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1997年 第18卷 第11期    刊出日期：1997-11-18

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论文

INVERSE ASYMPTOTIC SOLUTION METHOD FOR FINITEDEFORMATION ELASTO-PLASTICITY

陈至达

1997, 18(11):  1029-1036. 

摘要 ( 615 )   PDF (511KB) ( 430 )  

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The development of modern mechanics in recent years has made many importantprogresse in the concepts and methods for nonlinear large deforntation mechanics([1],[2],[3]etc.). The presenl paper is aimed to show how the natural co-moving systemmethod and Stokes-Chen,s decomposition theorem can be effectively appliedasymptotically to solving problems of finite defomation elasto-plasticity by inverseasymptotic method for enyineering design purpose. Rigid punch problem is exanipfifiedin the paper.

ELECTRO-ELASTIC GREEN'S FUNCTIONS FOR APIEZOELECTRIC HALF-SPACE ANDTHEIR APPLICATION

刘金喜;王彪;杜善义

1997, 18(11):  1037-1043. 

摘要 ( 400 )   PDF (464KB) ( 357 )  

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In this paper, as is studied are the electro-elastic solutions for a piezoelectric halfspace subjected Io a line force, a line charge and a line dislocation, i. e.. Green sfunclions on the basis of Stroh formalism and the concept of analytical continuation,explicit expressions for Green's functions are derived. As a direct application of theresults obtained, an infinite piezoelectric solid containing a semi-infinite crack isexammed. Attention iffocused on the stress and electric displacement fields of a cracktip. The stress and electric displacement intensity .factors are given explicitly.

THE GLOBALIZATION OF DURAND-KERNER ALGORITHM

赵风光;王德人

1997, 18(11):  1045-1057. 

摘要 ( 392 )   PDF (887KB) ( 574 )  

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Making use of the theory of continuous homotopy and the relation betweensymmetric polynomtal and polynomtal in one variable the arthors devoted ims article to constructing a regularly homotopic curve with probability one. Discrete tracingalong this honlotopic curve leads 10 a class of Durand-Kerner algorithm with stepparameters. The convergernce of this class of algorithms is given, which solves theconjecture about the global property of Durand-Kerner algorithm. The.problem forsteplength selection is thoroughly discussed Finally, sufficient numerical examples areused to verify our theory

FORMULATION OF A SEMI-ANALYTICAL APPROACH BASEDON GURTIV VARIATIONAL PRINCIPLE FOR DYNAMICRESPONSE OF GENERAL THIN PLATES

彭建设;张敬宇;杨杰

1997, 18(11):  1059-1063. 

摘要 ( 329 )   PDF (395KB) ( 1243 )  

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4 semi-analytical approach for the dynamic response of general thin plates whichemployes finite element discretization in space domain and a series of representation intime demain is developed on the basis of Curtin variational principles.The formulationof time series is also investigated so that the dynamic response of plates with arbitraryshape and boundary constraints can be achieved with adequate accuracy.

CRACK PROPAGATION IN THE POWER-LAW NONLINEARVISCOELASTIC MATERIAL

熊电元;张双寅

1997, 18(11):  1065-1071. 

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An analysis on crack creep propagation problem of power-law nonlinear viscoelastic materials is presented. The Creep incompressilility assumption is used Tosimulate fracture behavior of craze region. it is assumed that in the fracture processzone near the crack tip, the cohesive stress σ_facts upon the crack surfaces and resistscrack opening. Through a perturbation method i. e., by superposing the Mode-Iapplied force onto a referential uniform stress state, which has a trivial solution and gives no effect on the solution of the original problem, the nonlinear viscoelasticproblem is reduced to linear problem. For weak nonlinear materials, for which thepower-law index , the expressions of stress and crack surface displacement arederived. Then, the fracture process zone local energy criterion is proposed and basedon which the formulas of crucking incubation time t∗. and crack slow propagationvelocity a are derired.

EXACT SOLUTION FOR LAMINATED CONTINUOUSOPEN CYLINDRICAL SHELLS

盛宏玉;范家让

1997, 18(11):  1073-1086. 

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Discarding any assumption about displacement models and stress distribution andintroducing δ-function into the present study, we established the state equation for thecontinuous orthotropic open cylindrical shells. An thentical exocl solution is presentedfor the statics of thin. moderately thick and thick laminated continuous openrylindrical shells. Numerical results are obtained and compared with those calculatedusing SAP5.

SEPARATING COUPLED PHYSIC QUANTITY BYPOTENTIAL OPERATOR

张慎学

1997, 18(11):  1087-7092. 

摘要 ( 406 )   PDF (392KB) ( 264 )  

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In the present paper, using the method of separating coupled physic quantity bypotential operator, we derive two special minmum principles in coupled thermoelastodynamics.

OPTIMUM DESIGN OF ADHESIVE BONDING OFRESIN-BASE COMPOSITES

吴妙生;周祝林

1997, 18(11):  1093-1397. 

摘要 ( 355 )   PDF (383KB) ( 275 )  

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In this paper, based on the experimental and theoretical analysis, the primciple ofoptimum design for single lap joint of resin matrix, together with omposites ispresented the adhesive selection, the bonding length and the .hickness of the adhesivelayer and the adherend design. It is shown that by the optinum design the strength ofadhesive bonding is increased while the weight of the composites products is decreasedso that the quality of the products is improved.

AN EIGENVALUE METHOD ON GROUP DECISION

邱菀华

1997, 18(11):  1099-1104. 

摘要 ( 322 )   PDF (350KB) ( 655 )  

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In this paper. a new group decision eigenvalue method abbreviated as GEM isproposed. It overcomes the non-consistence of judgement matrix and will open up anew route for the selection of experts in the decision system.

THE FUNDAMENTAL EQUATIONS OF DYNAMICS USINGREPRESENTATION OF QUASI-COORDINATES IN THE SPACEOF NON-LINEAR NON-HOLONOMIC CONSTRAINTS

邱荣

1997, 18(11):  1105-1113. 

摘要 ( 267 )   PDF (454KB) ( 628 )  

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The dot product of the bases vectors on the super-surface of the non-linear nonholonomic constraints with one order, expressed by quasi-coorfinates, and Mishirskiiequalions are regarded as the fundamental equations of dynamics with non-linear andnon-holononlic constraints in one order for the system of the variable mass. From thesethe variant ddferential-equations of dynamics expressed by quasi-coordinates arederived. The fundamental equations of dynamics are compatible with the principle ofJourdain. A case is cited.

INTERPOLATION PERTURBATION METHOD FORSOLVING NONLINEAR PROBLEMS

袁镒吾

1997, 18(11):  1115-1123. 

摘要 ( 292 )   PDF (393KB) ( 350 )  

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In this paper, using the interpolation perturbation method. the author seeks tosolve several nonlinear problems. Numerical examples show that the method Df thispaper has good accuracy.