THE INTERACTION OF PLANE SH－WAVES AND NON－CIRCULAR CAVITY SURFACED WITH LINING IN ANISOTROPIC MEDIA

ＴＨＥＩＮＴＥＲＡＣＴＩＯＮＯＦＰＬＡＮＥＳＨ－ＷＡＶＥＳＡＮＤＮＯＮ－ＣＩＲＣＵＬＡＲＣＡＶＩＴＹＳＵＲＦＡＣＥＤＷＩＴＨＬＩＮＩＮＧＩＮＡＮＩＳＯＴＲＯＰＩＣＭＥＤＩＡＳｈｉＳｈｏｕｘｉａ（史守峡）；ＨａｎＦｅｎｇ（韩峰）；ＷａｎｇＺｈｅｎｑｉｎ...     

FINITE ELEMENT ANALYSIS FOR THE UNSTEADY NEARSHORE CIRCULATION DUE TO WAVE－CURRENT INTERACTION（II）──TWO－STEP EXPLICIT FINITE ELEMENT METHOD

ＦＩＮＩＴＥＥＬＥＭＥＮＴＡＮＡＬＹＳＩＳＦＯＲＴＨＥＵＮＳＴＥＡＤＹＮＥＡＲＳＨＯＲＥＣＩＲＣＵＬＡＴＩＯＮＤＵＥＴＯＷＡＶＥ－ＣＵＲＲＥＮＴＩＮＴＥＲＡＣＴＩＯＮ（ＩＩ）──ＴＷＯ－ＳＴＥＰＥＸＰＬＩＣＩＴＦＩＮＩＴＥＥＬＥＭＥＮＴＭＥＴＨＯＤＷ...     

Free bending vibration of annular cylindrical tank partially filled with liquid in the consideration of surface wave

ＦＲＥＥＢＥＮＤＩＮＧＶＩＢＲＡＴＩＯＮＯＦＡＮＮＵＬＡＲＣＹＬＩＮＤＲＩＣＡＬＴＡＮＫＰＡＲＴＩＡＬＬＹＦＩＬＬＥＤＷＩＴＨＬＩＱＵＩＤＩＮＴＨＥＣＯＮＳＩＤＥＲＡＴＩＯＮＯＦＳＵＲＦＡＣＥＷＡＶＥＺｈｏｕＤｉｎｇ（周叮）（ＮａｎｊｉｎｇＵｎｉｖｅ...     

ACTUATION OF SLOSHING MODULATED FORCE AND MOMENT ON LIQUID CONTAINER DRIVEN BY JITTER ACCELERATIONS ASSOCIATED WITH SIEW MOTION IN MICROGRAVITY

ＡＣＴＵＡＴＩＯＮＯＦＳＬＯＳＨＩＮＧＭＯＤＵＬＡＴＥＤＦＯＲＣＥＡＮＤＭＯＭＥＮＴＯＮＬＩＱＵＩＤＣＯＮＴＡＩＮＥＲＤＲＩＶＥＮＢＹＪＩＴＴＥＲＡＣＣＥＬＥＲＡＴＩＯＮＳＡＳＳＯＣＩＡＴＥＤＷＩＴＨＳＩＥＷＭＯＴＩＯＮＩＮＭＩＣＲＯＧＲＡＶＩＴＹＲ...     

FINITE ELEMENTAN ALYSIS FOR THE UNSTEADY NEARSHORECIR CULATION DUE TO WAVE－CURRENT INTER－ACTION（I）──NUMERICAL MODEL

ＦＩＮＩＴＥＥＬＥＭＥＮＴＡＮＡＬＹＳＩＳＦＯＲＴＨＥＵＮＳＴＥＡＤＹＮＥＡＲＳＨＯＲＥＣＩＲＣＵＬＡＴＩＯＮＤＵＥＴＯＷＡＶＥ－ＣＵＲＲＥＮＴＩＮＴＥＲ－ＡＣＴＩＯＮ（Ｉ）——ＮＵＭＥＲＩＣＡＬＭＯＤＥＬＷｕＷｅｉ－ｘｉｏｎｇ（吴伟雄）（Ｔｏｎｇｊ...     

A GENERAL FREQUENCY DEPENDENT DIGITAL OPTIMAL PREVIEW SERVO SYSTEM

ＡＧＥＮＥＲＡＬＦＲＥＱＵＥＮＣＹＤＥＰＥＮＤＥＮＴＤＩＧＩＴＡＬＯＰＴＩＭＡＬＰＲＥＶＩＥＷＳＥＲＶＯＳＹＳＴＥＭＡＧＥＮＥＲＡＬＦＲＥＱＵＥＮＣＹＤＥＰＥＮＤＥＮＴＤＩＧＩＴＡＬＯＰＴＩＭＡＬＰＲＥＶＩＥＷＳＥＲＶＯＳＹＳＴＥＭ￥ＬｉａｏＦｕｃｈ...     

