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

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 prin-ciple of material frame-indifference and the material symmetry,two important constraints should be satisfied by these relations[1]:P(QF)=QP(F),?Q∈SO(3);(1.2)P(F)=P(FH)HT,?H∈G,(1.3)where SO(3)stands for the proper orthogonal group and G refers to the material symmetry group.

机标关键词：research、stress、network、first、deep、announcements、approximation、neural、piola-kirchhoff

所属期刊栏目：42

分类号：F279.23;TP393;TP273

在线出版日期：2022-07-14（万方平台首次上网日期，不代表论文的发表时间）

页数：共4页

页码：283-286