半无限横观各向同性体中共面双裂纹边界元分析

基于双横观各向同性材料基本解的对偶边界元方法,分析了半无限横观各向同性材料中两条共面裂纹的相互作用问题。裂纹面上分别作用着法向和切向两种均布荷载,材料的各向同性面及裂纹面平行于半无限域自由面。数值计算得到了该类裂纹的应力强度因子(SIF)值和两条共面裂纹相互作用的SIF值影响系数。根据数值结果分析了自由面对该类裂纹SIF值的影响,以及裂纹间距与形状、自由面对SIF值影响系数的影响。结果表明,自由面对作用法向力时的该类裂纹SIF值有明显的影响,裂纹间距与形状对SIF值影响系数影响较大,但自由面对SIF值影响系数基本无影响。     

Propagation of Love waves in non-homogeneous substratum over initially stressed heterogeneous half-space

The paper studies the propagation of Love waves in a non-homogeneous substratum over an initially stressed heterogeneous half-space. The dispersion equation of phase velocity is derived. The velocities of Love waves are calculated numerically as a function of kH and presented in a number of graphs, where k is the wave number, and H is the thickness of the layer. The case of Gibson’s half-space is also considered. It is observed that the speed of Love waves is finite in the vicinity of the surface of the half-space and vanishes as the depth increases for a particular wave number. It is also observed that an increase in compressive initial stresses causes decreases of Love waves velocity for the same frequency, and the tensile initial stress of small magnitude in the half-space causes increase of the velocity.     

Surface waves generated by a line load on a half-space with depth-dependent properties

The reciprocity theorem of elastodynamics is used in this paper to determine the surface waves that are radiated from a time-harmonic line load applied at the surface of a solid body, whose elastic moduli and mass density depend on the distance from the surface. In a high-frequency approximation, the surface wave velocity and expressions for the displacement and stresses of free surface waves are employed in the reciprocity theorem. The general expressions for the surface wave radiated by the oscillating line load, together with a virtual free surface wave, when employed in the reciprocity theorem, yield relatively simple expressions for the amplitude factor of the radiated surface wave. Results show the amplitude factor as a function of the wavenumber.     

考虑棱边散射的半空间复杂导体目标高频分析方法

研究了半空间内复杂导体目标棱边散射的高频求解方法.分析半空间电磁波的传播规律和复杂目标棱边的电磁散射特性,将半空间并矢格林函数引入等效电磁流方法中,给出了基于等效电磁流法和物理绕射理论的半空间棱边散射场计算式,同时结合图形电磁学,对半空间复杂目标进行消隐处理,判断目标的棱边像素及获得棱边参数,与半空间目标的面元散射场相叠加,快速有效地计算了半空间复杂目标的雷达散射截面.数值结果证明了方法的有效性和准确性. 关键词： 半空间等效电磁流方法 半空间并矢格林函数 图形电磁学 雷达散射截面     

An approach to solving the stress problem of elasticity

It is shown that three equilibrium equations and three stress compatibility equations are sufficient to solve the stress problem of elasticity __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 7, pp. 23–28, July 2006.     

Solution of the Three-Dimensional Thermoelastic Problem in Stresses

A method is proposed for constructing a general solution to the three-dimensional thermoelastic equations in stresses (compatibility conditions and equilibrium equations). This general solution is valid for both an elastic half-space and an elastic layer. The second thermoelastic boundary-value problem for a half-space is studied in detail as an example     

Love waves in a layer on a regularly laminated half-space

We theoretically study the existence conditions for Love waves in a layer with arbitrary thickness and arbitrary physical and mechanical properties on a regularly laminated half-space. Also we analyze the behavior of the dispersion curves depending on the physical and geometrical properties of the layer and the mechanical properties of the upper layer of the half-space. It is demonstrated that the behavior of the spectrum and the ranges of surface waves can efficiently be controlled by varying the thickness of the layer.Translated from Prikladnaya Mekhanika, Vol. 40, No. 9, pp. 131–136, September 2004.     

弹性半空间地基上的矩形板

分析和计算了性半空间地基上四边自由矩形板的动力和静力问题，把地基看作三维性半空间体，考虑地基的衰减变形，假定地基与板之间完全粘着摩擦接解，用能量变分析理导出了一般方程，并作了数值算例，还分析了相刚度对动力和静力性能的影响。     

半空间弹性波双参数强非线性逆散射

半空间弹性波强散射源逆问题是一个实用而又难度很大的强非线性问题,而经典的Born迭代方法只适用于弱非线性问题．基于DBI方法（Distorted-Born Iterative方法）,提出了一种求解弹性波强非线性逆散射问题的迭代方法．在数值模拟运算时利用矩量法进行离散处理,并采用正则化原则避免求解病态矩阵方程。计算结果表明该方法具有较快的收敛速度及较高的精度。     

The illustration calculations of second order effects in elastic half-space acted upon by a non-uniform shear load

I.IllustrationsThegeneralsolutionofsecondordereffectsinelastichalfspaceacteduponbyanon-uniformshearloadpresentedbypaperIl]areapplicableforallvalueof6>-l,butareverycomplicated.Asani1lustrationofthemethodwegivebelowthelinearandsecondordersolutionsfor8=l/2.T…