摘要
本文利用积分变换方法求解皮肤层在表面压力作用下的蠕变响应问题。使用数值方法分别求解了双积分逆变换和由表面应力边界条件所得的第一类Ｖｏｌｔｅｒｒａ积分方程。计算所得的加载瞬时和平衡状态时的位移结果分别与不可压缩和可压缩单相弹性体的应移值相同，证明了本文方法的正确性。文中还给出了皮肤层在压力作用下的蠕变响应曲线。
The creep of a skin layer under a distributed surface pressure was solved by an analytical method using Hankel transform and Laplace transform。The surface stress boundary conditions lead to a Volterra integral equation of the first kind,which was then solved by a numerical method. The IMSL subroutines DINLAP and DGQRUL were employed to numerically obtain the Hankel-Laplace inversion。The calculated displacements at two distinctive moments were com-pared respectively with those obtained by an elastic solution for either ineom-pressible or compressible solid.The transient creep responses of the skin layer were also presented。
出处
《应用数学和力学》
EI
CSCD
北大核心
1994年第12期1075-1082,共8页
Applied Mathematics and Mechanics
