Elastoplastic near field solution for mode II crack loaded by remote shear stress in an infinite plate

► The solutions of an infinite plate containing a plane stress crack subjected to far field shear stress are obtained. ► The solution includes the unit normal vector, the elastic-plastic stress fields and the law of the plastic zone. ► The present results are compared with solutions from the minimum strain energy density theory. ► It is shown that the previous solutions from the Westergaard method is used as the elastic stress fields, are inappropriate.