AN ANALYTICAL SOLUTION OF TRANSVERSE VIBRATION OF RECTANGULAR PLATES SIMPLY SUPPORTED AT TWO OPPOSITE EDGES WITH ARBITRARY NUMBER OF ELASTIC LINE SUPPORTS IN ONE WAY

ＡＮＡＮＡＬＹＴＩＣＡＬＳＯＬＵＴＩＯＮＯＦＴＲＡＮＳＶＥＲＳＥＶＩＢＲＡＴＩＯＮＯＦＲＥＣＴＡＮＧＵＬＡＲＰＬＡＴＥＳＳＩＭＰＬＹＳＵＰＰＯＲＴＥＤＡＴＴＷＯＯＰＰＯＳＩＴＥＥＤＧＥＳＷＩＴＨＡＲＢＩＴＲＡＲＹＮＵＭＢＥＲＯＦＥＬＡＳＴＩＣＬＩＮＥ...     

APPROXIMATION THEORY OF THREE DIMENSIONAL ELASTIC PLATES AND ITS BOUNDARY CONDITIONS WITHOUT USING KIRCHHOFF－LOVE ASSUMPTIONS

ＡＰＰＲＯＸＩＭＡＴＩＯＮＴＨＥＯＲＹＯＦＴＨＲＥＥＤＩＭＥＮＳＩＯＮＡＬＥＬＡＳＴＩＣＰＬＡＴＥＳＡＮＤＩＴＳＢＯＵＮＤＡＲＹＣＯＮＤＩＴＩＯＮＳＷＩＴＨＯＵＴＵＳＩＮＧＫＩＲＣＨＨＯＦＦ－ＬＯＶＥＡＳＳＵＭＰＴＩＯＮＳＣｈｉｅｎＷｅｉ－ｚａｎｇ（...     

Iterative construction of fixed points for multivalued operators of the monotone type in uniformly smooth Banach spaces

ＩＴＥＲＡＴＩＶＥＣＯＮＳＴＲＵＣＴＩＯＮＯＦＦＩＸＥＤＰＯＩＮＴＳＦＯＲＭＵＬＴＩＶＡＬＵＥＤＯＰＥＲＡＴＯＲＳＯＦＴＨＥＭＯＮＯＴＯＮＥＴＹＰＥＩＮＵＮＩＦＯＲＭＬＹＳＭＯＯＴＨＢＡＮＡＣＨＳＰＡＣＥＳＤｅｎｇＬｅｉ（邓磊）（ＣｈｏｎｇｑｉｎｇＴ...     

TWO－PHASE FLOW FOR A HORIZONTAL WELL PENETRATING A NATURALLY FRACTURED RESERVOIR WITH EDGE WATER INJECTION

ＴＷＯ－ＰＨＡＳＥＦＬＯＷＦＯＲＡＨＯＲＩＺＯＮＴＡＬＷＥＬＬＰＥＮＥＴＲＡＴＩＮＧＡＮＡＴＵＲＡＬＬＹＦＲＡＣＴＵＲＥＤＲＥＳＥＲＶＯＩＲＷＩＴＨＥＤＧＥＷＡＴＥＲＩＮＪＥＣＴＩＯＮＧｕｏＤａｌｉ（郭大立）ＬｉｕＣｉｑｕｎ（刘慈群）（Ｒｅｃｅｉｖｃ...     

The interaction of plane SH-waves and circular cavity surfaced with lining in anisotropic media

In this paper, we use the complex function method for solving the problem of interaction of plane SH-waves and circular cavity surfaced with lining in anisotropic media. Anisotropic media can be used to simulate the conditions of the geology. This problem can be handled by using the method similar to that incorporated in Ref. [5] to define the scattering waves in media, added with the given boundary condition of the circular cavity. In this paper, as illustrated in the examples, the results and discussions of numerical studies have been done for the interaction of plane SH-waves and two kinds of circular cavities, surfaced with lining made up of different materials, in anisotropic media.     

界面上圆形衬砌结构对平面SH波散射

研究界面上的圆形衬砌结构对平面SH波散射与动应力集中问题.在一个含有半圆形衬砌缺口的弹性半空间水平面上,Green函数是受时间谐和的出平面线源载荷作用的位移基本解.采用沿界面“剖分”圆形衬砌结构的方法,并利用界面连续性条件建立起问题的定解积分方程组,进而得到圆形衬砌上的动应力集中解.最后给出了关于界面圆形衬砌结构上动应力集中系数的数值结果,并对界面圆形衬砌结构的动应力集中系数的影响进行了讨论.     

