Mechanical Behavior of Fiber Reinforced Polymer Matrix Composites

Abstract

The mechanics of fiber-reinforced viscoelastic matrix composite is a hot research field, there are many research methods, but the application of symplectic system method in this field is still a new research topic. In this paper, the symplectic system method is used to study the mechanical problems of fiber- reinforced polymer matrix composites. According to the integral transformation and variational principle, the dual equation with mixed variables as basic variables is established, the eigenvalues and corresponding eigensolutions are derived, the symplectic orthogonal normalization relationship between eigensolutions and the eigensolution description method of boundary conditions and interface continuity conditions based on this are studied Through numerical calculation, the mechanical behaviors of fiber-reinforced polymer matrix composites are analyzed, such as stress-strain distribution law, stress transfer law, forming a symplectic system method to solve the mechanical problems of fiber-reinforced polymer matrix composites, which provides a feasible new research idea for this field.