Antiplane shear analysis of a semi-infinite multi-layered monoclinic strip

Elasticity solutions for a semi-infinite multi-layered monoclinic strip subject to antiplane shear deformation are presented. The solutions are obtained by the method of eigenfunction expansion in conjunction with Betti's reciprocity theorem. In particular, a compact closed-form solution for a two-layered strip loaded by a uniform shear stress at the end is obtained. The solution for the two-layered strip shows that at the interface the traction possesses a logarithmic singularity at the loaded end.