| Citation: | YAN Dengdeng, LI Chenggang, SHEN Jingjin, et al. Study on contact problem of anisotropic elastic body based on Eshelby-Stroh formalism[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(6): 1273-1282. doi: 10.13700/j.bh.1001-5965.2017.0400(in Chinese)
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In order to solve infinitesimal deformation contact problem of a linear anisotropic elastic body, the elastic body is divided into several parts, according to the contact condition between the rigid body and the indenter. Based on Eshelby-Stroh formalism, the displacement function and stress function of each part are solved, and the load is obtained by integrating the stress function. Considering the stress mutation at junction and nonzero stress on the top of noncontact region, both whole displacement constraint method and linear superposition principle are used for getting ideal displacement function and stress function based on iteration. The contact problem between the cylindrical indenter and bounded elastic body and the contact problem between the rounded wedge indenter and elastic body are solved. The load results based on cylinder indenter are close to the results of elastic half space method. When the quantity of series is 400, the computing relative error is only 0.52%. The computed load results based on cylindrical indenter and rounded wedge indenter agree well with those of ABAQUS simulation. The relative error of cylindrical indenter load is 0.67%, and 6 rounded wedge indenters are computed with all the relative errors of load less than 2%.
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