Piezoelectric materials embedded into plates and shells make the structures being capable of sensing and actuation, usually called smart structures, which are frequently used for shape and vibration control, noise control, health monitoring, and energy harvesting. To give a precise prediction of static and dynamic behavior of smart structures, the linear/nonlinear multi-physics coupled modeling technique is of great importance. The article attempts to present the available research on modeling of piezoelectric integrated plates and shells, including (1) through thickness hypotheses for beams, plates, and shells; (2) geometrically nonlinear theories for plates and shells; (3) electroelastic material linear/nonlinear modeling; (4) multi-physics coupled modeling; and (5) modeling of advanced piezo-fiber composite bonded structures.

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Thin-walled profiles are widely used as crash energy absorbers. In this paper thin-walled square aluminum crash boxes under impact load are studied numerically. ABAQUS commercial software is used for simulating the CBes. The simulated model is validated experimentally using a drop tower test. Folding pattern of a CB has a significant effect on the energy absorption of it. In this study the effects of different parameters such as wall thickness and width on the dynamic behavior and folding pattern of the CB under impact load have been investigated.

This paper focuses on the electromechanical modelling and analysis of piezolaminated functionally graded polymer composites reinforced with graphene nanoplatelets considering strong electric field nonlinearities. Non-uniform distribution of reinforcement of graphene nanoplatelets is assumed along the thickness direction in multilayer polymer nanocomposites, whereas uniform dispersion GPLs in each layer is assumed. Modified Halpin-Tsai micromechanics is used to determine the effective Young’s modulus of GPLs considering the effects of geometry and dimension changes. Electro-elastic nonlinear constitutive relations are used to model the piezoelectric layers under strong applied electric fields. Through variational formulation, a finite element is derived to model and analyse the layered GPL/polymer composite structures. Various simulations are performed to study the effects of several parameters like distribution pattern and size of GPLs by applying actuation voltages to piezoelectric layers.