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弹性平面
相关语句
  elastic plane
    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
    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
    The Fundamental Problem of the Isotropic Elastic Plane with Vertical Cracks
    具正交裂纹的弹性平面基本问题
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
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
更多       
  plane elasticity
    Plane Elasticity Sectorial Donain and the Hamiltonian System
    弹性平面扇形域问题及哈密顿体系
短句来源
    The problem of orthotropic elastic plane with arbitrary cracks is discussed by complex variable methods in plane elasticity. The problem is reduced to solve an integral equation by a special transformation, as an example,the solution is given for the problem of orthotropic elastic plane with a straight line crack.
    利用平面弹性复变方法,讨论具任意裂纹的正交各向异性材料弹性平面问题,通过一个巧妙的积分变换,将问题转化为求解一积分方程,并对具一直线段裂纹的情况给出解答.
短句来源
    The radial coordinate is simulated as the time coordinate, the governing equations of plane elasticity in sec -torial domain are transformed into Hamiltonian form via variable substitutes and variational principles.
    对弹性平面扇形域问题,将径向坐标模拟成时间坐标,通过适当的变换,将扇形域问题导向哈密尔顿体系。
短句来源
    From the Hamiltonian governing equations of plane elasticity for sectorial domain, the variable separation and eigenfunction expansion techniques are employed to formulate two circular singular hyper-analytical-elements. The two hyper-analytical-elements give a precise description of the mode Ⅱ elastic crack tip field and mode Ⅱ Dugdale crack tip field respectively.
    利用弹性平面扇形域哈密顿体系的方程,通过分离变量法及共轭辛本征函数向量展开法,推导了两个圆形奇异超级解析单元列式,这两个超级单元能够分别准确地描述 型弹性平面裂纹尖端场和 型Dugdale模型平面裂纹尖端场.
短句来源
    Based on the Hamiltonian governing equations of plane elasticity for sectorial domain, the variable separation and eigenfunction expansion techniques are employed to formulate a circular singular analytical element. The analytical element gives a precise description of the displacement and stress fields in the vicinity of plane crack tip for the plane crack problem.
    利用弹性平面扇形域哈密顿体系的方程,通过分离变量法及共轭辛本征函数向量展开法,推导了一个圆形奇异解析单元列式,该单元能准确地描述平面裂纹尖端场。
短句来源
  elastic planar
    THE STATE EQUATION AND TRIANGULAR FUNCTIONAL SOLUTION OF FIXED ARCH IN ELASTIC PLANAR PROBLEM
    弹性平面问题中固支拱的状态方程及其三角函数解
短句来源
  “弹性平面”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
    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
    STRESS-STRAIN ANALYSIS OF NONLINEARLY ELASTIC STRVCTURE OF BARS
    非线弹性平面杆系的应力应变分析
短句来源
    A group of analytical solutions for the displacement of nonlinear elasticity plane
    非线性弹性平面位移问题的一组解析解
短句来源
    Unconventional Hamilton-type Variational Principles for Elastodynamics of Piezoelectric Plane Problem
    压电弹性平面问题动力学非传统Hamilton型变分原理
短句来源
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  elastic plane
The equilibrium problem for the infinite elastic plane consisting of two different media with many cracks on the interface is discussed.
      
Solving elastic plane problems involving the effect of Lorentz forces on conductors carrying a uniform current
      
Green's functions for a two-phase infinite magneto-electro-elastic plane
      
On the fundamental problem for an infinite elastic plane bonded by different anisotropic materials with cracks
      
In this paper, the first fundamental problem for an infinite elastic plane bonded by different anisotropic materials with cracks of arbitrary shape is discussed.
      
更多          
  plane elasticity
In this paper the plane elasticity problem for a functionally graded interfacial zone containing a crack between two dissimilar homogeneous materials has been considered.
      
Operator method for solving the plane elasticity problem for a strip with periodic cuts
      
For the domain D, in the orthogonal system of isometric coordinates u, v, we solve the plane elasticity problem.
      
We consider the plane elasticity problem on the interaction of two close identical holes under biaxial loading conditions at infinity.
      
On the numerical solution of integral equations for some main problems in plane elasticity
      
更多          
  elastic planar
Dynamics analysis of linear elastic planar mechanisms
      


This paper proposes a method for analyzing the nature of singularity at an elastic crack-tip. According to the Muskhelishvili's exact solution of an elastic elliptical hole, the variations of the stress fields of different crack-tips are determined as the tip of the elliptic-crack model changing from a blunt tip to a sharp tip. The stress field at the blunt tip is represented by a function of several variables. The different limits of this function describe the nature of singularity at the crack-tip. With...

This paper proposes a method for analyzing the nature of singularity at an elastic crack-tip. According to the Muskhelishvili's exact solution of an elastic elliptical hole, the variations of the stress fields of different crack-tips are determined as the tip of the elliptic-crack model changing from a blunt tip to a sharp tip. The stress field at the blunt tip is represented by a function of several variables. The different limits of this function describe the nature of singularity at the crack-tip. With this method, the states of stresses and boundary conditions both at the blunt crack-tip and sharp crack-tip are discussed. In this paper, time stresses at the crack-tip are divided into two different kinds: i. e. intrinsic stress and approaching stress. The intrinsic stress is the stress that satisfies all the boundary conditions, while the approaching stress is tile stress that approaches to the crack-tip during the process of degenerating from an elliptic crack to a crack with Sharp tip. By use of the concept of intrinsic stress and approaching stress, the nature of the singularity of the stress field at the crack-tip can be analyzed, and the cause for the formation of tie "Sub-crack" during the blunting process of the sharp tip can be explained.

