Analysis of elastomeric composites based on fiber-reinforced systems. 2. Unidirectional composites

Abstract

Based on the calculation method [1], the deformation (elastic) properties of unidirectional elastomeric composites are analyzed in the region of nonlinear deformation (under large deformations). The method is based on the structural macroscopic theory for composite media [2], which takes into account the changes in the metrics of the matrix and fibers in a deformable medium of composite materials. The composites considered have poorly compressible (rubberlike) and compressible matrices with a tetragonal (square) stacking of fibers. The cross sections of the fibers in the initial (nondeformed) state of the composites are assumed to be round. The transverse tension and longitudinal shear of the composites are studied at different compressibility of the elastomeric material of the matrix. Results of the micro-and macromechanical analysis of the composites are given. The behavior of composites with low-and high-modulus fibers in tension and shear is examined in relation to the orientation of fibers with respect to the field of loading macroscopic stress. The quantities used are designated as in [1], except for those describing the reinforcing fibers and matrix. Since the composites considered have only one reinforcing system, the quantities referring to fibers are marked by an "f~ instead of "1, ~ while those characterizing the matrix are marked by an "m ~ instead of "M. ~ Coordinate indices of components of the vector and tensor quantities relative to the Cartesian coordinates are enclosed in parentheses as being physical components.

Calculation and experimental study of a unidirectional rubber-cord composite in tension and compression

“…The tension and compression tests of the rubber-cord composite in the direction transverse to the stacking of cord threads are duplicated by calculations according to a procedure based on the structural macroscopic theory of composite materials [1,2].…”