A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials

This article has been made available through the Brunel Open Access Publishing Fund.A new multiscale finite element formulation is presented for nonlinear dynamic analysis of heterogeneous structures. The proposed multiscale approach utilizes the hysteretic finite element method to model the microstructure. Using the proposed computational scheme, the micro-basis functions, that are used to map the microdisplacement components to the coarse mesh, are only evaluated once and remain constant throughout the analysis procedure. This is accomplished by treating inelasticity at the micro-elemental level through properly defined hysteretic evolution equations. Two types of imposed boundary conditions are considered for the derivation of the multiscale basis functions, namely the linear and periodic boundary conditions. The validity of the proposed formulation as well as its computational efficiency are verified through illustrative numerical experiments

The Microscopic Origin of Residual Stress for Flat Self-Actuating Piezoelectric Cantilevers

In this study, flat piezoelectric microcantilevers were fabricated under low-stress Pb(Zr0.52Ti0.48)O3 (PZT) film conditions. They were analyzed using the Raman spectrum and wafer curvature methods. Based on the residual stress analysis, we found that a thickness of 1 μm was critical, since stress relaxation starts to occur at greater thicknesses, due to surface roughening. The (111) preferred orientation started to decrease when the film thickness was greater than 1 μm. The d33 value was closely related to the stress relaxation associated with the preferred orientation changes. We examined the harmonic response at different PZT cantilever lengths and obtained a 9.4-μm tip displacement at 3 Vp-p at 1 kHz. These analyses can provide a platform for the reliable operation of piezoelectric microdevices, potentially nanodevice when one needs to have simultaneous control of the residual stress and the piezoelectric properties

MATLAB-Based educational tool for failure analysis of composite laminates

An educational software has been developed for stress analysis of laminated composites. The software can be used to study both micro- and macro-mechanics analysis of a lamina as well as a laminate. The software can also be used for the failure analysis of laminates, and hence can be useful for the design of composite laminates for given loading conditions. Apart from mechanical loading, the software can also handle hygrothermal loading. Four different failure theories have been used to predict the failure of any given laminate. Graphical user interface (GUI) based on MATLAB language was used to develop this software, thus, making it more user-friendly. Numerous case studies were carried out and validated against the existing literature