典型文献
RESEARCH ANNOUNCEMENTS ON"DPK:DEEP NEURAL NETWORK APPROXIMATION OF THE FIRST PIOLA-KIRCHHOFF STRESS"
文献摘要：
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.
文献关键词：
中图分类号：
作者姓名：
YANG Zhi-jian;YUAN Cheng
作者机构：
School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China
文献出处：
引用格式：
[1]YANG Zhi-jian;YUAN Cheng-.RESEARCH ANNOUNCEMENTS ON"DPK:DEEP NEURAL NETWORK APPROXIMATION OF THE FIRST PIOLA-KIRCHHOFF STRESS")[J].数学杂志,2022(04):283-286
A类：
ANNOUNCEMENTS,DPK,NEURAL,APPROXIMATION,PIOLA,KIRCHHOFF,
Consider,Piola
B类：
RESEARCH,DEEP,NETWORK,THE,FIRST,STRESS,Introduction,Main,Results,first,Kirchhoff,stress,defined,as,where,deformation,tensor,energy,density,Due,prin,ciple,material,frame,indifference,symmetry,two,important,constraints,should,be,satisfied,by,these,relations,QF,QP,SO,FH,HT,stands,proper,orthogonal,group,refers
AB值：
0.605753
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