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Metallurgical challen.es in.microelectron.c 3D IC packagin. techn.logy for future con.umer electron.c products

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Scien.e Chin.(Techn.logical Scien.es) 2013年第7期56卷 1740-1748页

作者： K. n. TU TIAn.Tian Departmen. of Mechan.cal an. Biomedical En.in.erin. City University of Hong Kong Departmen. of Materials Scien.e an. En.in.erin. University of California at Los Angeles

Metallurgical challen.es in.con.rollin. the microstructural stability of Cu an. solder microbumps in.3D IC packagin. techn.l-ogy are discussed. Usin. un.-direction.l orien.ed n.n.twin.ed Cu, the con.rolled growth of orien.ed Cu6Sn. on.the n.n.twin.ed Cu an. its tran.formation.to Cu3Sn.without Kirken.all voids have been.achieved. In.order to join.a stack of Si chips in.o a 3D device, multiple reflows of solder microbumps may be required; we con.ider localized heatin. to do so by the use of self-sustain.d explosive reaction.in.multi-layered Al/n. thin.films of n.n. thickn.ss. It avoids re-meltin. of those solder join.s which have been.formed already in.the 3D stackin. structure.

关键词： 3D IC packagin. microbump localized heatin.

DIFFUSIVE-DISPERSIVE TRAVELIn. WAVES An. KIn.TIC RELATIOn. IV. COMPRESSIBLE EULER EQUATIOn.

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Chin.se An.als of Mathematics,Series B 2003年第1期24卷 17-34页

作者： n. BEDJAOUI P.G.LEFLOCH Cen.re de Mathematiques Appliquees & Cen.re n.tion.l de la Recherche Scien.ifique UMR 7641 Ecole Polytechnique 91128 Palaiseau Cedex France. INSSET Universite de Picardie 48 rue Raspail 02109 Saint-Quentin France.Centre de Mathematiques Appliquees & Centre National de la Recherche Scientifique UMR 7641 Ecole Polytechnique 91128 Palaiseau Cedex France.

The authors con.ider the Euler equation. for a compressible fluid in.on. space dimen.ion.hen.the equation.of state of the fluid does n.t fulfill stan.ard con.exity assumption. an.viscosity an. capillarity effects are taken.in.o accoun.. A typical example of n.n.on.ex con.stitutive equation.for fluids is Van.der Waals' equation. The first order terms of these partialdifferen.ial equation. form a n.n.in.ar system of mixed (hyperbolic-elliptic) type. For a class ofn.n.on.ex equation. of state, an.existen.e theorem of travelin. waves solution. with arbitrarylarge amplitude is established here. The authors distin.uish between.classical (compressive) an.n.n.lassical (un.ercompressive) travelin. waves. The latter do n.t fulfill Lax shock in.quali-ties, an. are characterized by the so-called kin.tic relation. whose properties are in.estigatedin.this paper.

关键词： Elasto dyn.mics Phase tran.ition. Hyperbolic con.ervation.law Diffusion Dispersion Shock wave Un.ercompressive En.ropy in.quality Kin.tic relation

EXISTEn.E OF SOLUTIOn.An. APPROXIMATE COn.ROLLABILITY OF A SECOn.-ORDER n.UTRAL STOCHASTIC DIFFEREn.IAL EQUATIOn.WITH STATE DEPEn.En. DELAY

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Acta Mathematica Scien.ia 2016年第5期36卷 1509-1523页

作者： San.ukta DAS Dwijen.ra PAn.EY n. SUKAVAn.M Departmen. of Mathematics Indian Institution of Technology Roorkee

This paper has two section. which deals with a secon. order stochastic n.utral partial differen.ial equation.with state depen.en. delay. In.the first section.the existen.e an. un.quen.ss of mild solution.is obtain.d by use of measure of n.n.compactn.ss. In.the secon. section.the con.ition. for approximate con.rollability are in.estigated for the distributed secon. order n.utral stochastic differen.ial system with respect to the approximate con.rollability of the correspon.in. lin.ar system in.a Hilbert space. Our method is an.exten.ion.of co-author n. Sukavan.m’s n.vel approach in.[22]. Thereby, we remove the n.ed to assume the in.ertibility of a con.rollability operator used by authors in.[5], which fails to exist in.in.in.te dimen.ion.l spaces if the associated semigroup is compact. Our approach also removes the n.ed to check the in.ertibility of the con.rollability Gramian.operator an. associated limit con.ition.used by the authors in.[20], which are practically difficult to verify an. apply. An.example is provided to illustrate the presen.ed theory.

关键词： approximate con.rollability cosin. family state depen.en. delay n.utral stochastic differen.ial equation measure of n.n.ompactn.ss

EXISTEn.E An. Un.QUEn.SS RESULTS FOR BOUn.ARY VALUE PROBLEMS OF HIGHER ORDER FRACTIOn.L In.EGRO-DIFFEREn.IAL EQUATIOn. In.OLVIn. GROn.ALL'S In.QUALITY In.BAn.CH SPACES

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Acta Mathematica Scien.ia 2013年第3期33卷 758-772页

作者： Dimplekumar n. CHALISHAJAR K. KARTHIKEYAn Departmen. of Mathematics an. Computer Scien.e Virginia Military Institute (VMI) 417 Mallory HallLexington VA 24450 USA Departmen. of Mathematics KSR College of TechnologyTiruchengode-637 215 Tamilnadu India

We study boun.ary value problems for fraction.l in.egro-differen.ial equation. in.olvin. Caputo derivative of order α∈ （n.1, n. in.Ban.ch spaces. Existen.e an. un.quen.ss results of solution. are established by virtue of the Holder＇s in.quality, a suitable sin.ular Cron.all＇s in.quality an. fixed poin. theorem via a priori estimate method. At last, examples are given.to illustrate the results.

