%0 Journal Article
%T THE DECOMPOSED THEOREM OF THE TRANSVERSELY ISOTROPIC ELASTIC PLATE<br>横观各向同性板的分解理论
%A Zhao Baosheng Wang Minzhong
%A <br>赵宝生
%A 王敏中
%J 力学学报
%D 2004
%I 
%X In 1992, Gregory gave a rigorous proof about the decomposed form when stress is anti-symmetrical about the mid-plane. His proof is dependent on his previous work, i.e., the Papkovich-Fadle eigenfunction expansion of bi-orthogonal functions. In this paper, we generalize isotropic elastic plate to transversely isotropic elastic plate. And give the decomposed theorem of the transversely isotropic elastic plate, ie. the general state of stress in the plate can be decomposed three parts: the interior state, the shear state and the transcendental state. Our proof is concise and direct and independent of the Papkovich-Fadle eigenfunction expansion of bi-orthogonal functions.
%K transversely isotropic plate
%K decomposed theorem
%K interior state
%K shear state
%K transcendental state<br>横观各向同性板
%K 分解定理
%K 内应力状态
%K 剪切应力状态
%K 超越应力状态
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=D4D89D6C768FA1BE&yid=D0E58B75BFD8E51C&vid=933658645952ED9F&iid=CA4FD0336C81A37A&sid=11B4E5CC8CDD3201&eid=E84BBBDDD74F497C&journal_id=0459-1879&journal_name=力学学报&referenced_num=4&reference_num=17