西安电子科技大学学报（自然科学版）2017，Vol.44Issue(4)：34-39,6.DOI:10.3969/j.issn.1001-2400.2017.04.007
接触问题的增广拉格朗日块体粘接模型
Augmented Lagrangian bonding block model for contact problems
摘要
Abstract
A novel bonding block model is proposed for elastic contact simulations.The original model problem is expressed as the minimization problem with the penalty item of gluing spring strain energies,and Lagrangian multipliers are introduced to represent gluing spring forces.In this way,the total potential energy as the objective function becomes an augmented Lagrangian function.To solve this model,a new algorithm is presented by implementing augmented Lagrangian iterations to obtain the optimal solution in every time step.A numerical example is conducted to verify the accuracy and effectiveness of the presented model and algorithm.关键词
弹性接触/增广拉格朗日方法/非连续变形分析/块体粘接模型/迭代法Key words
elastic contact/augmented Lagrangian method/discontinuous deformation analysis/bonding block model/iterative method分类
数理科学引用本文复制引用
孙越,冯象初,李小平,张瑞..接触问题的增广拉格朗日块体粘接模型[J].西安电子科技大学学报（自然科学版）,2017,44(4):34-39,6.基金项目
国家自然科学基金资助项目(61271294,61471338) （61271294,61471338）
