Mathematical modeling and numerical analysis of reinforced composite beams

Abstract

Abstract This paper is devoted to modeling the properties of composite materials and reinforced composite beams. Mathematical relations describing the nonlinear elastic three-point bending of isotropic and reinforced beams with account of different strength and stiffness behavior in tension and compression are obtained. An algorithm for numerical solution of corresponding boundary-value problems is proposed and implemented. Results of numerical analysis were compared to acquired data for polymer matrix and structural carbon fiber reinforced plastics.