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Modeling damage and fracture within strain-gradient plasticity

Accepted version
Peer-reviewed

Type

Article

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Authors

Martínez-Pañeda, Emilio  ORCID logo  https://orcid.org/0000-0002-1562-097X
Betegón, C 

Abstract

In this work, the influence of the plastic size effect on the fracture process of metallic materials is numerically analyzed using the strain-gradient plasticity (SGP) theory established from the Taylor dislocation model. Since large deformations generally occur in the vicinity of a crack, the numerical framework of the chosen SGP theory is developed for allowing large strains and rotations. The material model is implemented in a commercial finite element (FE) code by a user subroutine, and crack-tip fields are evaluated thoroughly for both infinitesimal and finite deformation theories by a boundary-layer formulation. An extensive parametric study is conducted and differences in the stress distributions ahead of the crack tip, as compared with conventional plasticity, are quantified. As a consequence of the strain-gradient contribution to the work hardening of the material, FE results show a significant increase in the magnitude and the extent of the differences between the stress fields of SGP and conventional plasticity theories when finite strains are considered. Since the distance from the crack tip at which the strain gradient significantly alters the stress field could be one order of magnitude higher when large strains are considered, results reveal that the plastic size effect could have important implications in the modelization of several damage mechanisms where its influence has not yet been considered in the literature.

Description

Keywords

Strain-gradient plasticity, Taylor dislocation model, Material length scale, Crack-tip fields, Finite element analysis

Journal Title

International Journal of Solids and Structures

Conference Name

Journal ISSN

0020-7683
1879-2146

Volume Title

59

Publisher

Elsevier BV