Differential derivation of momentum and energy equations in electroelasticity  

作　　者：Jiashi Yang 

机构地区：[1]Piezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo,Zhejiang 315211, China [2]Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588-0526,USA

出　　处：《Acta Mechanica Solida Sinica》2017年第1期21-26,共6页固体力学学报（英文版）

基　　金：supported by the Y.K.Pao Visiting Professorship at Ningbo University;the K.C.Wong Magana Fund through Ningbo University

摘　　要：This paper presents a derivation of the equations of linear momentum, angular momentum, and energy of an electroelastic body using a composite particle consisting of two differential elements based on Tiersten＇s two-continuum model. The differential derivation shows the physics involved in a way different from the integral approach in the literature. Like the integral approach, it also produces the expressions of the electric body force, couple, and power which are fundamental to the development of the nonlinear macroscopic theory of an electroelastic body.This paper presents a derivation of the equations of linear momentum, angular momentum, and energy of an electroelastic body using a composite particle consisting of two differential elements based on Tiersten＇s two-continuum model. The differential derivation shows the physics involved in a way different from the integral approach in the literature. Like the integral approach, it also produces the expressions of the electric body force, couple, and power which are fundamental to the development of the nonlinear macroscopic theory of an electroelastic body.

关 键 词：NONLINEAR ELECTROELASTICITY PIEZOELECTRICITY MOMENTUM energy 

分 类 号：O411[理学—理论物理]