Finite Bending, Stretching, and Shearing of a Block of Orthotropic, Incompressible Simple Solid

Abstract

It is shown that a finite deformation history, involving bending, stretching, and shearing, can be supported in every incompressible orthotropic simple solid by the application of suitable surface tractions, if the bending axis is along a material symmetry direction. The corresponding stresses are expressed in terms of the material functionals which characterize the response to homogeneous plane deformations, and these material functionals are calculated explicitly in terms of the constitutive functionals of the material. The surface tractions which are required in order to effect bending and stretching of a rectangular block are also calculated.