An arbitrarily oriented, rigid, elliptic inclusion in a finite anisotropic medium

This analysis presents an effective method of addressing rigid inclusion problems in an anisotropic medium with finite boundaries. For an arbitrarily oriented, rigid, elliptic inclusion, a solution is obtained by using the modified mapping collocation method. Within the two-dimensional theory of elasticity, this method provides nearly exact solutions for the stress and displacement fields and for the rigid-body translation and rotation concerning rigid, elliptic inclusions in an anisotropic medium. The effectiveness of the method is demonstrated through several examples and their comparison with other solution methods. The validity and accuracy of the solutions are established by comparing the results from this analysis with those obtained analytically and by other numerical techniques.