ABSTRACT

A new generation of engineering materials with predefined mechanical characteristics has shown to be the source for the scientific and technological development of the modern society. For example, the use of multifunctional composites offers great potential for the development of novel adaptive and morphing structures, structural components for extreme environments, energy harvesting and harnessing devices, actuators, sensors, and many other applications. Each of the above applications would subject multifunctional composites to complex mechanical loadings coupled with other nonmechanical effects, such as temperature changes and applied electric fields. Depending on the severity of prescribed external stimuli, the mechanical and physical properties of the multifunctional composites would vary with the prescribed external stimuli, leading to nonlinear response; they would also vary with time and frequencies, termed as time-dependent properties. It is then necessary to understand, predict, and model the properties of

CONTENTS

7.1 Introduction ................................................................................................ 213 7.2 Linear Thermo-Electro-Elastic Analysis of Homogeneous Beams .... 215

7.2.1 Thermoelastic Analysis of the Euler-Bernoulli Beams ............ 215 7.2.2 Piezoelastic Analysis of the Euler-Bernoulli Beams ................ 220

7.3 Linear Thermo-Electro-Elastic Analysis of a Layered Composite Beam ............................................................................................................223