关键词： Boun.ary value problems fraction.l order in.egro-differen.ial equation. boun.-ary value problems existen.e an. un.quen.ss sin.ular gron.all in.quality fixed poin. theorem

THE DUAL OF n.n.OMMUTATIVE LOREn.Z SPACES

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Acta Mathematica Scien.ia 2011年第5期31卷 2067-2080页

作者：韩亚洲 Turdebek n. Bekjan College of Mathematics an. System Scien.es Xinjiang University

We prove some n.n.ommutative an.logues of the classical results about dual spaces of the classical Loren.z spaces.

关键词： dual spaces n.n.ommutayive Loren.z spaces operator algebras

Fin.te Size Effect for the First-Order Phase Tran.ition.of the Three-Dimen.ion.l Blume-Capel Model on.a Cellular Automaton

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Chin.se Physics Letters 2006年第9期23卷 2526-2529页

作者： n. Seferoglu A. Oezkan.B. Kutlu Gazi Un.versitesi Fen Bilimleri Enstitiisfi Fizik Anabilim Dah Ankara Turkey Gazi Un.versitesi Fen Edebiyat Fakiiltesi Fizik B61iimii 06500 Teknikokullar Ankara Turkey

The first-order phase tran.ition.of the three-dimen.ion.l Blume-Capel model is in.estigated usin. the coolin. algorithm which is improved from Creutz Cellular Automaton.at D/J = 2.9, i.e. a ratio of sin.le-ion.an.sotropy con.tan. to bilin.ar in.eraction.en.rgy. We test the efficien.y of the algorithm an. obtain.the fin.te-size effects at the first-order phase tran.ition.poin.. The tran.ition.temperature is estimated usin. the probability distribution. of the order parameter an. the en.rgy. The an.lysis of data at the tran.ition.poin. in.icates that the magn.tic susceptibility an. the specific heat maxima in.rease with the system value （L^d）.

关键词： TRICRITICAL BEHAVIOR MOn.E-CARLO APPROXIMATIOn SIMULATIOn An.SOTROPY SYSTEMS

Comparative An.lysis of Photo-Crystallization.in.a-Se95Te5 an. a-Se95In. Alloys

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Chin.se Physics Letters 2006年第11期23卷 3061-3064页

作者： n. Mehta D. Kumar A. Kumar Departmen. of Physics Pranveer Singh Institute of Technology Kanpur India Departmen. of Physics JSS Academy of Technical Education Noida India Departmen. of Physics Harcourt Butler Technological Institute Kanpur India

We report a comparative study on.photo-crystallization.in.a-Se95 Te5 an. a-Se95In. alloys. The photo-crystallization.is achieved by a shin.n. white lin. on.the thin.films of these alloys in.vacuum for differen. exposure times. The results in.icate that photo-crystallization.is fast in.a-Se95In. alloy as compared to a-Se95 Te5 alloy. This is explain.d in.terms of lower thermal stability of a-Se95In. alloy as compared to a-Se95 Te5 alloy.

关键词： AMORPHOUS THIn.FILMS CHALCOGEn.DE GLASSES TRAn.IEn. PHOTOCOn.UCTIVITY STEADY-STATE SELEn.UM KIn.TICS PHOTOCRYSTALLIZATIOn TRAn.ITIOn SEMICOn.UCTORS SE100-XIn.

Effect of Tin.In.orporation.on.Thermo-Mechan.cal Properties of Glassy Se80Te20 Alloy

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Chin.se Physics Letters 2014年第3期31卷 115-117页

作者： H. Kumar A. Sharma n. Mehta Departmen. of Physics Banaras Hindu University Varanasi 221005 India

We report an.an.lysis on.the hardn.ss behavior of glassy Se80？xTe20Sn. alloy. The crucial thermo-mechan.cal parameters （micro-hardn.ss, volume an. formation.en.rgy of micro-voids an. the modulus of elasticity） are examin.d. The results in.icate that the thermo-mechan.cal parameters are chan.ed sign.fican.ly after in.orporation.of Sn.in.glassy Se80Te20 alloy.

关键词： ALLOYS RESEARCH HARDn.SS THERMOMECHAn.CAL treatmen. GLASS -- Research PHYSICS research

DSC study on.temperature memory effect of n.Ti shape memory alloy

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中国有色金属学会会刊：英文版 2006年第B01期16卷 37-41页

作者： n. LIU W. M. HUAn. School of Mechan.cal an. Aerospace En.in.erin. Nanyang Technological University Singapore 639798

A systematic study on.the temperature memory effect (TME) in.a polycrystallin. n.Ti shape memory alloy was presen.ed. The in.estigation.was carried out through a series of differen.ial scan.in. calorimeter (DSC) tests. Two types of tests were con.ucted, n.mely sin.le-step test an. multi-step test. The in.luen.e of the step temperature on.the peak/trough temperatures in.the subsequen. heatin. process an. the associated en.rgy absorption.release in.the phase tran.formation. was in.estigated. Usin. a simple theoretical model, the exact mechan.sm behin. TME was studied.

关键词：镍钛合金形状记忆合金温度记忆效应相转变差分扫描量热计