典型文献
A variational differential quadrature solution to finite deformation problems of hyperelastic shell-type structures:a two-point formulation in Cartesian coordinates
文献摘要：
A new numerical approach is presented to compute the large deformations of shell-type structures made of the Saint Venant-Kirchhoff and Neo-Hookean materials based on the seven-parameter shell theory.A work conjugate pair of the first Piola Kirch-hoff stress tensor and deformation gradient tensor is considered for the stress and strain measures in the paper.Through introducing the displacement vector,the deformation gradient,and the stress tensor in the Cartesian coordinate system and by means of the chain rule for taking derivative of tensors,the difficulties in using the curvilinear coor-dinate system are bypassed.The variational differential quadrature(VDQ)method as a pointwise numerical method is also used to discretize the weak form of the governing equations.Being locking-free,the simple implementation,computational efficiency,and fast convergence rate are the main features of the proposed numerical approach.Some well-known benchmark problems are solved to assess the approach.The results indicate that it is capable of addressing the large deformation problems of elastic and hyperelastic shell-type structures efficiently.
文献关键词：
中图分类号：
作者姓名：
M.FARAJI-OSKOUIE;R.ANS ARI;M.DARVIZEH
作者机构：
Faculty of Mechanical Engineering,University of Guilan,Rasht 3756,Iran
文献出处：
引用格式：
[1]M.FARAJI-OSKOUIE;R.ANS ARI;M.DARVIZEH-.A variational differential quadrature solution to finite deformation problems of hyperelastic shell-type structures:a two-point formulation in Cartesian coordinates)[J].应用数学和力学（英文版）,2022(08):1219-1232
A类：
Piola,Kirch,hoff,bypassed,VDQ
B类：
variational,differential,quadrature,solution,finite,problems,hyperelastic,shell,type,structures,two,formulation,Cartesian,coordinates,new,numerical,approach,presented,compute,large,deformations,made,Saint,Venant,Kirchhoff,Neo,Hookean,materials,seven,parameter,theory,work,conjugate,pair,first,stress,gradient,considered,strain,measures,paper,Through,introducing,displacement,vector,system,means,chain,rule,taking,derivative,tensors,difficulties,using,curvilinear,are,method,pointwise,also,used,discretize,weak,governing,equations,Being,locking,free,simple,implementation,computational,efficiency,fast,convergence,rate,main,features,proposed,Some,well,known,benchmark,solved,assess,results,indicate,that,capable,addressing,efficiently
AB值：
0.541884
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