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弹性平面问题
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  elastic plane problem
     COMPLEX VARIABLE-VARIATIONAL METHOD──THE NEW METHOD FOR ELASTIC PLANE PROBLEM
     复变-变分方法──弹性平面问题的一个新方法
短句来源
     Methods of Finding Special Solution for Elastic Plane Problem
     弹性平面问题求特解的方法及应用
短句来源
     Based on the polynomial analytical solution of elastic plane problem , a new qusi-conformedplane quadrilateral element which is named AQCE element is presented.
     基于弹性平面问题的多项式解析解,构造出一种新的拟协调平面四边形单元──AQCE单元。
短句来源
     This paper discusses representation of displacement by strain or stress in the elastic plane problem, in other words,displacement is directly calculated by strain or stress,therefore this need not use three geometry equations and continuity equation.
     本文讨论弹性平面问题利用应变或应力表示位移的直接表达式,即由应变或应力直接计算出位移,不必再通过三个几何方程及连续方程;
短句来源
     The methods of finding special solution of displacement and stress for elastic plane problem are given for non even limens ion displacement method and stress function method respectively, and the problem are transformed into even dimension. Several concrete special solutions and applications are included.
     对弹性平面问题分别用位移法和应力函数给出了求位移特解和应力特解的方法 ,从而可将非齐次问题转化为齐次问题来处理 ,并给出了若干具体特解及应用
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  elastic plane problems
     BEM for analysis of elastic plane problems with reinforced ribs
     边界元法分析具有加强筋的弹性平面问题
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     The Calculation of the MultipIy-Connected Elastic Plane Problems by Means of Stress Functions of Multiple Complex Variables
     用多复变量应力函数计算任意多连通弹性平面问题
短句来源
     An approximation algorithm for stress intensity factors of elastic plane problems
     弹性平面问题应力强度因子的近似求解方法
短句来源
  “弹性平面问题”译为未确定词的双语例句
     Basic Equations of Complex Variable Method for Plane Problem of Elasticity
     弹性平面问题复变方法的基本方程
短句来源
     Functions of Complex Variable Boundary Collocation Point Method for Plane Prolem of Elastic Theory
     弹性平面问题的复变函数边界配点法
短句来源
     The problem of orthotropic elastic plane with arbitrary cracks
     具任意裂纹的正交各向异性弹性平面问题
短句来源
     The Displacement Function in the Plane Problem of Elasticity Theory
     弹性平面问题中的位移函数
短句来源
     A New Element Stress Method for Solving Elastic Plane
     求解弹性平面问题新的有限元应力法
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  elastic plane problem
The fundamental equations in finite element method of coupled thermo-elastic plane problem
      
The fundamental equations in finite element method for unsteady temperature field elastic plane problem are derived on the bases of variational principle of coupled thermoelastic problems.
      
Coordinates of principal stresses for elastic plane problem
      
Boundary integral formulas for elastic plane problem of exterior circular domain
      
It shows that the boundary integral formula of the stress function is convenient to be used for solving the elastic plane problem of exterior circular domain.
      
  elastic plane problems
Solving elastic plane problems involving the effect of Lorentz forces on conductors carrying a uniform current
      
The calculation of the multiply-connected elastic plane problems by means of stress functions of multiple complex variables
      
Non-singular fictitious boundary integral equations for orthotropic elastic plane problems were deduced according to boundary conditions by the techniques of singular-points-outside-domain.
      


The fundamental equations in finite element method for unsteady temperature field elastic plane problem are derived on the bases of variational principle of coupled ther-moelastic problems. In these derivations, elastic plane is divided into three nodes triangular elements, and time interval is divided into linear time elements, in which all the variables, including displacements and temperatures at various nodal points, are varied linearly with time. Two coupled sets of linear algebraic equations of all the...

