Gurtin-Type Region-Wise Variational Principles for Thermopiezoelectric Elastodynamics
-
摘要: 建立有关压电热弹性动力学的各种Gurtin型分区变分原理,由此变分原理可以得到压电热弹性动力学所有方程式、关系式和边界条件,并且可以直接得到各相邻区域交界面上的连续条件。Gurtin型分区变分原理是压电热弹性动力学的重要组成部分,并能反映压电热弹性动力学初值-边值问题的全部特征。Abstract: The variation of new Gurtin-type region-wise variational principles results in continuous conditions,boundary conditions,all equations and relations in linear thermo piezoelectric elastodynamics.Gurtin-type region-wise variational principles comprise very important parts of linear thermo piezoelectric elastodynamics,and can fully characterize the initial-boundary-value problem in linear thermopiezoelectric elastodynamics.
-
[1] Eringen A C,Suhubi E S.Elastodynamics[M].New York: Academic Press,1975. [2] Ignaczak J.A completeness problem for stress equations of motion in the linear elasticity theory[J].Arch Mech Stosowanej,1963,15(9):956-964. [3] Gurtin M E.Variational principles for linear elastodynamics[J].Arch Rational Mach Anal,1964,16(1):34-50. [4] Nowacki W. Some general theorems of thermopiezoelectricity[J].J Thermal Stress,1978,1(2):171-182. [5] Nowacki W.Thermoelasticity[M].2nd Ed.Oxford: Pergamon Press, 1986. [6] Chandrasekharaiah D S. A generalized linear thermoelasticity theory for piezoelectric media[J].Acta Mechanica,1988,71(1):39-49. [7] Iesan D. On some theorems in thermopiezoeletricity[J].J Thermal Stress,1989,12(2):209-223. [8] 罗恩,邝君尚.压电热弹性动力学的一些基本原理[J].中国科学,A辑,1999,29(9):851-858.
计量
- 文章访问数: 2195
- HTML全文浏览量: 125
- PDF下载量: 657
- 被引次数: 0