AUTHOR INDEX

Abdullah, E.C. 104 Adams, M. 35 Aldinger, F. 9 Antiohos, S.K. 73 Bai, B. 220 Bai, H. 77 Bao, L. 300 Beltramini, J.N. 80 Bi, H.-T 103,127,194 Boyko, M.N. 70 Brandl, H. 93 Cao, G. 20 Cao, J. 316,346 Chaniotakis, E. 234 Chatenet, B. 330 Che, H. 20,327 Chen, H. 330 Chen, H. 153 Chen, J. 300 Chen, J. 238 Chen, Q. 238 Chen, X. 25 Cheng, Y. 108,312 Chen, Y. 323 Chen, Z. 327 Chouliara, E. 73 Chow, J. 259,346 Cui, H. 183 Dai, M. 293 Ding, Z. 60 Dong, J. 346 Du, B. 1 Du, H. 25…     

ACTA MECHANICA SOLIDA SINICA CONTENTS

Anti-plane shear waves scattering from a partially debonded magneto-electro- elastic circular cylindrical inhomogeneity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Du Jianke, Shen Yapeng, Tian Weiping I-1Wave superposi…     

VIBRATIONS OF ONE-WAY RECTANGULAR STEPPEDTHIN PLATES ON WINKLER'S FOUNDATION

I.IntroductionUsedextensivelyillengineeringareone-wayrectallgularsteppedthinplates.suchaslongandnarrow"platesofl'Oundationbaseincivilengineering,high-c"a}'surface.retainingwall,undergroundstructurefi-ame,baseplatesofsluice.shipyardando\-ertlowdam.Theyshouldnotonlymeetrequirementsofstrength,stiffnessalldsteadinessofstructuresbutalsosavematerialstotileftlll.Thus,steppedstructuresarecolnmonl}'adoptedinengineerings.Sofar.vibratio,nsofsuChplateshavenotbeendiscussedinanyliterature.Inthispaper.disc…     

An improvement and proof of OGY method

I.IntroductionRecenhycontrollingchaosbecomesaninterestingsubject.In1990,E.Ott,C.GreogiandJ.A.Yorkelllgaveacollceptionofcontrollingchaos,andgaveacontrollingmethodknownasOGYmethod.ThereweremanyresultsthatshowedOGYmethodiseffective.AfterOGY,manymethodsofcontrollingchaosweregiven,mostofthemwerebasedonOGY13'4'5'6'71.SoOGYmethodisthefundamentofcontrollingchaos.ToachieveaproofofOGYisanimportanttaskformathematicstheoryofcontrollingchaos.Thispaperchangesthemethodofchoosingparameter,andprove…     

The effective moduli of composite reinforced by spherical coating particles

1.IntroductionThecompositereinforcedbysphericalparticlesisanilllportantengilleel-lugmaterial.Itiswidelyusedinvariousfieldsuchasaviationandspaceflight.Withl'egardtoitsefttctivemodulusproblenl,maily1llodelsandmethodswereproposedillpilotyeal's.Somethed.eticalpredictionlbrnlulaehavebeenobtailledtitpresent,whicharequiteinagreementwithexpel.imelltalresultslll.FIowcver,becausedemandingl'orcompositeincllglneeri11gtlpplicationbecomeslargel'daybyday,theSurftlcecoatillgofreinforcednlatel.iLtlincomposit…     

Threshold value for diagnosis of chaotic nature of the data obtained in nonlinear dynamic analysis

I.IntroductionInreallife,inengineering,innature,andinthesociety,thereexisteverykindoftimeseriesproblems.Becausenonlinearfactorsareextensivelyimplicatedilltiledynamicsystemsofvariousfields,thebehaviourofthesystemscantakethecomplicatedanddiverseforms.Atpresent,twodifferentmethodsareusedtostudytheproblemoftinleseries.Ollemethodistoadoptthetheoryofrandomprocessonthebasisofprobabilitytheory.Andthistheoryisusedtofoundthesystemlinearmodel.Thismethodhasalreadybeenstudiedperfectly.Forexample,determin…     

A new technique for solving non-axially symmetrical large deflection of elastic and thin circular plates

I.IntroductionBecauseofthenonlinearityoflargedeflectionproblemofthinplates,itisquitedifficulttoobtainitsaccuratesolution.Thereforeanapproximatesolutiontoitobtainedbyanappropriatemethodisdesired.Thetechniquesocalledperturbation,beingabletogiveresultswithadequateprecision,isofaprevailingandeffectiveonetobegenerallyaccepted.W.Z.Chientl]succesfullyobtainedanapproximatesolutiontothelargedeflectionproblemofthincircularplatefie-curalaxisymmetricallybyperturbationtechnique.X.Z.Wangl'Jgainedthedispl…     

Dual solutions of time-dependent magnetohydrodynamic stagnationpoint boundary layer micropolar nano?uid ?ow overshrinking/stretching surface?

