基于结点应力误差估计的自适应网格划分

提出了基于结点应力误差估计对围绕该结点单元进行自适应网格划分的新方法。首先建立了基于2-范数的结点应力误差估计方法,然后在引入误差在各结点内等分布假定的基础上,给出了基于结点应力误差估计的自适应网格划分策略。最后结合工程实际中对高应力区结点应力的精度需要,给出了考虑结点应力大小的误差分配方案和相应的自适应网格划分方法,从而既对高应力区进行了网格优化,又兼顾了数学意义上误差较大的区域,更符合工程实际要求。算例计算结果表明,本文的方法是可行、有效的。

A new adaptive remeshing strategies based on nodal stress error estimation

A new adaptive strategy based on the nodal stress error is developed in this paper taking into account the requirements for high accuracy nodal stress results in practice.A method used to evaluate the nodal stress error using the 2-norm as the error measure is firstly proposed and then the adaptive strategy based on the nodal stress error is presented on the assumption that the error is equally distributed between all the nodes.Finally,considering the stress accuracy requirements in higher stress zones for practical engineering,a new refinement strategy based on distributing the error according to the magnitude of the nodal stress is further developed.Due to the consideration of not only the nodal stress error but also the nodal stress magnitude,the newly developed strategy is more reasonable for practical use.The numerical results indicate the method presented in this paper is feasible and efficient.