A hybrid-stress solid-shell element for non-linear analysis of piezoelectric structures  

作　　者：SZE K Y 

机构地区：[1]Department of Mechanical Engineering, University of Hong Kong

出　　处：《Science China(Technological Sciences)》2009年第3期575-583,共9页中国科学（技术科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 10672111);the Major Project of the Natural Science Foundation of Jiangsu Province (Grant No. BK2006725)

摘　　要：This paper presents eight-node solid-shell elements for geometric non-linear analyze of piezoelectric structures. To subdue shear, trapezoidal and thickness locking, the assumed natural strain method and an ad hoc modified generalized laminate stiffness matrix are employed. With the generalized stresses arising from the modified generalized laminate stiffness matrix assumed to be independent from the ones obtained from the displacement, an extended Hellinger-Reissner functional can be derived. By choosing the assumed generalized stresses similar to the assumed stresses of a previous solid ele- ment, a hybrid-stress solid-shell element is formulated. The presented finite shell element is able to model arbitrary curved shell structures. Non-linear numerical examples demonstrate the ability of the proposed model to analyze nonlinear piezoelectric devices.This paper presents eight-node solid-shell elements for geometric non-linear analyze of piezoelectric structures. To subdue shear, trapezoidal and thickness locking, the assumed natural strain method and an ad hoc modified generalized laminate stiffness matrix are employed. With the generalized stresses arising from the modified generalized laminate stiffness matrix assumed to be independent from the ones obtained from the displacement, an extended Hellinger-Reissner functional can be derived. By choosing the assumed generalized stresses similar to the assumed stresses of a previous solid element, a hybrid-stress solid-shell element is formulated. The presented finite shell element is able to model arbitrary curved shell structures. Non-linear numerical examples demonstrate the ability of the proposed model to analyze nonlinear piezoelectric devices.

关 键 词：PIEZOELECTRIC structures solid-shell element hybrid-stress GEOMETRIC NON-LINEAR 

分 类 号：TB112[理学—数学]