Peridynamic Simulation To Impact Damage Of Composite Laminate

Discontinuities such as damages and cracks inevitably exist in composite laminates structures.The conventional finite element method, which is formulated on the base of continuum theory, is insome way ill-suited to such problems in that partial derivatives are used to represent relativedisplacement and force between any two neighboring particles. Besides, the locations of thediscontinuity are required to be known previously. The formulation of Peridynamic theory may wellovercome these difficulties.Peridynamic(PD) theory is formulated by means of integral equations, as opposed to partialdifferential equations that include derivatives of displacements in the classical continuum theory.Therefore it is well-suited for any kind of problems concern discontinuities without any assumptions.In this paper, basic framework and numerical algorithm of PD theory are firstly reviewed. Then, aPD model for orthotropic lamina is proposed, and PD damage model for laminate is established. Thecritical stretches of material bonds are determined.Next, PD softwares including PDLAMMPS, C++modeling system and ParaView are brieflyintroduced.Finally, a composite laminate PD model is proposed by introducing two interlayer modulus,interlayer bond constant and shear bond constant. The critical stretches of both bonds are given.Thereafter, some simulations are carried out to verify the effectiveness of the present approach.The first example is about an isotropic and an orthotropic lamina under tension. The second exampleis about an isotropic and an orthotropic laminate under impact. The damage patterns of bothsimulations are discussed and the results demonstrate the effectiveness of PD model for problemsinvolving fracture and damage.