本文由弹性平面椭圆孔的精确解出发,用一个椭圆裂纹模型(钝角裂纹模型)退化到无限细裂纹(尖角裂纹模型)的方法讨论了平面裂纹尖端应力场的奇异性质。文中将裂纹尖端附近的应力场表达为一个多变量函数。然后,由各种不同的途径趋向裂纹尖点,从而求得了多重极限。分析表明,这一多变量函数的全面极限并不存在,而多重极限是存在的,但是各不相等。由这些多重极限的变化可以将裂纹尖点的应力分为两种类型:固有应力和趋近应力。其中固有应力是椭圆裂纹模型尖端处固有的应力,这些应力全部满足边界条件;趋近应力是当椭圆裂纹退化到无限细裂纹时所产生的应力场。由趋近应力和固有应力的变化就可以说明裂纹尖点应力场的奇异性质,并可解释“次裂纹”形成的原因。 本文根据对裂纹尖端应力场奇异性质的分析结果讨论了Westergaard-Irwin应力强度因子理论的近似性和局限性,并为应用钝角裂纹模型建立起来的广义应力强度因子理论[9]的裂纹尖端应力场计算提供了一种分析方法。

This paper deals with scattering of elastic wave by two arbirary cavities and thier stress concentrations in an infinite solid in plane strian attacked from plane homonic pressure wave. The total scattering waves from some cavities of arbitrary shape are expressed as a sum of the scattering waves from each cavity in the form of Hankel-Fourier series, consisting of appropiate wave functions with unknown coefficients (ank, bnk) with respect to its own local coordinate (rR, θR)k = 1, 2,....m)where Hn is Hankel...

This paper deals with scattering of elastic wave by two arbirary cavities and thier stress concentrations in an infinite solid in plane strian attacked from plane homonic pressure wave. The total scattering waves from some cavities of arbitrary shape are expressed as a sum of the scattering waves from each cavity in the form of Hankel-Fourier series, consisting of appropiate wave functions with unknown coefficients (ank, bnk) with respect to its own local coordinate (rR, θR)k = 1, 2,....m)where Hn is Hankel function. The stress tensor of scattered wave's from a cavity is produced on its local polar coordinate system in terms of displacement-potential and strain-displacement relations as well as Hooke's law. the tatal stress tensor issum of dyadics of thierswhere (?)k differential operator on k th coordinate.By means of geometric of two local coor,dinates,the stress components of a local coordinate are translated into ones of anather local coordinate with the aid of coordinate transformation. Note that no addition formula of Hankel function is used overthere. The total stress tensor in each local coordinate is constructed by summing up the stress components of the same local coordinate produced by scattering waves of two arbitrary cavities.Thus, the stress of incident wave on the boundaries of the cavities can be obtained in the same way.On each cavity suface Sk (rk, θk)=0, the normal vector cosines (cosβk, sinβk) where Kijkq are stress components on kth caviy boundary of scattering wave function of g the cavity Hn ( rq) eins q.At last, 19 numerical examples are given in this paper. Figures of principal stress distribution are drawn off overthere. Georaitric parameters and incident wave numbers of these examples are given in following table.

本文利用非正交展开法处理了无限弹性平面内任意形状双孔对稳态压缩波的散射及其动应力集中问题。文中采用各孔局部极坐标的赫姆霍兹方程的解表示其散射波。全部散射波及其位移、应力场,由各局部坐标中的场,经过坐标变换迭加而成。各波函数的待定系数由边界条件的非正交展开法得到的无穷代数方程组确定。最后求出各孔边上的动应力集中系数。文中给出了椭圆形和圆形七种不同组合的双孔,在不同入射波长下十九个计算实例的应力集中分布图。

This paper present a finite element method for elasticity with different moduli by means of a two-dimensional elastic example with different moduli of elasticity in tension and compression.It points out that the differences between the present method and the method for the identical modulus of elasticity are mainly the differences of the matrices of elasticity [D] as well as the trying methods in numerical calculation. Three concrete examples are given for indicating the effects because of the different moduli...

This paper present a finite element method for elasticity with different moduli by means of a two-dimensional elastic example with different moduli of elasticity in tension and compression.It points out that the differences between the present method and the method for the identical modulus of elasticity are mainly the differences of the matrices of elasticity [D] as well as the trying methods in numerical calculation. Three concrete examples are given for indicating the effects because of the different moduli of elasticity, while the comparison between the results obtained from the finite element methods with different and identical moduli of elasticity are given too. It demonstrates that owing to the new materials such as glass fibre reinforced plastic, ceramic, plastic,rock,concrete and some special materials of metal having the properties of different moduli of elasticity in tension and compression, these properties show certainly the mechanical influernces to engineering structures.

本文以不同模量弹性平面问题为例,提出了不同模量弹性力学的有限元法,并指出此法与相同模量的有限元法的异同之处。根本不同点在于不同的弹性矩阵[D]和数值计算的试算法。本文还通过三个具体算例说明不同模量的影响,并与相同模量的有限元法结果加以比较,从中看出新型材料——玻璃钢、陶瓷、塑料、岩石、混凝土,某些特种金属材料等的不同模量性对其工程结构的力学影响。

 
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