Theory of repeated superposition of large deformations: Elastic and viscoelastic bodies

The basic constitutive relations and boundary-value problems of the theory of repeatedly superimposed large deformations of elastic and viscoelastic materials are presented. We then concentrate on the two-dimensional problems of nucleation and deformation of circular or elliptical holes in the finite strain lbrmulation. The cases are examined when cavity shape is known either initially or in the final state, or (for a viscoelastic material) at some intermediate moment. The correction for nonlinear effects is found to of the order of 30% at the points of maximal stress concentration. ~: 1998 Elsevier Science Ltd. All rights reserved.