有限覆盖无单元法在岩土类弱拉型材料摩擦接触问题中的应用

介绍了平面弹性摩擦接触问题的参变量最小势能原理 ,进而在Simo等研究基础上推导建立了适合于岩土类等弱性受拉材料的扩展Lagrange乘子法的迭代格式 ,在无单元方法的理论框架下讨论了扩展Lagrange乘子法的具体数值实施过程 ,并进行了算例分析与比较研究 ,着重探讨了有限覆盖无单元方法与现有无单元Galerkin法在处理界面接触问题时的不同之处及其优越性

Applications of the finite-cover element-free method in friction contact problems of tension-weak geomaterials

In this paper, the finite cover based element free method is developed for applying to the friction contact problems of tension weak geomaterials. The variational parametric principle of minimum potential energy for plane elastic friction contact problem is presented. Then based on the studies of Simo and Lauren, an effective iterative scheme of the augmented Lagrangian multiplier procedure is established for the tension weak geomaterials and it is numerically implemented within the theoretical framework of the element free method. The slippage problem of an elastic block along a rigid base is analyzed by the proposed algorithm as an example and the numerical results are compared with the conventional element free methods. Discussions are made to address the difference of the proposed finite cover based element free method and conventional element free Galerkin methods in treatment of contact problem of interfaces and potential merits of the proposed method.