Strain energy density is calculated for a network of flexible chains with weak excluded-volume interactions (whose energy is small compared with thermal energy). Constitutive equations are developed for an incompressible network of chains with segment interactions at finite deformations. These relations are applied to the study of uniaxial and equi-biaxial tension (compression), where the stres...

A mixed-mode I/II fracture criterion for predicting the response of composite materials is proposed. This derived based on a comprehensive study and consideration physics onset. The phenomenon that causes various damage mechanisms at vicinity crack tip examined. It elucidated stress distribution ought to be defined using reinforcement isotropic solid (RIS) state. new criterion, which called Imp...

The correspondence theorem which relates the solutions of displacement boundary value problems in classical and couple stress elasticity is formulated and applied to derive the solutions for edge and screw dislocations in an infinite medium. The effects of couple stresses on the dislocation strain energy is evaluated for both types of dislocations. It is shown that within a radius of influence ...