Based on the Talreja's damage model with tensor valued internal state variables for composites, the constitutive relations with damage of the plane stress problems for the uni-ply plate were derived.

Based on the Talreja’s damage model with tensor valued internal state variables, the constitutive relations for the plane stress problems of composite uni-ply plates with damage are derived.

A note on the accurate expression of strain tensor;

The influences of deformation and Poisson ratio on the volume ratio under different strain tensor descriptions are studied.

The expressions of the Lagrangian-Green strain tensor and the Eulerian strain tensor and their work-conjugate stress tensors,namely,the second Piola-Kirchhoff stress tensor and Cauchy stress tensor,are derived for the beam under axial uniformly tension,and the constitutive relations of these two pairs of work-conjugate stress and strain measures are also presented.

Therefore, on the basis of tensor transformation and finite volume method, we developed a numerical calculating method to solve the 3D water coning problem.

By means of alternating trans formation tensors,the formula of the fundamental Φrform of surface with generalized IIisometry is obtained.