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…     

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…     

NUMERICAL SIMULATION OF COMPLICATED PIPEFLOW WITH k-εMODEL

l.IntroductionInenginecringandnaturallie1ds.therearemanycomplicatedpipel1owswlthcomplexboundariesandobstructionsinsidethepipesimultaneously.IfthesimuIationofabodyconforminggridisuscdtosolvCthcscprobIems.itwouldbeveryIaboriousanddif1iculttoinsurestabilityandconvergence.Thus.weneedasimplcandapplicabIe1nethodtosimuIatctheboundariesapproximatelysothatk--emodetmaybeused.Ladder-1ikcmeshisusedinthispapertoreplacecomplexboundaryconditions.Meanwhile.blockoffmethodisusedforobstructedregion.II.Mathem…     

AUTHOR INDEX

Bi，H一T.26，395 BrUnne叭G 113 CSO，J .170，260 Caqulneau.5.260 C的，K .136 Chal.L.237 Chaouki.J.165 Chen，J.43 Chen，J.134 Chen.J.337 C油n，Q .42 Chen，Q.Y. 364 Chen.W.84 Chen，Y. 379 Cheng，丫26 ChO钊，J.C.170 Cui，2.F. 343 Czok.Q 105 VGnk日tesh Vlassak，JI V刚，C. R .D.165韶1 1 13 W白gner. 5.321 Wan，B .213 3 K4，208︸脚la;289.踢lae 78.176粼B. C.- F. G P. R. 5 W.Y.丫丫W自ng，Wang，Wang，协厄ng. Wang，Wang，Wang，W白ng，Wang. Wang，W翻ng，Dh自nasekh压ran，K.M.213 …     

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     

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     

Reciprocal theorem method for the forced vibration of elastic thick rectangular plates

I.IntroductionTheproblelllsofthefol.cedvibrationofelasticthickrectallgularplatestobesolvedareofgreattheoreticalsignificanceandpractical\7altle.Asthevibratinggoverningequationofthethickplateismorecomplicatedthallthatofthinplate.itisdil'ficulttoso]\'einmathematics.Manyscholarshat,eresearchedintotheseproblemsalldadvancedvariousspecialapproximations.Suchassuperpositionmethod.initialfLinctiollnletllod.thecombinedseriesot'theeigenftlnctionsofdeepbeamabouttilecorrespondillgboulldarycollditions.eller…     

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…     

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…     

BEM for simulation of a 2D elastic body with randomly distributed circular inclusions

Based on our 2D BEM software THBEM2 which can be applied to the simulation of an elastic body with randomly distributed identical circular holes, a scheme of BEM for the simulation of elastic bodies with randomly distributed circular inclusions is proposed. The numerical examples given show that the boundary element method is more accurate and more effective than the finite element method for such a problem. The scheme presented can also be successfully used to estimate the effective elastic properties of composite materials. Project supported by the National Natural Science Foundation of China (No. 19772025).     

FREE BOUNDARY PROBLEM OF THE 2D SEEPAGE FLOW

ＦＲＥＥＢＯＵＮＤＡＲＹＰＲＯＢＬＥＭＯＦＴＨＥ２ＤＳＥＥＰＡＧＥＦＬＯＷ￥ＳｈｅＹｉｎｇｈｅ（佘颖禾）ＳｕｎＹｉｎｇ（孙鹰）ＧｕｏＸｉａｏｍｉｎｇ（郭小明）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓａｎｄＭｅｃｈａｎｉｃｓ，Ｓｏｕｔｈｅａｓｔ...     

Artificial boundary method for the exterior Stokes flow in three dimensions

In this paper, the artificial boundary method is considered for the numerical simulation of the exterior Stokes flow in three dimensions. First, an exact relation between the normal stress and the velocity field is obtained on a spherical artificial boundary. With the relation specified on the artificial boundary, the original problem is reduced to a new one only defined on a finite domain. After that, an variational problem equivalent to the reduced problem is derived. By truncating the series term in the formulation, a sequence of approximate variational problems are obtained, which can then be solved with a suitable finite‐element scheme. Finally, a numerical example is presented to show the performance of the method. Copyright © 2003 John Wiley & Sons, Ltd.     

Computational model for short-fiber composites with eigenstrain formulation of boundary integral equations

A computational model is proposed for short-fiber reinforced materials with the eigenstrain formulation of the boundary integral equations （BIE） and solved with the newly developed boundary point method （BPM）. The model is closely derived from the concept of the equivalent inclusion Of Eshelby tensors. Eigenstrains are iteratively determined for each short-fiber embedded in the matrix with various properties via the Eshelby tensors, which can be readily obtained beforehand either through analytical or numerical means. As unknown variables appear only on the boundary of the solution domain, the solution scale of the inhomogeneity problem with the model is greatly reduced. This feature is considered significant because such a traditionally time-consuming problem with inhomogeneity can be solved most cost-effectively compared with existing numerical models of the FEM or the BEM. The numerical examples are presented to compute the overall elastic properties for various short-fiber reinforced composites over a representative volume element （RVE）, showing the validity and the effectiveness of the proposed computational modal and the solution procedure.     

