Some basic principles for linear coupled dynamic thermopiezoelectricity

查看全文 作　　者：罗恩;邝君尚 出　　处：《Science China Mathematics》索引1999年第42卷第12期,共9页 基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 19672074);Research Grand Council of Hong Kong, No. RGC97/98, HKUST 6055/97E. 摘　　要：According to the basic idea of classical yin-yang complementarity and modern dual-complementarity, in a simple and unified way some basic principles for linear coupled dynamic thermopiezoelectricity can be established systematically. An important integral relation in terms of convolutions is given, which can be considered as the generalized principle of virtual work in mechanics. Based on this relation, it is possible not only to obtain the principle of virtual work and the reciprocal theorem in linear coupled dynamic thermopiezoelectricity, but also to derive systematically the complementary functionals for eleven-field, nine-field, six-field and three-field simplified Gurtin-type variational principles. Furthermore, with this approach, the intrinsic relationship among various principles can be explained clearly. 关 键 词：LINEAR coupled dynamic thermopiezoelectricity PRINCIPLE of virtual work reciprocal theorem simplified Gurtin-type VARIATIONAL PRINCIPLE COMPLEMENTARY relation.