平面弹性第二基本问题的新提法*

本文给出了平面弹性第二基本问题的一般提法,这里在多连通弹性区域的各个闭边界围线上给出的位移只是相对的,各允许有一不同的刚性移动.在这种情况下,为了解的唯一性,证明了必须另外给出每一边界围线上外力的主矢量与主力矩.还给出了求解的方法以及一些例题.

New Formulations of the Second Fundamental Problem in Plane Elasticity

Some general formulations of the second fundamental problem in plane elasticity are proposed here when the displacements given on the closed boundary contours of a multi-connected elastic region are relative to certain rigid motions which are different to each other for different boundary contours. In such case, it is proved that, for the unique existence ofsolution, there must be given in addition to the principal vector and the principal moment of the extemal forces on each boundary contour. A method of solution is given also together with some illustrative examples.