Local Numerical Solutions in Solid Mechanics by the Random Walk Method

提出了一种分析固体力学问题的新方法——随机游走法（RWM）。这种方法是一种局部方法，因为它提供了离散位置的响应，而不必在整个域上求解控制方程。然后从该场解中提取离散位置的响应。该方法具有操作简单、稳定性好、精度高、适合并行计算等优点。该方法既适用于确定性问题，也适用于具有随机材料性质、边界和边界条件的问题。＊＊＊

9610022 Grigoriu A new method for analysis of solid mechanics problems, termed the Random Walk Method (RWM), is developed. This method is a local method in that it provides the response at a discrete location without having to solve the governing equations over the entire domain. The response at a discrete location is then extracted from this field solution. The advantages of the method lie in that it is simple to use, always stable, accurate, and ideal for parallel computations. The method is applicable to both deterministic problems as well as problems with random material properties, boundaries, and boundary conditions. ***