摘要：用复变函数方法研究了浅埋椭圆柱形孔洞对任意角度入射的平面SH波的散射及其对地震动的影响.利用SH波的对称性构造了1个能够自动满足水平表面上应力自由边界条件的散射波函数,将半空间中的问题转化为求解1个全空间中椭圆形孔洞的散射问题,最终将问题归结为对一组无穷代数方程组的求解,给出了浅埋椭圆孔洞附近地面运动的数值结果.研究表明浅埋孔洞与水平表面存在强烈的相互作用,地震动将受到很大影响,在地面建筑物抗震设计时应对“隐蔽地形”的存在予以充分重视.

摘要：为了研究石油工程中的井壁失稳问题,将断裂力学和细观力学相结合,给出了一种新的计算方法.根据断裂力学和微观损伤力学原理,研究了脆性岩石中含微裂纹的扩展条件、扩展方向和变形机理.由井壁附近的应力状态和岩石破坏准则,建立了井壁坍塌和地层破坏的力学计算模型,并对井壁稳定性的问题中的井壁坍塌和地层破坏进行了定量的分析,确定了钻井液密度的范围.所给出的计算结果与传统的油井工程中采用的摩尔-库仑准则所得出的结论相同.同时通过细观力学分析和考虑岩石断裂韧性的影响,提出了岩石的内禀断裂应力的概念.此概念将揭示岩石变形机理的本质,并为钻井工程设计提供理论参考依据.

摘要：采用复变函数法、Green函数法求解了SH波入射下各向异性弹性半空间中圆形孔洞和裂纹的散射问题。基于Green函数法,推导出含圆孔的各向异性弹性半空间内作用出平面线源荷载时的Green函数解。基于裂纹"切割"法,沿着裂纹出现处施加一系列等值反向的应力,使该处的总应力为零,从而构造出了裂纹。则裂纹存在情况下的位移场便可进一步求得,最后通过大量的计算结果,讨论了不同参数对水平地震动的影响规律。

摘要：In this paper, the wave propagation in functionally graded materials (FGM) is studied by the elastic wave theory based on thewave problems in homogeneous media. The auxiliary function and modulus function are introduced to construct the displacementfield and density function. The displacement field, modulus function, and density function are connected to proposea design theory of special FGM. An analytical method for elastic wave propagation in inhomogeneous media with varyingmodulus and density is derived to provide theoretical references for material design and dynamic stress analysis under elasticwaves. Taking the problem of dynamic stress concentration caused by shallow buried elliptical cavity in half space designedunder SH waves as an example, the calculation results are obtained and analyzed. The results show that the dynamic stressconcentration is sensitive to the change of the inhomogeneity of the medium.