Open AccessA Contact Model of Heterogeneous Material by Method of Images
Author(s) -
Jianglin Li,
Nan Chen,
Pu Li,
Xiaoqing Jin
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2002/1/012027
Subject(s) - contact mechanics , contact area , fast fourier transform , elastic modulus , materials science , fourier transform , padding , parametric statistics , nonlinear system , field (mathematics) , computer science , mechanics , mathematical analysis , structural engineering , algorithm , mathematics , physics , composite material , finite element method , engineering , statistics , quantum mechanics , pure mathematics
Contact analyses of heterogeneous materials may find crucial applications in many tribological studies. However, the simulations of such analyses may be difficult to be implemented since the nonlinear behaviors caused by the material heterogeneity and contact may be more complicated. Based on Eshelby’s equivalent inclusion method (EIM), an arbitrarily shaped inhomogeneity interacting with a contact load may be evaluated by an equivalent inclusion model with a contact load, where the influences of the boundary surface are taken into account through the method of images. In order to improve the computational efficiency, a two-dimensional fast Fourier transform based algorithms (2D-FFT) with zero padding and wrap-around order are employed to solve the contact problem. To benchmark the present solutions, an elastic half-space containing inhomogeneities under Hertzian-type contact load is considered, and parametric studies are further performed to demonstrate the effects of elastic modulus and depth on the stress field.