A yield‐limited Lagrange multiplier formulation for frictional contact
A yield‐limited Lagrange multiplier formulation for frictional contact
复制标题
摩擦接触的屈服限制拉格朗日乘数公式
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
P. Papadopoulos
中科院分区：
文献类型：
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作者：
Reese E. Jones;P. Papadopoulos
本文利用刚塑性的类比方法，建立了非线性变形固体间准静态摩擦接触的本构框架。在此设置中，使用拉格朗日乘子法来对粘着和滑移进行明显区分。乘数的范围是有限的constitutivelydefined“屈服”功能和有限元为基础的预测-校正计划，以有效地确定粘滑和相关的牵引力的区域。选择模拟平面准静态问题，以验证该方法，并说明其功能。
An analogy with rigid-plasticity is used to develop a constitutive framework for quasi-static frictional contact between finitely deforming solids. Within this setting, a Lagrange multiplier method is used to impose a sharp distinction between stick and slip. The scope of the multipliers is limited by a constitutivelydefined “yield” function and a finite element-based predictor-corrector scheme is employed to efficiently determine the regions of stick and slip and the associated tractions. Selected simulations of planar quasi-static problems are presented to validate the method and illustrate its capabilities.