Finite element modeling of fibrous composites stress

The monograph discusses computer modeling of the process of physically nonlinear deformation of structural elements made of fibrous materials by the finite element method (FEM). The statement of the problem, the mathematical model and the technology for solving physically nonlinear problems of deforming transversely isotropic materials of complex configuration are given. A method for constructing a finite-element grid of a region of a complex configuration has been created, the mathematical correctness of the solution algorithm has been proved, effective computational algorithms and corresponding software have been developed. For the numerical solution of applied problems of FEM, software has been developed. The influence of the volume content of the fiber and the configuration of the structural holes on the stress-strain state of the structures is investigated. The formation of plastic zones in the vicinity of the stress concentrator was studied. It has been established that the presence of two or more holes, due to their mutual influence, lowers the stress state of the vicinity of the concentrators.