Contact Problem Of Fiber-matrix In Composites
Free (open access)
Prochazka, P. & Valek, M.
This paper deals with contact problem describing the mechanical behavior of the interface between fibres and matrix in composite materials. The interface is considered to be "infinitely" thin and is characterized by conti- nuity of interfacial tractions and by possible jumps in displacements. The physical behaviour of the interface is non-convex. The penetration of fiber into matrix is not allowed. Such an interfacial zone may have been created either by coating the fibers or it may have developed during the manu- facturing process due to chemical reactions between the contacting fiber and matrix materials. In this contribution we start with a definition of the model describing the transfer of elastic stresses from the matrix to the fiber. Then, the contact problem is formulated in a manner leading to a very fast Uzawa's algor