正H. B. LANJWANI1, M. S. CHANDIO1, M. I. ANWAR2,S. A. SHEHZAD3,, M. IZADI4     

The theory of fractal interpolated surface and its applications

I.IntroductionFI.actillilltcrpolationwastlrstpEltforwardbyunA]ncrica1llathematician,M.F.Barllsley.in1986.ItgivesanewInethodologytardataf'ittillg,whichnotonlyopedsupanewresearch11eldfol'tilnctiollappl'oachingtheory,butalsoprovidespowerfultoolsforcolnptltcrgraphicsThistool'sapplicabilityisnowfilllyappreciated.Theuseoflinearfunctions,polynomialfunctionsandSurtllcespringfunctionstoestablishvariousmeterialobjectmodelsinreallifefi-omtraditionalEuclideangeometryisnowcommonpractice.Theavailabilit…     

Bio-Marangoni convection ?ow of Casson nanoliquid througha porous medium in the presence of chemicallyreactive activation energy?

正J. K. MADHUKESH1, G. K. RAMESH2, B. C. PRASANNAKUMARA1,S. A. SHEHZAD3,, F. M. ABBASI4     

A meshless method of a thin plate

A meshless approach to analysis of arbitrary Kirchhoff plates by the local boundary integral equation(LBIE) method is presented. The method combines the advantageous features of, all the three methods: the Galerkin finite element method (GFEM), the boundary element method (BEM) and the element-free Galerkin method (EFGM). It is a truly meshless method, which means that the discretization is independent of geometric subdivision into elements or cells, but is only based on a set of nodes (ordered or scattered) over a domain in question. It involves only boundary integration, however, over a local boundary centered at the node in question; It poses no difficulties in satisfying the essential boundary conditions while leading to banded and sparse system matrices using the moving least square (MLS) approximations. It is shown that high accuracy can be achieved for arbitrary geometries for clamped and simply-supported edge conditions. The method is found to be simple, efficient, and attractive. Project supported by the National Science Foundation of China (No. 19972019).     

基于单位分解法的无网格数值流形方法

在数值流形方法和单位分解法的基础上，提出了无网格数值流形方法. 无网格数值流形 方法在分析时采用了双重覆盖系统，即数学覆盖和物理覆盖. 数学覆盖提供的节点形成求解 域的有限覆盖和单位分解函数；而物理覆盖描述问题的几何区域及其域内不连续性. 与原有 的数值流形方法相比，无网格数值流形方法的数学覆盖形状更加灵活，可以用一系列节点的 影响域来建立数学覆盖和单位分解函数，具有无网格方法的特性，从而摆脱了传统的数值流 形方法中网格所带来的困难. 与无网格方法相比，由于采用了有限覆盖技术，试函数的构造 不受域内不连续的影响，克服了原有的无网格方法在处理不连续问题时所遇到的困难. 详细推导了无网格数值流形方法的试函数和求解方程，最后给出了算例，验证了该方法的正 确性.     

Differential quadrature method to stability analysis of pipes conveying fluid with spring support

It is a new attempt to extend the differential quadrature method (DQM) to stability analysis of the straight and curved centerline pipes conveying fluid. Emphasis is placed on the study of the influences of several parameters on the critical flow velocity. Compared to other methods, this method can more easily deal with the pipe with spring support at its boundaries and asks for much less computing effort while giving aceptable precision in the numerical results. Supported by National Key Project of China (No. PD9521907) and the National Science Foundation of China (No. 19872025).     

Enriched meshless manifold method for two-dimensional crack modeling

The meshless manifold method is based on the partition of unity method and the finite cover approximation theory which provides a unified framework for solving problems dealing with both continuum with and without discontinuities. The meshless manifold method employs two cover systems. The mathematical cover system provides the nodes for forming finite covers of the solution domain and the partition of unity functions. And the physical cover system describes geometry of the domain and the discontinuous surfaces in the domain. The shape functions are derived by the partition of unity and the finite covers approximation theory. In meshless manifold method, the mathematical finite cover approximation theory is used to model cracks that lead to interior discontinuities in the displacement. Therefore, the discontinuity is treated mathematically instead of empirically by the existing methods. However, one cover of a node is divided into two irregular sub-covers when the meshless manifold method is used to model the discontinuity. As a result, the method sometimes causes numerical errors at the tip of a crack. To improve the precision of the meshless manifold method, the enriched methods are introduced in this work for crack problems.     

