关键词: parabolic hemivariational inequalities, multivalued mappings, existence results

Abstract: A general solutions for the stress and displacement of curve cracks distributingalong a parabolic curve Ω in an infinite homogeneous anisotropic medium subjected tounifrom loading a infinity have been given in this paper by using the Stroh’s formalism and the mapping method. The solutions are valid not only for plane problems but also for antiplane problems and the problems whose inplane andantiplane deformations couple each other. A closed form solution for the stress and dispacement in the entire domain is obtained for one curve crack or two curve cracks along the parabolic curve. The simple explicit form solution for the stress intensity factors and the crack opening displacement are presented.

Key words: parabolic hemivariational inequalities, multivalued mappings, existence results