Orthogonal basic deformation mode method for zero-energy mode suppression of hyb

排行榜 收藏 打印 发给朋友 举报 来源: 《Applied Mathematics and Mechanics》 发布者:cjk3d
热度4票 浏览12次 【共0条评论】【我要评论 时间:2012年4月25日 20:35
水利论文MJ ws*z

Orthogonal basic deformation mode method for zero-energy mode suppression of hybrid stress elements水利论文G0V"A|aeI

水利论文7o6H:I:C(U&Ya@

Abstract:A set of basic deformation modes for hybrid stress finite elements are directly derived from the element displacement field. Subsequently, by employing the so-called united orthogonal conditions, a new orthogonalization method is proposed. The resulting orthogonal basic deformation modes exhibit simple and clear physical meanings. In addition, they do not involve any material parameters, and thus can be efficiently used to examine the element performance and serve as a unified tool to assess different hybrid elements. Thereafter, a convenient approach for the identification of spurious zero-energy modes is presented using the positive definiteness property of a flexibility matrix. Moreover, based on the orthogonality relationship between the given initial stress modes and the orthogonal basic deformation modes, an alternative method of assumed stress modes to formulate a hybrid element free of spurious modes is discussed. It is found that the orthogonality of the basic deformation modes is the sufficient and necessary condition for the suppression of spurious zero-energy modes. Numerical examples of 2D 4-node quadrilateral elements and 3D 8-node hexahedral elements are illustrated in detail to demonstrate the efficiency of the proposed orthogonal basic deformation mode method.

(h X3yL WN#h f5Y$I0

v)^1Vf J'Wjo1?J0作者:水利论文 ]H nv{3cb

+?Q b2^2?"D0Author:

!lA |]lD rN0 水利论文.{:_X}7Ka't.c8y

Can-hui ZHANG Dong-dong WANG Tong-shan LI Qian HUANG水利论文2D&v5C;]2w4X$^v N

W+hx6o Z*G$^0作者单位:水利论文QX,Cc4r#C \

水利论文^5hnK4a:O{g

Department of Civil Engineering, Xiamen University, Xiamen 361005, Fujian Province, P.R.China

_]7Q:s/WY(y qc0 水利论文(a8t`T/mud-p J

期 刊:

4l7MoBn6[_0 水利论文CK!CvH1b

应用数学和力学(英文版)水利论文5u7k)eD+W|XZ

;YdF^Ud b"c0Journal:

*JLip2h^.Ea0rw0

-^E q Z*M6S@ I0APPLIED MATHEMATICS AND MECHANICS

G-D@,es0 水利论文t_kV-ed9U}

年,卷(期):水利论文;Y6kM*q;HM

%\J{;V0w:fM!S$F02011, 32(1)

h s[8[R)DW A,]zd0 水利论文L~-m#N4SCl E g

分类号:

{3M/L"@`d5cl0

krsT!J0O242.21水利论文U4^)e;L9\0g}.V4AE9an

水利论文RG5aWE8NGir?

Keywords:水利论文pgX.r.t0Y7V

j/P7tA_A4P7Ei0hybrid stress element水利论文KTC5YYuj9l ^8zw

~,M f3vu+t l9S0basic deformation mode水利论文?a?/^S3S(Wz;`1UB

'a a/g5xeux6u0assumed stress mode

3A }4i)UOV0

(Zj9Y%pf9^0mode orthogonality水利论文Sip!X KVa

H3V_z1c*sJY0suppression of zero-energy deformation mode

5V1iI4D tVa2P,P0

j+z.kb Dk1j'L4dy"g0机标分类号:水利论文c'v8}Mo z

水利论文2Z w-[|%\.B

TG O3水利论文*Ywf,w_4x

4WRW/~Pk9w0机标关键词:

^6Cj5@(W0

7HUhKi/T:D0quadrilateral elements initial stress positive definiteness necessary condition material parameters hybrid element identification of finite elements relationship performance method of different physical approach addition examine simple found based set水利论文c*D2i`OY3O8D/L A

水利论文sx3e-A:c(RG"] ?

基金项目:

M,NZS,g*e*S'S5R0 水利论文_0a*Ym:Sz

the National Natural Science Foundation of China,the Fundamental Research Funds for the Central Universities of China,the Scientific Program of Fujian Province of China水利论文b*K&N6p#fO

水利论文W'}z:dZ

返回顶部互动百科相关词

4I%E;fX*p'\]2lW0
下一篇:Powell's optimal identification of material constants of thin-walled box girders
上一篇:Anti-plane analysis of semi-infinite crack in piezoelectric strip
查看全部回复【已有0位网友发表了看法】

广告投放

广告投放