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2018 | OriginalPaper | Chapter

4. Mechanism-Based Crack Tip Characterization

Author : Emilio Martínez Pañeda

Published in: Strain Gradient Plasticity-Based Modeling of Damage and Fracture

Publisher: Springer International Publishing

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Abstract

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. 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.

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previous chapter Numerical Implementation

next chapter On Fracture in Finite Strain Gradient Plasticity

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Title: Mechanism-Based Crack Tip Characterization
Author: Emilio Martínez Pañeda
Publisher: Springer International Publishing
Book: Strain Gradient Plasticity-Based Modeling of Damage and Fracture
Print ISBN: 978-3-319-63383-1

Electronic ISBN: 978-3-319-63384-8

Copyright Year: 2018
DOI: https://doi.org/10.1007/978-3-319-63384-8_4

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