RESEARCH ANNOUNCEMENTS ON “DPK: DEEP NEURAL NETWORK APPROXIMATION OF THE FIRST PIOLA-KIRCHHOFF STRESS”  

作　　者：YANG Zhi-jian YUAN Cheng 

机构地区：[1]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China

出　　处：《数学杂志》2022年第4期283-286,共4页Journal of Mathematics

基　　金：Supported by National Key Research and Development Program of China(2020YFA0714200);National Nature Science Foundation of China(12125103,12071362);Natural Science Foundation of Hubei Province(2021AAA010,2019CFA007);Fundamental Research Funds for the Central Universities。

摘　　要：1 Introduction and Main Results Consider the first Piola-Kirchhoff stress P defined as[1]P(F)=?W(F)/?F,(1.1)where F and W refer to the deformation tensor and strain energy density.Due to the principle of material frame-indifference and the material symmetry,two important constraints should be satisfied by these relations[1].

关 键 词：DENSITY DEFORMATION STRESS 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]