SH波入射半空间双相介质界面附近圆形衬砌的动力分析

利用复变函数和Green函数法研究了无限半空间中双相介质界面附近圆形衬砌对SH波的散射与动应力集中问题。该问题的解答采用镜像法,首先构造出含有圆形衬砌的直角平面区域出平面问题的Green函数,然后利用“契合”技术,并根据界面处位移连续性条件将解答归结为具有弱奇异性的第一类Fredholm积分方程组的求解,结合散射波的衰减特性,直接离散该方程组,把积分方程组转化为线性代数方程组可得到该问题的数值结果。最后,通过算例分析了不同介质参数、几何参数和入射波时圆形衬砌界面的动应力集中情况。     

各向异性介质中SH波引起的圆孔附近的动应力集中

本文利用复变函数方法求解无限的各向异性介质中入射的SH波对圆形孔洞的散射问题,指出动应力集中系数与入射波波数K_σ和圆孔半径r有关,最后给出了圆孔附近动应力集中系数的数值结果。     

SH波对直角平面区域内圆形衬砌的散射与地震动

研究了以任意方向入射的平面SH 波对直角平面区域内圆形衬砌的散射与地震动问题．利用复变函数法、多极坐标移动技术及镜像法,将直角平面区域内的波场延拓于半无限空间,根据边界条件将该问题的解答可归结为对一组无穷代数方程组的求解问题,通过算例考虑衬砌的动应力集中和地表位移．结果表明,衬砌的动应力集中和地表位移幅值取决于入射波频率、角度、衬砌的位置和厚度比．     

SH波对双相介质界面附近圆形孔洞的散射

建立了求解平面SH波对双相介质界面附近圆形孔洞散射与动应力集中的一种分析方法．利用复变函数与多极坐标的方法构造了一个Green函数，它是在含有圆形孔洞的弹性半空间的水平面上任一点上作用时间谐和的出平面线源荷载的位移解．利用“契合”模型，并根据界面上位移连续性条件，建立了求解SH波对双相介质界面附近圆形孔洞散射的具有弱奇异性的第一类Fredholm型积分方程．给出了圆孔周边上动应力集中系数的表达式．作为算例，分析了在界面一侧或界面两侧附近具有圆形孔洞时SH波的散射，并讨论了入射波波数、不同的材料组合以及孔心至界面的距离对动应力集中的影响．     

Applications of the method of complex functions to dynamic stress concentrations

The complex function method used in the solution of static stress concentration around an irregularly shaped cavity in an infinite elastic plane is generalized to the case of dynamic loading. This paper presents the solutions of two dimensional elastic wave equations in terms of complex wave functions, and general expressions for boundary conditions for steady state incident waves. Dynamic stresses around a cavity of arbitrary shape are then expressed in series of complex ‘domain functions’, the coefficient of the series can be determined by truncating a set of infinite algebraic equations. Results of dynamic stress concentration factors for circular and elliptical cavities are given in this paper.     

直角平面角点衬砌对稳态平面SH波的散射

利用波函数展开法求解了二维直角平面角点处圆弧形衬砌对稳态入射平面SH波的散射问题,得到问题的解析解．方法是首先构造出衬砌介质内外的总波场,它们能够预先满足直角平面两直角边界应力自由条件；再利用衬砌边界处的应力和位移连续条件写出确定散射波解中未知系数的方程组并求解．通过算例具体讨论了衬砌内边界处的环向应力集中系数和位移幅度比随无量纲波数、入射角的变化情况,结果表明它们存在不同程度的放大现象．     

Scattering of SH-waves by an interacting interface linear crack and a circular cavity near bimaterial interface

An analytical method is developed for scattering of SH-waves and dynamic stress concentration by an interacting interface crack and a circular cavity near bimaterial interface. A suitable Green‘s function is contructed, which is the fundamental solution of the displacement field for an elastic half space with a circular cavity impacted by an out-plane harmonic line source loading at the horizontal surface. First, the bimaterial media is divided into two parts along the horizontal interface, one is an elastic half space with a circular cavity and the other is a complete half space. Then the problem is solved according to the procedure of combination and by the Green‘s function method. The horizontal surfaces of the two half spaces are loaded with undetermined anti-plane forces in order to satisfy continuity conditions at the linking section, or with some forces to recover cracks by means of crack-division technique. A series of Fredholm integral equations of first kind for determining the unknown forces can be set up through continuity conditions as expressed in terms of the Green‘s function. Moreover, some expressions are given in this paper, such as dynamic stress intensity factor (DSIF) at the tip of the interface crack and dynamic stress concentration factor (DSCF) around the circular cavity edge. Numerical examples are provided to show the influences of the wave numbers, the geometrical location of the interface crack and the circular cavity, and parameter combinations of different media upon DSIF and DSCF.