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Based on the series expansion technology in complex potential theory established by Muskhelishvili the complex stress functions can be estabished. By utilizing the continuity principle of the boundary condition and the characteristics of far field and according to the comparison of the coefficients of the terms on both sides of the equation with the same exponent the present problem can be transformed into solving of linear equation set.

根据Muskhelishvili复势理论的级数展开技术,构造了合适的各区复应力函数;然后,利用边界上位移、力的连续性条件和远场的性态,通过等式两边同次幂指数的系数比较,将问题转化为线性方程组的求解;结合叠加原理,获得混凝土在此情况下环向应力的解析解答。

Take the method of "subarea" and "conjunction" to segment the whole request model to three parts. Making use of boundary continuousness between medium and lining structure at stress and displacement, construct a wave function that can satisfy the stress boundary condition at horizontal surface by the scattering of SH-waves in circular part. And then, availing of the wave function, conjoin the circular part into the semi-circular hollow space at common boundary. The problem can be reduced to solve the question that can only meet the condition of "conjunction". Finally, the solution of the problem can be summarized to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.

采用"分区"与"契合"的方法,将整个求解区域分割成三部分,利用介质与衬砌结构在边界上的应力、位移的连续性,构造一个可以自动满足水平界面上应力边界条件的圆域对SH波散射的波函数;再利用这一波函数将圆域与半圆形凹陷半空间的"公共边界"进行"契合",将问题简化成对一个只需满足'契合'边界条件的散射问题的求解;最终归结为对一组无穷代数方程组的求解问题,利用截断有限项的方法对其进行计算。

Being based on the acknowledgement of continuum medium hypothesis, it has made an analysis of some general movements of macro material, which points out that there are a series non-consistence problems in logic in the Cauchy's stress theory and Stokes's stress hypothesis, etc.

除了指出 Cauchy 的两个应力定理, Stokes 应力假设等存在的逻辑不自洽问题,并产生的原因进行了系统分析以外,演绎地构造了连续介质物质模型严格假设下的完整形式表述体系,并且演绎地导得这个演绎体系必然导致三维物质流形,在三维 Euclid 空间中恒为超定。

Degree B-Spline curve is chosen to fit the longitudinal settlement curves, which solves the problem of curvature continuum for joint notes due to its continuous second derivative vector and overcomes the efficiency and accuracy of computing curvature with 3 points by hand.

选取三次B样条方法对隧道纵向累计沉降曲线进行拟合,利用三次B样条曲线二阶导矢连续的特性,解决了拟合曲线在曲线连接点处曲率的连续性问题,克服了以往人工计算隧道曲率半径在效率和准确性方面的缺陷;并在此基础上,推导了隧道纵向变形曲率与纵向螺栓拉应力、相对弯曲与纵向螺栓剪应力之间的关系; 3。

In this paper,the boundary singular kernel method in Reproducing Kernel Paicle Method has been applied to impose the essential boundary conditions in EFGM by revising the MLS shape function.The stress field and the displacement field are analysed by linear elastic theory.The contour integral method is used to calculate the J-integral,then the stress intensity factors of mixed-mode crack is acquired.The correctness and the validity of the method are validated.

本文将再生核质点方法中的边界奇异权方法引入EFGM中,通过对MLS形函数进行修正实现了本质边界条件在节点处的精确施加;运用线弹性断裂理论分析裂纹板的应力应变场,采用围线积分法计算J积分,给出了复合型裂纹板的应力强度因子的无网格伽辽金方法。

According to the elastic-plastic theory, the calculation method of tangential stress , radial stress of expansion casing both in elastic deformation area and in plastic deformation area is deduced and the minimum critical load between expansion core and casing was determined.

根据弹塑性的理论,推导了膨胀套管在弹性变形区和塑性变形区的周向应力和径向应力计算模型,确定了膨胀套管膨胀时在膨胀芯头与套管之间所需的最小接触载荷。

In order to study the effect of Coriolis acceleration on the natural frequency and dynamic stress of high spinning steam turbine blades, a computational model of Coriolis force and dynamic stress induced by Coriolis acceleration in blades is presented using analytic method.

该模型克服了以往在叶片动态特性分析时难以考虑科氏力影响的问题,导出了科氏动应力和非稳态气流动应力比值的计算公式以及科氏力和离心力比值的计算公式,并进行了实例分析。

A novel structure of Corrugated pipe diaphragm pump is proposed. A model of corrugate pipe is built base on the prototype used in ShenHua coal-to-oil conversion technology experimental base. The distribution of stress in the corrugated pipe diaphragm is analyised using COSMOS/Works finite element simulation.

提出了一种采用波纹管隔膜取代平板隔膜的新型隔膜泵;以某煤制油中试基地试验样机的波纹管隔膜为例,建立了波纹管隔膜计算模型,应用COSMOS/Works有限元软件计算了波纹管隔膜工作应力并分析了其应力分布规律。

The results show that soil-root complex still comply with Coulomb's law; root-soil complex cohesion and the incremen in the unit soil content directly proportional relationship, and the root system anchoring role formula is established based on this; Different distribution methods in root has different impact on the shear strength of composite material.

最后,通过有限元分析表明,草根的作用,能够降低浅层土体中的应力水平,即草根能改变浅层土体的应力应变状态;草根增加了浅层土体的粘聚力,对边坡的稳定是有利的。

It is verified that the most dangerous operation condition of crankshaft is not happening at the upper point of gas re-inlet or while the crankpin is bearing a maximum force of gas.

目前已有很多文献运用有限元法得到圆角、油孔等应力集中部位的精确应力值,以此分析曲轴的静强度,但是它们都存在一些

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