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Mechanism-Based Crack Tip Characterization

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Strain Gradient Plasticity-Based Modeling of Damage and Fracture

Part of the book series: Springer Theses ((Springer Theses))

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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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Authors and Affiliations

  1. Department of Construction and Manufacturing Engineering, University of Oviedo, Gijón, Spain

    Emilio Martínez Pañeda

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  1. Emilio Martínez Pañeda
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Correspondence to Emilio Martínez Pañeda .

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Martínez Pañeda, E. (2018). Mechanism-Based Crack Tip Characterization. In: Strain Gradient Plasticity-Based Modeling of Damage and Fracture. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-63384-8_4

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  • DOI: https://doi.org/10.1007/978-3-319-63384-8_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-63383-1

  • Online ISBN: 978-3-319-63384-8

  • eBook Packages: EngineeringEngineering (R0)

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