FINITE DEFORMATIONS OF INCOMPRESSIBLE SIMPLE SOLIDS .2. TRANSVERSELY ISOTROPIC SOLIDS

Four families of inhomogeneous finite deformations are known to be controllable for homogeneous, transversely isotropic, elastic solids, i.e., to be possible in every such material in the absence of body forces. These deformations are shown to be controllable also for homogeneous, transversely isotropic, simple solids. The corresponding stresses are expressed in terms of material functionals which characterize the response to homogeneous plane deformations, whose fundamental plane contains, or is normal to, the symmetry direction of the material. © 1968 Oxford University Press.