Hertz接触问题的解的唯一性条件

讨论了接触面为圆面的Ｈｅｒｔｚ接触问题。若压力分布是轴对称的，则该接触问题的解必是唯一的。且在上述条件下，该接触问题的积分方程可化为两个推广的Ａｂｅｌ积分方程组，此方程组的解便给出此接触问题的解。     

ELECTROELASTIC FIELD FOR AN IMPERMEABLE ANTI-PLANE SHEAR CRACK IN A PIEZOELECTRIC CERAMICS PLATE

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最小化残差绝对值加权和准则下回归线的搜索解法

本文介绍了最小化残差绝值对加权和准则下回归线的一种搜索解法．该方法简单易行、运算速度快、求得的回归线是精确的，并具有稳健性．最后，通过几个实例证实该方法可行并相当有效．     

分数阶积分微分方程的近似解

本文给出了分数阶积分微分方程的一种新的解法.利用未知函数的泰功多项式展开将分数阶积分微分方程近拟转化为一个涉及未知函数及其n阶导数的线性方程组.数值例子表明该方法的有效性.     

Herz接触问题的解的唯一性条件

讨论了接触面为圆面的Ｈｅｒｔｚ接触问题。若压会布是轴对称的，则该接触问题的解必是唯一的。且在上述条件下，该接触问题的积分方程化为两个推广的Ａｂｅｌ积分方程组，此方程组的解便给出此接触问题的解。     

第二类Fredholm积分方程的泰勒展开解法

本进一步发展了用Taylor公式求解第二类Fredholm积分方程的方法，并给出了近似解的误差精度分析．     

Elastic analysis of a mode II crack in a decagonal quasi—crystal

The elastic analysis of a mode II Griffith crack penetrating through a decagonal quasi-crystal along the periodic axis is made within the context of the continuum theory. By using a general solution obtained previously, the problem in the case of uniform shear stress at infinity is solved, and the analytical expressions for the entire stress field disturbed by an internal crack are derived in an explicit form. The asymptotic fields of the displacement and stress around a crack tip in both phonon and phason fields indicate that the stresses near a crack tip exhibit the square-root singularity. The formula for evaluating the energy release rate is also given. If imposing that the phason field is absent, the well-known results of a mode II crack in a conventional material are recovered from the present results.     

刚性电极夹持的压电陶瓷层中含Ⅲ型裂纹的解析解

分析了刚性电极所夹持的压电陶瓷层的中平面上含有Ⅲ型穿透裂纹的电弹性问题，利用积分变换和对偶积分方程方法，采用绝缘型和导电型裂纹两种假设，分别获得了有限长和半无限长裂纹的电弹性行为的精确解析解，并给出了相应的场强度因子和能量释放度。     

含有刚性夹杂物压电材料的反平面振荡分析

本研究了含有导电刚性夹杂物压电材料有电力负荷下的反平面振荡问题。     

A MOVING SCREW DISLOCATION IN A ONE-DIMENSIONAL HEXAGONAL QUASICRYSTAL

This paper extends a moving screw dislocation theory in a conventional crystal to a one-dimensional hexagonal quasicrystal in the framework of the Landau theory. By introducing two functions φ and ψ which satisfy wave equations, respectively, a general solution is suggested in terms of φ and ψ. The analytical expressions for displacement and stress fields induced by a moving screw dislocation as well as the energy are found. The results obtained here when imposing the condition that the phason fields is absent reduce to those for a moving screw dislocation in a crystal.