Effective Properties of Composite Materials Strengthened by Orthotropic Fibers with Regard for the Physical Nonlinearity of the Components

UDC 539.3 A model of deformation of composite materials with physically nonlinear components is generalized to the case of materials in the form of a matrix reinforced by unidirectional infinite fibers. It is assumed that the matrix is isotropic and deforms nonlinearly and that the fibers are linearly elastic and have orthotropic symmetry. As initial equations, we use the stochastic differential equations of the physically nonlinear theory of...