EVALUATION OF DEGENERATE SCALE FOR N-GON CONFIGURATION IN ANTIPLANE ELASTICITY

EVALUATION OF DEGENERATE SCALE FOR N-GON CONFIGURATION IN ANTIPLANE ELASTICITY

导出

摘要 This paper provides a solution for the degenerate scale for N-gon configuration in antiplane elasticity using the conformal mapping function, and the lower and upper bounds for the degenerate scale for N = 3, 4, 5, 6, 7, 8, 10, 20, 30, 40, 50, 100, 150 and 200, are evaluated. This paper provides a solution for the degenerate scale for N-gon configuration in antiplane elasticity using the conformal mapping function, and the lower and upper bounds for the degenerate scale for N = 3, 4, 5, 6, 7, 8, 10, 20, 30, 40, 50, 100, 150 and 200, are evaluated.

作者 Yizhou Chen

机构地区 Division of Engineering Mechanics

出处《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2013年第5期514-518,共5页 固体力学学报（英文版）

关键词 degenerate scale antiplane elasticity conformal mapping illness boundary valuecondition degenerate scale, antiplane elasticity, conformal mapping, illness boundary valuecondition

分类号 O174 [理学—基础数学]

引文网络
相关文献

参考文献8

1Chen,J.T., Lin,J.H., Kuo,S.R. and Chiu,Y.P., Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants. Engineering Analysis with Boundary Elements, 2001, 25(9): 819-828.
2Chen,J.T., Kuo,S.R. and Lin,J.H., Analytical study and numerical experiments for degenerate scale prob- lems in the boundary element method of two-dimensional elasticity. International Journal for Numerical Methods in Engineering, 2002, 54(12): 1669-1681.
3Chen,J.T., Lee,C.F., Chen,I.L. and Lin,J.H., An alternative method for degenerate scale problems in bound- ary element methods for the two-dimensional Laplace equation. Engineering Analysis with Boundary Ele- ments, 2002, 26(7): 559-569.
4Chen,J.T., Lin,S.R. and Chen,K.H., Degenerate scale problem when solving Laplace's equation by BEM and its treatment. International Journal for Numerical Methods in Engineering, 2005, 62(2): 233-261.
5Vodi~ka,R. and Manti~,V., On invertibility of elastic single-layer potential operator. Journal of Elasticity, 2004, 74(2): 147-173.
6Chen,Y.Z., Wang,Z.X. and Lin,X.Y., Numerical examination for degenerate scale problem for ellipse-shaped ring region. International Journal for Numerical Methods in Engineering, 2007, 71(7): 1208-1230.
7Chen,Y.Z., Lin,X.Y. and Wang,Z.X., Evaluation of the degenerate scale for BIE in plane elasticity and antiplane elasticity by using conformal mapping. Engineering Analysis with Boundary Elements, 2009, 33(2): 147-158.
8Muskhelishvili,N.I., Some Basic Problems of Mathematical Theory of Elasticity. Netherlands: Noordhoof, 1953.

1许立忠,杨盛福,毕春海.渐开线齿轮齿廓保角映射函数精确求解[J].东北重型机械学院学报,1994,18(4):301-305.
2谭晓兰,许立忠,杨胜福.渐开线齿轮齿廓保角映射函数的映射精度分析[J].燕山大学学报,1999,23(1):73-75.
3王兴春,王金颜,郭建华,刘志誉.计算机实现同步带齿保角映射函数参数初值的确定[J].齐齐哈尔大学学报（自然科学版）,2003,19(1):96-98.
4谭晓兰,许立忠,邹东林.保角映射法精确求解渐开线直齿轮轮齿挠度[J].燕山大学学报,1998,22(4):363-367.
5杨班权,刘又文,薛孟君.多圆形刚性夹杂的反平面问题[J].应用力学学报,2003,20(2):64-67.
6Zhonghua Zhao Lijuan Fan.On Degenerate Ringel-HaU Algebras of Types A and G2[J].Algebra Colloquium,2014,21(1):67-80. 被引量：1
7王建华,陆建飞,沈为平.SOLUTION OF MULTIPLE CURVED RIGID LINE ANDANTIPLANE CIRCULAR INCLUSION PROBLEM BYWEAKLY SINGULAR INTEGRAL EQUATION[J].Journal of Shanghai Jiaotong university(Science),2000,5(2):47-51.
8屈盛,张兴旺,尹志岗,游经碧,陈诺夫.Quasi-Hexagonal Ordered Arrays of FePt Nanoparticles Prepared by a Micellar Method[J].Chinese Physics Letters,2007,24(12):3520-3523.
9我国提高部分商品出口退税率[J].数控机床市场,2000(2).
10蔡克峰,南策文,袁润章,叶能.MICROSTRUCTURE AND MECHANICAL PROPERTIES OF(Nb,Ti)C-Ni COMPOSITE[J].Journal of Wuhan University of Technology(Materials Science),1994,9(3):15-18.

Acta Mechanica Solida Sinica

2013年第5期

浏览历史

内容加载中请稍等...

EVALUATION OF DEGENERATE SCALE FOR N-GON CONFIGURATION IN ANTIPLANE ELASTICITY

参考文献8

相关作者

相关机构

相关主题

浏览历史