...Lifeng Ma; Yifeng Chen; David A. Hills In this study, the interaction of a parabolic notch with a generalized antiplane singularity is studied, and its analytical solution is derived. The singularity may be either an antiplane concentrated force or a screw dislocation, and separate solutions...

... transforms, a set of ring-load Green’s functions for the axisymmetric equations of equilibrium are derived and shown to be expressible in terms of standard elliptic integrals. With the aid of a rigorous yet highly efficient numerical method, the integral equation is solved for the multi-interval singular...

... phenomena internal stresses Poisson ratio shear modulus layered elliptical inhomogeneity uniform stress field arbitrary shaped inhomogeneity singularity analytic continuation It has been found that the stress field inside an N -phase elliptical inhomogeneity is uniform when...

... of cylindrical nanoindentation are presented. It is shown that the bending moment and the shear force in the graphene sheets are concentrated around the edge of contact, consistent with the singularities existing in the second and the third derivatives of the surface displacement in the reduced case of a semi...

...Seung Tae Choi Singularities interacting with a coated circular inhomogeneity are analyzed with the method of analytic continuation and the Schwarz–Neumann’s alternating technique. It is shown that the solution for singularities in a homogeneous medium can be used as a building block...