Finite Element Analysis Of Dynamic Response And Fracture Of Multiferroic Composites

Multiferroic composites defined as composite materials that exhibit more than one primary ferroic order parameter simultaneously, which also present strong multi-physics coupling effect. As composites, the integral form and interfaces between different components can largely influence the magnetoelectric coupling effect (ME coupling effect) of multiferroic composites. In this paper, we study the problems of finite element modeling, interface fracture, frequency response and dynamic response of multiferroic composites.Firstly, in order to study the ME coupling effect of multiferroic composites and the influence of the interface, a finite element analytical model is constructed and a cohesive zone model is employed to simulate the interface effect between magnetic and electric phases. Since constitutive relations of piezomagnetic material and piezoelectric material are similar, we use the piezoelectric module to simulate piezomagnetic module. Then, a finite element model which can solve multi-field coupling problems of multiferroic composites is set up.Secondly, the interfacial fracture problem is analyzed in this paper when both the interface characteristic parameters and ME coupling effect are taken into account. In order to improve the convergence of computing, interface viscosity coefficient is introduced in the Cohesive Zone Model.Finally, we analyze the influence of interfacial stiffness to nature frequency, frequency response and the dynamic ME coupling responses of multiferroic composites. Boundary conditions are considered as well as different forms of dynamic loads in order to find their influence to dynamic ME coupling effect.The result shows that:1) the introduction of small interface viscosity coefficient can benefit the convergence of computation when the calculation accuracy is guaranteed.2) Increasing the interfacial cohesive energy and the interfacial fracture stress can improve the ability of interfacial damage-resistant.3) The interfacial stiffness can considerably affect the frequency response and the dynamic ME coupling effect of the composites. A strong interface is beneficial to induce high frequency response and ME coupling effect.4) Boundary conditions can also affect the dynamic ME coupling effect of the material. The results and methods in this paper are useful in structural designing of multiferroic composites.