A phase field model for damage in elasto-viscoplastic materials

Shanthraj, Pratheek; Sharma, Luv; Svendsen, Bob; Roters, Franz; Raabe, Dierk

doi:10.1016/j.cma.2016.05.006

Cited by 95 publications

(46 citation statements)

References 34 publications

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“…Phase field approaches also provide a differential equation based continuum solution for evolution of damage. In principle, a phase field model based on a Ginzburg-Landau approach can be used as well, for example [21,23]. The resulting governing equations are similar to models based on the micromorphic approach, with an evolving length scale [24].…”

Section: Gradient Based Nonlocal Damagementioning

confidence: 99%

FFT-based interface decohesion modelling by a nonlocal interphase

Sharma

Peerlings

Shanthraj

et al. 2018

Adv. Model. and Simul. in Eng. Sci.

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In this paper, two nonlocal approaches to incorporate interface damage in fast Fourier transform (FFT) based spectral methods are analysed. In FFT based methods, the discretisation is generally non-conforming to the interfaces and hence interface elements cannot be used. This limitation is remedied using the interfacial band concept, i.e., an interphase region of a finite thickness is used to capture the response of a physical sharp interface. Mesh dependency due to localisation in the softening interphase is avoided by applying established regularisation strategies, integral based nonlocal averaging or gradient based nonlocal damage, which render the interphase nonlocal. Application of these regularisation techniques within the interphase sub-domain in a one dimensional FFT framework is explored. The effectiveness of both approaches in terms of capturing the physical fracture energy, computational aspects and ease of implementation is evaluated. The integral model is found to give more regularised solutions and thus a better approximation of the fracture energy.

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Section: Gradient Based Nonlocal Damagementioning

confidence: 99%

FFT-based interface decohesion modelling by a nonlocal interphase

Sharma

Peerlings

Shanthraj

et al. 2018

Adv. Model. and Simul. in Eng. Sci.

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“…The starting point for the finite element implementation is converting the strong forms of the displacement equilibrium Equation (28) and the phase field system Equation (29) to a weak form. By integration, the displacement equilibrium Equation (28) over the domain is:…”

Section: Finite Element Implementationmentioning

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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“…As damage is the dominating mechanism for the highly cold-rolled states, their behavior cannot be captured correctly within the current simulation framework. Nevertheless, current approaches of implementing damage models into DAMASK 46,47 will allow the tackling of this challenge in the near future.…”

Section: Discussionmentioning

confidence: 99%

Identifying Structure–Property Relationships Through DREAM.3D Representative Volume Elements and DAMASK Crystal Plasticity Simulations: An Integrated Computational Materials Engineering Approach

Diehl

Groeber

Haase

et al. 2017

JOM

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Predicting, understanding, and controlling the mechanical behavior is the most important task when designing structural materials. Modern alloy systems-in which multiple deformation mechanisms, phases, and defects are introduced to overcome the inverse strength-ductility relationship-give raise to multiple possibilities for modifying the deformation behavior, rendering traditional, exclusively experimentally-based alloy development workflows inappropriate. For fast and efficient alloy design, it is therefore desirable to predict the mechanical performance of candidate alloys by simulation studies to replace time-and resource-consuming mechanical tests. Simulation tools suitable for this task need to correctly predict the mechanical behavior in dependence of alloy composition, microstructure, texture, phase fractions, and processing history. Here, an integrated computational materials engineering approach based on the open source software packages DREAM.3D and DA-MASK (Dü sseldorf Advanced Materials Simulation Kit) that enables such virtual material development is presented. More specific, our approach consists of the following three steps: (1) acquire statistical quantities that describe a microstructure, (2) build a representative volume element based on these quantities employing DREAM.3D, and (3) evaluate the representative volume using a predictive crystal plasticity material model provided by DAMASK. Exemplarily, these steps are here conducted for a high-manganese steel.

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A phase field model for damage in elasto-viscoplastic materials

Cited by 95 publications

References 34 publications

FFT-based interface decohesion modelling by a nonlocal interphase

FFT-based interface decohesion modelling by a nonlocal interphase

A Phase Field Model for Rate-Dependent Ductile Fracture

Identifying Structure–Property Relationships Through DREAM.3D Representative Volume Elements and DAMASK Crystal Plasticity Simulations: An Integrated Computational Materials Engineering Approach

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