An analytical model based on the principle of minimum potential energy
is developed and applied to determine the two-dimensional thermoelast
ic stress state in cross-ply composite laminates containing multiple e
qually spaced transverse cracks in the 90 degrees plies and subjected
to tensile loading in the longitudinal direction. The model provides f
ull field solution for displacements and stresses including the residu
al thermal stresses which in turn are used to calculate the strain ene
rgy release rate associated with various failure modes. The strain ene
rgy release rate criterion has been employed to evaluate the critical
applied stresses for two of the possible fracture modes; self-similar
extension of a pre-existing flaw and the formation of a new parallel c
rack. The computed results indicate that formation of new cracks never
takes place until pre-existing cracks extend through the entire thick
ness of the 90 degrees plies. The predicted results of transverse crac
k density are in good agreement with the available experimental data.