模拟裂纹扩展的单位分解扩展无网格法

单位分解扩展无网格法(PUEM)是一种求解不连续问题的新型无网格方法.其基于单位分解思想,通过在传统无网格法的近似函数中加入扩展项来反映由裂纹所产生的不连续位移场.详细描述了水平集方法,PUEM不连续近似函数的构造及控制方程的离散.针对裂纹扩展问题,提出了一种十分简单的水平集更新算法;讨论了不同的节点数、高斯积分阶次以及围线积分区域对应力强度因子计算结果的影响,并给出了合理的参数;模拟了边裂纹和中心裂纹的扩展问题,并与XFEM的数值结果进行了比较.数值算例表明,本文方法具有较高的计算精度,是模拟裂纹扩展非常有效的方法,具有广阔的应用前景.     

Characteristic Galerkin method for convection-diffusion equations and implicit algorithm using precise integration

This paper presents a finite element procedure for solving transient, multidimensional convection-diffusion equations. The procedure is based on the characteristic Galerkin method with an implicit algorithm using precise integration method. With the operator splitting procedure, the precise integration method is introduced to determine the material derivative in the convection-diffusion equation, consequently, the physical quantities of material points. An implicit algorithm with a combination of both the precise and the traditional numerical integration procedures in time domain in the Lagrange coordinates for the characteristic Galerkin method is formulated. The stability analysis of the algorithm shows that the unconditional stability of present implicit algorithm is enhanced as compared with that of the traditional implicit numerical integration procedure. The numerical results validate the presented method in solving convection-diffusion equations. As compared with SUPG method and explicit characteristic Galerkin method, the present method gives the results with higher accuracy and better stability. The project sponsored by the State Scientific and Technological Commission of China through “China State Key Project: the Theory and Methodology for Scientific and Engineering Computations with Large Scale”, the National Natural Science Foundation of China and the European Commission Research Project CI1^*CT94-0014.     

UNIFIED COMPUTATION OF FLOW WITH COMPRESSIBLE AND INCOMPRESSIBLE FLUID BASED ON ROE＇S SCHEME

A unified numerical scheme for the solutions of the compressible and incompressible Navier-Stokes equations is investigated based on a time-derivative preconditioning algorithm. The primitive variables are pressure, velocities and temperature. The time integration scheme is used in conjunction with a finite volume discretization. The preconditioning is coupled with a high order implicit upwind scheme based on the definition of a Roe＇s type matrix. Computational capabilities are demonstrated through computations of high Mach number, middle Mach number, very low Mach number, and incompressible flow. It has also been demonstrated that the discontinuous surface in flow field can be captured for the implementation Roe＇s scheme.     

加权最小二乘无网格法

在最小二乘法和移动最小二乘近似的基础上提出了加权最小二乘无网格法．该方法除节点外又引入了一些辅助点，控制方程在所有节点和辅助点处的残差用最小二乘法予以消除，边界条件用罚函数法引入．另外对移动最小二乘近似进行了改进，并给出了最小二乘法中泛函的简化格式，因而提高了计算效率．与配点法相比，新方法精度高，稳定性好，并且系数矩阵是对称正定矩阵．与Galerkin法相比，该方法不需要进行高斯积分，因而计算量小．算例表明该方法具有效率高、精度高和稳定性好等优点，并且易于实现．     

Extended meshless method based on partition of unity for solving multiple crack problems

An extended meshless method based on partition of unity was used in this study to simulate multiple cracks. The cracks are implicitly denoted by a jump in the displacement field function, which has nodes that have domains of influence completely segmented by cracks. Nodes whose domains of influence are partially segmented by cracks are extended by the crack tip singularity function. The influence domain of a node is independent of cracks so that the sparsity of the system equations should not be affected by cracks and the computing time should not increase with the effect of the cracks. Additionally, r ^?1/2 singularity can be accurately reproduced at the crack tip. Compared with the modified intrinsic enriched meshless method, our method has a higher computational efficiency and precision. Several numerical examples show that the extended meshless method based on partition of unity is feasible and effective in simulating multiple cracks.     

平面裂纹问题的h, p, hp型自适应无网格方法的研究

无网格方法以其独特的优点：不需“网格”（即节点间的连接信息）划分,特别适合自适应的分析,在分析中只需要高梯度域简单地插入离散点（ｈ型）或保持模型节点数、分布、覆盖大小均不变,中增加高误差覆盖上的函数的多项式阶次（ｐ型）,便可以得到更高精度的数值模型。针对平面弹性问题发展和推导一种显式后验误差指示公式,对平面裂纹实例进行了ｈ型,ｐ型,ｈｐ型三种不同类型的无网格自适应分析,数值分析结果表明了这种自适应