Nonlinear Plane Strain of Elastic Materials with Voids

Starting with the basic equations of nonlinear theory of elastic materials with voids, we apply the successive approximation method to the plane strain problem. The equations of the first- and second-order theories are derived. The complex variable formulation permits integration along the lines followed in the classical elastostatics. As an example, the solution, through second-order theory, is found for the problem of an unbounded region containing a circular hole.