Peridynamics for Laminated Composite Materials

Abstract

Fiber-reinforced laminated composites are generally constructed by bonding unidirectional laminae in a particular sequence. Each lamina has its own material properties and thickness. As shown in Fig. 5.1, the fiber orientation angle, $\theta$, is defined with respect to a reference axis, $x$. Fiber direction is commonly aligned with the ${x_1}-$ axis, and transverse direction is aligned with the ${x_2}-$ axis. A unidirectional lamina is specially orthotropic. Thus, a thin lamina has four independent material constants of elastic modulus in the fiber direction, ${E_{11 }}$, elastic modulus in the transverse direction, ${E_{22 }},$ in-plane shear modulus, ${G_{12 }}$, and in-plane Poisson’s ratio, ${\nu_{12 }}$.