Transient response of dissimilar piezoelectric layers with multiple interacting interface cracks

In this study, we examine the dynamic behavior of two bonded dissimilar piezoelectric layers containing multiple interfacial cracks subjected to electro-mechanical impact loading. The problem was formulated through Fourier transformation into singular integral equations in which the unknown variables are the jumps of displacement and electric potential across the crack surface in the Laplace transform domain. The resulting integral equations together with the corresponding single-valued conditions are solved numerically for the densities of electro-elastic dislocations on a crack surface. The dynamic field intensity factors and dynamic energy release rate (DERR) history are obtained for both permeable and impermeable crack. The stress field is also obtained for the interface crack under impact loads. The results show that the field intensity factors at the crack tips and dynamic energy release rate depend on the interfacial crack geometry, electromechanical coupling and the electric boundary conditions on the crack surface.     

Dynamic electromechanical behavior of a triple-layer piezoelectric composite cylinder with imperfect interfaces

The dynamic electromechanical behavior of a triple-layer piezoelectric composite cylinder with imperfect interfaces is investigated. The composite cylinder is constructed by two elastic layers and an embedded piezoelectric layer. A linear spring model is adopted to describe the weakness of imperfect interface. The exact analysis is performed by the state space method and normal mode expansion method. The determining procedure for the eigenfunction and the proof of the orthogonal property of the eigenfunction is presented for an imperfectly bonded triple-layer piezoelectric composite cylinder. The obtained solution is valid for analyzing the dynamic electromechanical behavior of composite cylinder with arbitrary thickness for both elastic and piezoelectric layers. Numerical results show that the weakness of imperfect interface has significant effect on the transient electromechanical responses of piezoelectric composite cylinder.     

Simulation and experimental validation of the dynamic behavior of an electromechanically actuated multiple‐disk clutch

Automated multiple‐disk clutches in automotive drivelines are at present hydraulically or electrohydraulically actuated. The electromechanical clutch actuation represents an alternative. The subject of the investigation is a functional model of an electromechanical clutch actuator which consists of a servo motor, a reduction gear and a mechanism for the realization of the force acting on the disks. For the simulation of the dynamic behavior of the electromechanically actuated multiple‐disk clutch a detailed multibody model is developed which includes models of the electromechanical actuator and the wet multiple‐disk clutch. The multiple‐disk clutch is described by coupled partial models for the rotational and translational dynamics. The coupling parameters are the relative disk distances and the forces between the disks. The results of test bench measurements are compared to simulation results. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

压电弯曲元的夹层梁解析模型

压电弯曲元是一类传感和作动器件,已得到广泛的应用．基于一阶剪切变形理论发展了压电弯曲元夹层梁解析模型,对梁截面采用统一转角并将耦合电势沿厚度的分布假设为二次函数,进一步修正了横向剪应变对电位移的影响．以弯曲元简支梁自由振动为例进行数值分析,解析模型解与二维精确解相比具有良好的精度,为分析弯曲元动力机电响应提供了良好的解析模型．     

A micromechanically motivated model for ferroelectrics combined with polygonal finite elements

Piezoelectric materials are one of the most prominent smart materials due to their strong electromechanical coupling behaviour. Ferroelectric ceramics behave like piezoelectric materials under low electrical and mechanical loads, but exhibit pronounced nonlinear response at higher loads due to microscopic domain switching. Modern smart devices consist of complex geometries that may force the ferroelectrics employed within them to experience higher fields than they were originally designed for, so that the material responds within its nonlinear region. Hence, models predicting the nonlinear effects of ferroelectrics under complex loading cases are important from the design point of view. Within standard finite element models dealing with electromechanical problems, each grain may be subdiscretized by several finite elements. This problem can be approximated or rather overcome by a polygonal finite element method, where each grain is modelled by solely one single finite element. In this contribution, a micromechanically motivated switching model for ferroelectric ceramics, as based on volume fraction concepts, is combined with polygonal finite element approach. Related representative numerical examples allow to further study and understand the nonlinear response of this material under complex loading cases. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Semi-analytic actuating and sensing in regular and irregular MEMs,single and assembled micro cantilevers

The static and dynamic behavior of regular and irregular single and assembled micro cantilever probes (ACPs) have been analysed. Various points and distributed loadings are considered. Since the applications of Micro Electro Mechanical Systems (MEMS) are not limited to an especial boundary condition, two semi-analytical approaches, named the generalized differential quadrature and generalized differential quadrature element methods (GDQM and GDQEM) have been used for regular and irregular MEMS, respectively. With less computational cost, it has been clearly demonstrated that these methods are more accurate than common numerical methods such as the Finite Element Method (FEM). For probable cases, proposed approaches have been validated with the exact Green’s function method. Then, considering the various composite lamination configurations (angle/cross), the effects of the electromechanical loading on the nano steering devices have been introduced. At the end, the solution challenges for scanning (sensing) the especial micro and nano profiles has been discussed and as a general case, a nano gear has been studied. The phase plane approach shows the probability of solution for various configurations and suggests the best for more stability.     

Fracture toughness investigations of ferroelectric materials considering effects on macro- and micro-scale

In the present work we study toughness variation of ferroelectric materials (PZT-5H) considering different scales for different poling and loading conditions. On the macro-scale we apply an extended theory of stresses at interfaces in dielectric solids. Further, on the micro-scale, nonlinear effects are introduced by applying the small scale switching approximation. The analysis is done considering the full anisotropy and electromechanical coupling of the material. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Simulation of nonlinear properties of ferroelectric and piezoceramicmaterials

Ferroelectric and piezoelectric materials are becoming a very significant part of smart materials that are used widely as actuators, sensors and most common applications such as vibration control, precision positioning, precision cutting and microelectromechanical systems (MEMS). Piezoceramic materials show nonlinear characteristics when they are under high electromechanical loading. In this study, nonlinear behaviour of tetragonal perovskite type piezoceramic materials is simulated using micromechanical model. In the simulations uni‐axial loading is applied. The calculations which are based on a linear constitutive model, nonlinear domain switching model and a model of probability to switch are performed at each grain. The different domain switching effects (900 or 1800 domain switching for tetragonal perovskite structure) due to energy differences, different probability functions, different statistical random generators and material parameters are analyzed. Finally, simulation results are compared with the data of experiments are giving in literature. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Laminate-based modelling of microstructure and switching in ferroelectrics

The purpose of the work is the thermodynamics-based modelling of the polarisation and the deformation microstructure in the ferroelectric single crystal with the help of a laminate-based approach. The incremental variational-based rate-dependent macroscopic model for dissipative ferroelectric material [1] and the laminate-based microscopic model [2] established in the literature are taken as basis and shall be further extended to a single crystal laminate structure dependent on the loading frequency based on the coupled electromechanical framework taking the effect of polarisation into account. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)