A Cross Integration for von-Mises Plasticity Along with Nonlinear Isotropic Hardening and Lemaitre Damage Model

Tavoosi, Maliheh; Sharifian, Mehrzad; Sharifian, Mehrdad

doi:10.1007/s40997-020-00404-2

Cited by 2 publications

(2 citation statements)

References 26 publications

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“…Elastoplastic analyses have a complicated nature because the stress is normally a function of the history of strain. Due to the complication of equations, closed-form solutions are not valid to the plurality of these problems, and therefore, numerical methods are usually used for solving the problem [1].…”

Section: Introductionmentioning

confidence: 99%

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Damage Prediction and Evolution using Uncoupled Elastoplastic-Damage Lemaitre’s and Vaz’s Models

El-Shourbagy

Attia

El-Shafei

2021

The Egyptian International Journal of Engineering Sciences and

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This paper presents the two uncoupled elastoplastic-damage models; uncoupled Lemaitre's and Vaz's damage models. The two models are implemented into the finite element ABAQUS software using user routine UMAT to analyze and predict damage and damage evolution. In the context of von-Mises yield criteria, the damage variable and fracture indicator are predicted, in addition to the von-Mises stress and the effective plastic strain. Both the elastoplastic tangent operator and the return mapping procedure are formulated using the consistent formulation. Two cases are analyzed; the first one is an axisymmetric notched bar, while the second case is a plane strain doubled notched plate. In addition to the aforementioned predictions, a parametric study is carried out to explore the effect of the damage denominator and damage exponent on the damage behavior. It is concluded that the two models succeeded in the prediction of the point of fracture, while the uncoupled Lemaitre's damage model gives a more efficient description of the damage band.

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Section: Introductionmentioning

confidence: 99%

“…The implicit integration scheme is one of the important techniques in which the stress and the plastic variables are updated at the end of the load step. Generally, nonlinear equations in implicit methods should be solved using an iterative process like Newton-Raphson [1].…”

Section: Introductionmentioning

confidence: 99%