A mathematical modeling method to stress analysis of polymer adhesive layer

Polymers are most important engineering materials whose mechanical characteristics in applications are heavily concerned about and studied by engineers and scientists mainly with experiment method in recent years. But commonly satisfactory solutions to the problems have not been found up to now. The present study gives a mathematical modeling method to these problems, yielding more reasonable results that can satisfy the boundary conditions better. This paper presents theoretical derivations first to establish a mathematical model. Then the model is used to an adhesive joint domain where some anisotropy and isotropic materials are connected by polymer adhesives, leading to formulas that can be used to compute stresses in the adhesive layers of joints or composites which have found wide applications in engineering. A computer program is designed in this research to carry out the computation procedure and to give the results on screen. There is a numerical example at the end of this article to show the calculated stress results by the method presented in this paper.