SAINT-VENANTS PRINCIPLE IN LINEAR PIEZOELECTRICITY

被引:134
作者
BATRA, RC [1 ]
YANG, JS [1 ]
机构
[1] RENSSELAER POLYTECH INST,DEPT MECH ENGN AERONAUT ENGN & MECH,TROY,NY 12180
关键词
D O I
10.1007/BF00042498
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Toupin's version of Saint-Venant's principle in linear elasticity is generalized to the case of linear piezoelectricity. That is, it is shown that, for a straight prismatic bar made of a linear piezoelectric material and loaded by a self-equilibrated system at one end only, the internal energy stored in the portion of the bar which is beyond a distance s from the loaded end decreases exponentially with the distance s.
引用
收藏
页码:209 / 218
页数:10
相关论文
共 10 条
[1]   SAINT-VENANT PRINCIPLE FOR A HELICAL SPRING [J].
BATRA, RC .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1978, 45 (02) :297-301
[2]   SAINTVENANTS PRINCIPLE IN LINEAR ELASTICITY WITH MICROSTRUCTURE [J].
BATRA, RC .
JOURNAL OF ELASTICITY, 1983, 13 (02) :165-173
[3]   SAINT-VENANTS PRINCIPLE FOR A MICRO-POLAR HELICAL BODY [J].
BATRA, RC .
ACTA MECHANICA, 1982, 42 (1-2) :99-109
[4]  
BERGLUND K, 1977, ARCH RATION MECH AN, V64, P317, DOI 10.1007/BF00282343
[5]   UNIFORMITY IN SHELLS [J].
ERICKSEN, JL .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1970, 37 (02) :73-&
[6]  
GURTIN ME, 1972, LINEAR THEORY ELAS A, V6
[7]   RECENT DEVELOPMENTS CONCERNING SAINT-VENANT PRINCIPLE [J].
HORGAN, CO ;
KNOWLES, JK .
ADVANCES IN APPLIED MECHANICS, 1983, 23 :179-269
[8]  
HORGAN CO, 1989, ARCH RATL MECH ANAL, P295
[9]  
Tiersten H.F., 1969, LINEAR PIEZOELECTRIC, P33
[10]  
Toupin R A, 1965, ARCH RATIONAL MECH A, V18, P83, DOI DOI 10.1007/BF00282253