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Erschienen in:

2018 | OriginalPaper | Buchkapitel

3. Numerical Implementation

verfasst von : Emilio Martínez Pañeda

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

Verlag: Springer International Publishing

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Abstract

While solving analytically (or semi-analytically) simple problems, such as pure bending or shear of an infinite layer, has been particularly useful to compare and benchmark SGP theories, quantitative assessment of gradient effects in engineering applications requires the use of numerical methods. A wide range of ad hoc numerical solutions have been proposed for each gradient plasticity model, ranging from the relatively easy to implement lower order theories to the more complicated gradient plasticity formulations falling within the mathematical framework of Cosserat-Koiter-Mindlin theories of higher order elasticity. Verification of each numerical implementation is performed by solving different boundary value problems and comparing the output with numerical results from other authors.

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Vorheriges Kapitel Gradient Plasticity Formulations

Nächstes Kapitel Mechanism-Based Crack Tip Characterization

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Titel: Numerical Implementation
verfasst von: Emilio Martínez Pañeda
Verlag: Springer International Publishing
Buch: Strain Gradient Plasticity-Based Modeling of Damage and Fracture
Print ISBN: 978-3-319-63383-1

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

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-319-63384-8_3

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