A phenomenological approach for describing the viscoelastic behaviour of orthotropic materials under the plane stress state is suggested. Using the algebra of resolvent operators the analytical expression for a matrix inverse to the matrix of constitutive equations connecting strains and stresses by means of heritable relationships has been obtained. With the help of the inverse matrix including hereditary operators (resolvent of the matrix) the relationships describing the stress state in thin-walled polymeric structures through the history of deformations in the plane stress state have been derived.
SuvorovaJu. V.BulatkinV. V.Creep anisotropy of composite materials (in Russian). J. Mechanics Composite Mater., 1985, (5), 924–927.
11.
FindleyW. N.LaiJ. S.OnaranK.Creep and Relaxation of Nonlinear Viscoelastic Materials, With an Introduction to Linear Viscoelasticity, 1989 (Dover Publications, New York).
