Analysis of antiplane elastic field in nonhomogeneous material wedge structure

Abstract

The antiplane problem of an elastic wedge in nonhomogeneous material is studied. The shear modulus is taken as a continuous function of the radial coordinate. After applying Mellin transform, the singularity orders, the stresses and the displacements are obtained in explicit forms for three different boundary conditions (traction‐traction, displacement‐displacement, traction‐displacement). The effects of the nonhomogeneous parameter and the wedge angle on the stress singularities have been discussed in detail. The results of degenerative problems also compare well with previous studies.

Key words:

• antiplane
• nonhomogeneous material
• wedge
• stress singularity

Notes

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