Modeling elasto-plastic indentation on layered materials using the equivalent inclusion method

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:47

Article

Chen, W. Wayne¹  Zhou, Kun¹  Keer, Leon M.¹  Wang, Q. Jane¹ 

[1] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA

关键词: Elasto-plastic;    Layer;    Contact;    Equivalent inclusion method;   

DOI  :  10.1016/j.ijsolstr.2010.06.011

来源: Elsevier

【 摘 要 】

This paper develops a fast semi-analytical model for solving the three-dimensional elasto-plastic contact problems involving layered materials using the Equivalent Inclusion Method (EIM). The analytical elastic solutions of a half-space subjected to a unit surface pressure and a unit subsurface eigenstrain are employed in this model; the topmost layer is simulated by an equivalent inclusion with fictitious eigenstrain. Accumulative plastic deformation is determined by a procedure involving an iterative plasticity loop and an incremental loading process. Algorithms of the fast Fourier transform (FFT) and the Conjugate Gradient Method (CGM) are utilized to improve the computation efficiency. An analytical elastic solution of layered body contact (O'Sullivan and King, 1988) and an indentation experiment result involving a layered substrate (Michler et al., 1999) are used to examine the accuracy of this model. Comparisons between numerical results from the present model and a commercial FEM software (Abaqus) are also presented. Case studies of a rigid ball loaded against a layered elasto-plastic half-space are conducted to explore the effects of the modulus, yield strength, and thickness of the coating on the hardness, stiffness, and plastic deformation of the composite body. (C) 2010 Elsevier Ltd. All rights reserved.

【 授权许可】

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