An anisotropic gradient damage model based on microplane theory

Badnava, H.; Mashayekhi, ‪Mohammadreza; Kadkhodaei, Mahmoud

doi:10.1177/1056789515586072

Cited by 15 publications

(10 citation statements)

References 33 publications

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“…The three-dimensional form of Equation (13) is identical to the damage-based implicit gradient-enhanced model [33]; however, they have different interpretations. In addition, the gradient-enhanced models are usually used to introduce an internal length scale into the formulation in order to remove mesh sensitivity in finite element simulations [34][35][36].…”

Section: Phase Field Approximation Of a Crackmentioning

confidence: 96%

“…Otherwise, the viscoplastic return mapping procedure must be considered to correct the predicted values. Equation (33) implies that the yield stress is reduced by the degradation function for a damaged material point. The von Mises yield function is pressure-independent so that the associated flow vector defined by Equation (7) is a function of the deviatoric stress.…”

Section: Integration Algorithmmentioning

confidence: 99%

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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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Section: Phase Field Approximation Of a Crackmentioning

confidence: 96%

Section: Integration Algorithmmentioning

confidence: 99%

A Phase Field Model for Rate-Dependent Ductile Fracture

Badnava¹,

Etemadi

Msekh

2017

Metals

Self Cite

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“…In order to overcome the shortcomings of Miner's rule, lots of researchers have done the works about the nonlinear damage accumulation theories (Badnava et al, 2016;Besson, 2010;Zuo et al, 2015). Manson et al (1966) proposed a double linear damage rule (DLDR) by replacing the linear Miner's rule with a set of two lines converging at a knee point.…”

Section: Introductionmentioning

confidence: 99%

RETRACTED: Reliability analysis of mechanical components based on a nonlinear fatigue damage accumulation model

Song

et al. 2018

International Journal of Damage Mechanics

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The dynamic reliability models of mechanical components with the failure mode of fatigue are mainly based on the linear damage accumulation theory, which is also called the Miner’s rule. But the Miner’s rule has some drawbacks and results in the disagreement between the predicted and experimental value. In this paper, a dynamic reliability model is presented based on a nonlinear fatigue damage accumulation model. First, a modified nonlinear fatigue damage accumulation model based on the Manson–Halford theory is proposed, which considers not only the effect of load sequence but also the influence of load interaction. Some sets of experimental data are used to verify the proposed nonlinear fatigue damage accumulation model under two-stress level loading and multilevel staged loading. The results show that the proposed method has a better agreement between the experimental data and predicted values than the Miner’s rule. Then, based on the modified nonlinear fatigue damage accumulation model, the dynamic reliability model is presented. The data obtained by this dynamic reliability model are compared with Monte Carlo results, and it shows good agreement with Monte Carlo results.

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“…The main aim of the proposed solutions to this problem (the so‐called regularization techniques) is the introduction of an internal length in the continuum model, allowing to recover the nonlocal character of the phenomenon; an interesting overview on the different regularization methods can be found in the papers by de Borst et al and Bažant and Jirásek . Among the different alternatives are nonlocal and gradient‐enhanced models, viscous models, cohesive zone models, methods based on the fracture energy approach , phase‐field models, and the micropolar theory …”

Section: Introductionmentioning

confidence: 99%

Smoothed point interpolation methods for the regularization of material instabilities in scalar damage models

Gori

Penna

Pitangueira

2018

Numerical Meth Engineering

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Summary The nonlocal character embedded in the formulation of smoothed point interpolation methods is exploited, in order to regularize the behavior of the simulations of scalar damage problems affected by strain localization. The use of these methods is made possible by the extension of the weakened weak form that they are based on to the case of elastic‐degrading media, with specific focus on the scalar damage case. The provided numerical simulations emphasize the regularization effects of this class of meshfree methods and the improved mesh objectivity with respect to the standard finite element method. Different strategies for support node selection are considered, pointing out the role played by the size of the support domains regarding the regularization effects.

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An anisotropic gradient damage model based on microplane theory

Cited by 15 publications

References 33 publications

A Phase Field Model for Rate-Dependent Ductile Fracture

A Phase Field Model for Rate-Dependent Ductile Fracture

RETRACTED: Reliability analysis of mechanical components based on a nonlinear fatigue damage accumulation model

Smoothed point interpolation methods for the regularization of material instabilities in scalar damage models

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