摘要
提出了一个解三维非线性，静、动力大应变问题的方法。利用逐步积分方法，把 相关的静、动力平衡方程组化成不需联立求解的显式求解过程。因而它能适用于任何 复杂的几何和物理关系，同时这种求解过程也使位移场的构造过程变得较为容易，无 需花力气寻找形函数了。
A method used to solve three-dimensional nonlinear large strain problems is suggested.The essential of this method is as follows:First the displacements, velocities and coordinates of nodes are known at time t (e. g. in the initial time); by using the equilibrium equations, the accelerations of nodes can be obtained at time t; then it is assumed that the accelerations of nodes don't change during interval △t,so the displacements,velccities and coordinates of nodes can easily be obtained by kinematic equations directly. So the displacements, velocities, coordinates, strains and stresses of nodes can be calculated at any time by the same way.Because the explicit step by step integration method is used, so this method is suitable for a body with any geometric boundaries and any complex physical constitutive relations. It is very easy to construct displacement fields in this method. Two examples are calculated in the end of this paper.One of the results coincides basically with that of the experiment and the other is accurate.?
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1990年第5期509-516,共8页
Journal of Dalian University of Technology
关键词
应变
体应变
非线性系统
大挠度
strain
body strain
non-linear system/large deflection