The fundamental equations in finite element method for unsteady temperature field elastic plane problem are derived on the bases of variational principle of coupled ther-moelastic problems. In these derivations, elastic plane is divided into three nodes triangular elements, and time interval is divided into linear time elements, in which all the variables, including displacements and temperatures at various nodal points, are varied linearly with time. Two coupled sets of linear algebraic equations of all the unknown displacements and temperatures at every nodal point in every instant (i. e. the terminal values of time elements) are obtained. They are the fundamental equations of the said problem.

本文在耦合热弹性问题变分原理的基础上,导出非定常温度场热弹性平面问题的有限元法基本方程。推导中,弹性平面划分为三节点三角形单元,时间过程划分为时间元,时间元中各变量(节点的位移和温度)随时间作线性变化。得出以各节点在每个瞬时(时间元的端点)的位移和温度为待定值的两组耦合的线性代数方程组,即基本方程.

This paper presents an expression of free energy φ(eij, θ), where the tempeature increment θ is considered as a great value and the material properties are assumed to vary with temperature.

在讨论耦合热弹性问题的变分原理的一些著作中,以弹性应变eij和温度变化值θ为状态参数的自由能φ(e_(ij),θ)为φ(eij,θ)=(λ/2) e_(Kh)e_(ll)+μe_(Kl)e_(Kl)-γe_(KX)θ-(c/2)ρ(θ~2/T_0) (1) 自由能的这一表达式只适用于|θ|《To(绝对参考温度)的情况。在热冲击弹性问题中,温度变化值θ很大,甚至可以大过To。同时,材料常数(λ,μ,γ,c等)随θ而发生变化,不再保持为常数。就这种情况,本文导出自由能的表达式。(1)式则为其特殊情况。将自由能的这一表达式引入变分原理,其欧拉方程将成为非线性。为了线性化,将热冲击作用的时间过程划分为若干个足够小的时间元Δt_K (Δt_K=t_K-t_(K-1)),在Δt_K中,温度变化θ_K很小,材料常数由瞬时t_(K-1)的温度场T_(K-1)=T(x_1,x_2,x_3,t_(K-1))确定。自由能φ_K可近似地采用(1)式的形式,从而得到变分原理的分段近似表达。然后,在Δt_k内应用有限元法处理弹性平面问题,得到耦合的线性代数方程组。整个热冲击过程可通过求解这一系列的耦合线性代数方程组来解决。

This paper present a new method for forming isoparametric elements- Isoparametric Quasi-Conforming Method. It can include con forming elements and non-conforming elements of the isoparametric elements. Then the method avoided the possible mistakes resulted in non-conforming elements. The ele- ments are simple and easy in structure. The feature of high-precision of some non-conforming elements is preserved. Using nodal parameters and generalizaed parameters in the generalized co- ordinate of the element, quasi-conforming...

This paper present a new method for forming isoparametric elements- Isoparametric Quasi-Conforming Method. It can include con forming elements and non-conforming elements of the isoparametric elements. Then the method avoided the possible mistakes resulted in non-conforming elements. The ele- ments are simple and easy in structure. The feature of high-precision of some non-conforming elements is preserved. Using nodal parameters and generalizaed parameters in the generalized co- ordinate of the element, quasi-conforming element implements interpolation of the strain in the element, without forming the displacement function of the e- lement. Because the functions in the isoparametric coordinates possesses seyeral s- pecial features, interpolation of the strain satisfies some poculiar requiraments easily. In this paper, Qc5 an d Qc6, two kinds of the quadrilateral isoparametric quasi-conforming elements of two dimensional elastic problems have been de- rived by Quasi-Conforming Method. And numerical results have been compa- red between them and existing quadrilateral isoparametric element Q4, Q6, QM5, Qp6.

本文提出一种建立等参元的新方法一等参拟协调元方法。它可以概括等参元中的协调元和非协调元,尤其是避免了非协调元可能出现的错误。单元的构造简单、灵活,并保持了某些非协调元精度高的优点。 本文按拟协调元方法推出了弹性平面问题中的二种新型四边形拟协调等参。Qe5,Qe6,并且用数值结果与已有的四边形等参元Q4,Q6,QM6,QP6的结果作了比较,还进一步推出了这两个单元的单元函数。

 
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