Computational model for short-fiber composites with eigenstrain formulation of boundary integral equations

A computational model is proposed for short-fiber reinforced materials with the eigenstrain formulation of the boundary integral equations(BIE)and solved with the newly developed boundary point method(BPM).The model is closely derived from the concept of the equivalent inclusion of Eshelby tensors.Eigenstrains are iteratively determined for each short.fiber embedded in the matrix with various properties via the Eshelby tensors,which can be readily obtained beforehand either through analytical or numerical means.As unknown variables appear only on the boundary of the solution domain,the solution scale of the inhomogeneity problem with the model is greatly reduced.This feature is considered significant because such a traditionally time-consuming problem with inhomogeneity can be solved most cost-effectively compared with existing numerical models of the FEM or the BEM.The numerical examples are presented to compute the overall elastic properties for various short-fiber reinforced composites over a representative volume element(RVE),showing the validity and the effectiveness of the proposed computational modal and the solution procedure.     

Calculation of capillary jet

The Arbitrary Lagrangian Eulerian (ALE) framework coupled with some boundary tracking techniques is proven to be an effective method for simulation of free‐surface flows. In this paper, a special ALE framework is derived with clarification of three velocities, the notion of mesh‐frozen and field‐frozen, and the notion of tentatively inertial coordinates. A weighted integral ALE governing equations are formulated on generic coordinates and discretized with a finite element method and linear implicit time scheme. The system is solved with a discrete operator splitting technique and superposition‐based logistic parallelization. The formulation and implementation are verified through several fixed‐geometry problems and a reasonably good parallel performance is observed. Capillary jet flow is the main problem of the paper and the numerical techniques for boundary tracking are elaborated, which include an indirect boundary tracking of flux method and an iterative direct boundary tracking method. Also, a high‐order compact scheme for dynamic boundary condition and a squeeze technique for kinematic boundary condition are adopted. The axisymmetric jet breakup is studied in detail and numerical results match with the published data very well. Numerical accuracy and sensitivity are studied, including effects of element type, time scheme, compact scheme, and boundary tracking techniques. Copyright © 2010 John Wiley & Sons, Ltd.     

Micromechanical analysis of fibrous piezoelectric composites with imperfectly bonded adherence

In this work, two-phase parallel fiber-reinforced periodic piezoelectric composites are considered wherein the constituents exhibit transverse isotropy and the cells have different configurations. Mechanical imperfect contact at the interface of the piezoelectric composites is studied via linear spring model. The statement of the problem for two-phase piezoelectric composites with mechanical imperfect contact is given. The local problems are formulated by means of the asymptotic homogenization method, and their solutions are found using complex variable theory. Analytical formulae are obtained for the effective properties of the composites with spring imperfect type of contact and different rhombic cells. Using the concept of a representative volume element (RVE), a finite element model is created, which combines the angular distribution of fibers and imperfect contact conditions (spring type) between the phases. Periodic boundary conditions are applied to the RVE, so that effective material properties can be derived. The fibers are distributed in such a way that the microstructure is characterized by a rhombic cell. The presented numerical homogenization technique is validated by comparing results with theoretical approach reported in the literature. Some studies of particular cases, numerical examples, and comparisons between the two aforementioned methods with other theoretical results illustrate that the model is efficient for the analysis of composites with presence of rhombic cells and the aforementioned imperfect contact.     

A parallel fast multipole BEM and its applications to large-scale analysis of 3-D fiber-reinforced composites

In this paper, an adaptive boundary element method (BEM) is presented for solving 3-D elasticity problems. The numerical scheme is accelerated by the new version of fast multipole method (FMM) and parallelized on distributed memory architectures. The resulting solver is applied to the study of representative volume element (RVE) for short fiber-reinforced composites with complex inclusion geometry. Numerical examples performed on a 32-processor cluster show that the proposed method is both accurate and efficient, and can solve problems of large size that are challenging to existing state-of-the-art domain methods.The project supported by the National Natural Science Foundation of China (10472051).The English text was polished by Yunming Chen.     

ANALYSIS ON ACOUSTICAL SCATTERING BY A CRACKED ELASTIC STRUCTURE

The acoustical scattering by a cracked elastic structure is studied. The mixed method of boundary element and fractal finite element is adopted to solve the cracked structure-acoustic coupling problem. The fractal two-level finite element method is employed for the cracked structure, which can reduce the degree of freedoms (DOFs) greatly, and the boundary element method is used for the exterior acoustic field which can automatically satisfy Sommerfeld‘s radiation condition. Numerical examples show that the resonance frequency is lower with the crack‘s depth increase, and that the effect on the acoustical field by the crack is particularly pronounced in the vicinity of the crack tip. This mixed method of boundary element and finite element is effective in solving the scattering problem by a cracked structure.     

A simple and accurate mixed FE-DQ formulation for free vibration of rectangular and skew Mindlin plates with general boundary conditions

A simple and accurate mixed finite element-differential quadrature formulation is proposed to study the free vibration of rectangular and skew Mindlin plates with general boundary conditions. In this technique, the original plate problem is reduced to two simple bar (or beam) problems. One bar problem is discretized by the finite element method (FEM) while the other by the differential quadrature method (DQM). The mixed method, in general, combines the geometry flexibility of the FEM and high accuracy and efficiency of the DQM and its implementation is more easier and simpler than the case where the FEM or DQM is fully applied to the problem. Moreover, the proposed formulation is free of the shear locking phenomenon that may be encountered in the conventional shear deformable finite elements. A simple scheme is also presented to exactly implement the mixed natural boundary conditions of the plate problem. The versatility, accuracy and efficiency of the proposed method for free vibration analysis of rectangular and skew Mindlin plates are tested against other solution procedures. It is revealed that the proposed method can produce highly accurate solutions for the natural frequencies of rectangular and skew Mindlin plates with general boundary conditions.