coupled Continuum Models for the Electrical, Chemical, Thermal and Mechanical Response of Battery Electrode Materials

Wang

Siegel

Garikipati

2017

J. Electrochem. Soc.

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We present a coupled continuum formulation for the electrostatic, chemical, thermal and mechanical processes in battery materials. Our treatment applies on the macroscopic scale, at which electrodes can be modelled as porous materials made up of active particles held together by binders and perfused by the electrolyte. Starting with the description common to the field, in terms of reaction-transport partial differential equations for ions, variants of the classical Poisson equation for electrostatics, and the heat equation, we add mechanics to the problem. Our main contribution is to model the evolution of porosity as a consequence of strains induced by intercalation, thermal expansion and mechanical stresses. Recognizing the potential for large local deformations, we have settled on the finite strain framework. We present a detailed computational study of the influence of the dynamically evolving porosity, upon ion distribution, electrostatic potential fields, charge-discharge cycles and mechanical force generated in the cell.

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The deal.II Library, Version 8.4

Abstract: This paper provides an overview of the new features of the finite element library deal.II version 8.4.

Cited by 227 publications

References 13 publications

A Phase Field Model for Rate-Dependent Ductile Fracture

A Phase Field Model for Rate-Dependent Ductile Fracture

The effect of intramuscular fat on skeletal muscle mechanics: implications for the elderly and obese

Intercalation Driven Porosity Effects in Coupled Continuum Models for the Electrical, Chemical, Thermal and Mechanical Response of Battery Electrode Materials

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