三维瞬态弹性动力场的基本解及边界积分方程

THE FUNDAMENTAL SOLUTION AND BOUNDARY INTEGRAL EQUATION ON THREE DIMENSIONS TRANSIENT ELASTRODYNAMIC PROBLEM

三维瞬态动力场的求解,一直为世人所瞩目,本文拟采用边界积分方程——边界单元法进行求解。与其它数值方法相比较,本方法由于采用了动力场区域的基本解,因此在处理无限域或半无限域的动力场问题时可以毋须人为地去划定边界,附加相应的边界约束条件。同时在求解过程中,采用了权函数与奇异格林函数。

Three dimensions transient elastrodynamic equation is given through the Laplace integral transform anl its fundamental solution have been derived in more detail.According to Betti's reciprocal theorem the boundary integral equation of transient elastrodynamic problem appropriate to the tranformed space is established and solvability of boundary-value problem is also studied.