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Title: A numerical elastic – plastic contact model for a half-space with inhomogeneous inclusions and cracks
Authors: Yang, Jing
Wang, Xu
Zhou, Kun
Keywords: Engineering::Mechanical engineering
Issue Date: 2019
Source: Yang, J., Wang, X., & Zhou, K. (2019). A numerical elastic – plastic contact model for a half-space with inhomogeneous inclusions and cracks. Acta Mechanica, 230(6), 2233-2247. doi:10.1007/s00707-019-02390-2
Journal: Acta Mechanica
Abstract: The elastic–plastic contact problem plays an important role in predicting the mechanical properties of materials. In this paper, a semi-analytic solution is developed to investigate the plastic behaviors of a half-space with inhomogeneous inclusions and cracks under contact loading. In this solution, the plastic zones are determined based on the stress field equations and the von Mises yield criterion. The contact area and surface pressure distribution are obtained by solving a set of governing equations via a modified conjugate gradient method. The inhomogeneous inclusions are modeled as homogeneous inclusions with the initial eigenstrains plus unknown equivalent eigenstrains according to the Eshelby’s equivalent inclusion method. The cracks are treated as a collection of distributions of unknown dislocation densities according to the distributed dislocation technique. The case studies of a cylinder loaded against a half-space with inhomogeneous inclusions and vertical or horizontal cracks are conducted to explore the effects of the Young’s moduli and positions of the inhomogeneous inclusions on the plastic behavior of materials.
ISSN: 0001-5970
DOI: 10.1007/s00707-019-02390-2
Rights: © 2019 Springer-Verlag GmbH Austria, part of Springer Nature. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:MAE Journal Articles

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