含球形空腔或刚性夹杂的中厚圆板在弯曲变形时的弹性场

本文将空间轴对称问题的Папковиц-Neuber通解用复变量广义解析函数表示,推导出用复变函数法求解空间轴对称问题的基本公式,并以此为工具求得了含球形空腔或刚性夹杂的中厚圆板在轴对称弯曲变形时的完全解.     

偏压电场对压电板中Lamb波相速度的影响

本文研究了偏压电场作用下,Lamb波在压电板中的传播行为，首先给出了偏压电场作用时压电板中的应力场及电位移场，然后通过求解含初应力及初电位移的小幅波动问题的耦合方程，分别给出了Lamb波的对称模态和反对称模态的相速度方程，以典型的PZT－5H压电陶瓷板为例进行了数值计算,并讨论了偏压电场对Lamb波相速度及频散曲线的影响，结果表明，偏压电场可以显著地改变Lamb波的传播速度，借此可使声波器件获得延时效果。     

压电陶瓷中圆币形裂纹在横向剪力下的机—电耦合行为

以弹性位移分量和电热函数基本未知量时，横观各向同性压电介质三维问题的场方程可化为四个联立的二阶线性偏微分方程组，本文导出了用四个调和函数表示位移分量及电势函数的表达式，即得到了该场方程的势函数能通解，作为通解的应用举例，文中求解了圆币形裂纹受横向剪切载荷下圆币形裂纹的尖端场及应力、电位移强度因子均具有明显的机－电耦合性质，而应力和电位移分量在裂尖仍具有－１／２的奇异性。     

用圆膜试验测量国产金属材料的塑性硬化规律

本文用金属圆膜试验获得了紫铜、黄铜、软铝、合金铝、低碳钢及不锈钢等六种国产材料在二向均匀拉应力状态下的塑性硬化规律.通过对薄壁结构塑性失稳的计算分析结果表明,失稳应力,失稳厚度及失稳时的厚向应变的理论计算值与实验值基本符合,从而说明用金属圆膜试验确定金属材料塑性硬化规律是简单易行的方法且具有一定的精度.     

压电材料空间轴对称问题的通解及其应用

本文根据横观各向同性压电材料空间轴对称问题场方程的结构特点,利用逐次引进势函数的方法,最后得到将位移分量和电势函数用满足特定偏微分方程的单一势函数表示的所谓通解,推导过程表明这种形式的通解是完备的,作为应用举例,文中用通解求解了压电材料半无限体表面受集中力的问题,得到位移、应力、电位移分量及电势函数的解析表达式,本文所提供的通解可作为分析含空腔、夹杂或币形裂纹等缺陷的压电材料的机-电耦合行为的工具,算例所得结果可直接用于求解压电体相互间或压电体与普通弹性体间的接触问题。     

A general solution and the application of space axisymmetric problem in piezoelectric material

ＡＧＥＮＥＲＡＬＳＯＬＵＴＩＯＮＡＮＤＴＨＥＡＰＰＬＩＣＡＴＩＯＮＯＦＳＰＡＣＥＡＸＩＳＹＭＭＥＴＲＩＣＰＲＯＢＬＥＭＩＮＰＩＥＺＯＥＬＥＣＴＲＩＣＭＡＴＥＲＩＡＬＷａｎｇＺｉ－ｋｕｎｇ（王子昆）ＣｈｅｎＧｅｎｇ－ｃｈａｏ（陈庚超）（ＸｉａｎＪｉａｏ...     

Solution of the plane stress problems of strain-hardening materials described by power-law using the complex pseudo-stress function

In the present paper,the compatibility equation for the plane stress problems of power-law materials is transformed into a biharmonic equation by introducing the so-calledcomplex pseudo-stress function,which makes it possible to solve the elastic-plastic planestress problems of strain hardening materials described by power-law using the complexvariable function method like that in the linear elasticity theory.By using this generalmethod,the close-formed analytical solutions for the stress,strain and displacementcomponents of the plane stress problems’of power-law materials is deduced in the paper,which can also be used to solve the elasto-plastic plane stress problems of strain-hardeningmaterials other than that described by power-law.As an example,the problem of a power-law material infinite plate containing a circular hole under uniaxial tension is solved byusing this method,the results of which are compared with those of a known asymptoticanalytical solution obtained by the perturbation method.     

层状压电介质中一种奇特的电声波

对于由不同压电材料作为基底及覆层（两者之间为理想连接）的层合结构,本文发现并证明当它们的压电常数满足确定的关系时,在这种结构中将会传播一种奇特的电声波,这种波传播时机械扰动和电磁扰动是相互耦合的,但机械扰动只发生在覆盖层中,也就量说,这种面波传播时质点的水平偏振运动只发生在覆盖层中,而基底中质点的位移始终为零,文中建立了上述面波存在的条件及相应的速度方法,并给出了数值算例。     

THE METHOD OF SOLVING AXISMMETRIC PROBLEMS IN ELASTIC SPACE BY COMPLEX FUNCTION AND SOME EXAMPLES

This paper proves Love's stress function of space axisymmetric problem can be represented by choosing two generalized analytic functions of complex variates reasonably, and deduces the expressions of the components of stress displacements and boundary conditions in complex function. To present the feasibility of the method here and examining the truth of the formulae founded in this paper, the problem of circular shaft with globular cavity pressed on the side and pulled at the ends is solved by using power series and the result is the same as that solved by other methods. In the end, the problem of a cone sheared by uniform shear stress on the sideface is solved, and the solution of a cone acted on by gravity is given by converting constant body forces into surface forces.     

具有光滑界面的椭球夹杂的轴对称弹性场

本文在旋转椭球坐标系下,利用Papkovich—Neuber位移通解求解了具有光滑界面椭球夹杂由于均匀的特征应变引起的轴对称弹性场,与理想界面不同,在夹杂与基体界面不能经受剪应力而可自由滑动的情况下,解答只能是无穷级数形式,因此文中给出了数值算例。