A C1-continuous formulation for 3D finite deformation frictional contact
A C1-continuous formulation for 3D finite deformation frictional contact
复制标题
DOI：
10.1007/s00466-002-0317-z
复制
发表时间：
2002-07-01
影响因子：
4.1
通讯作者：
Korelc, J
中科院分区：
文献类型：
--
作者：
Krstulovic-Opara, L;Wriggers, P;Korelc, J
利用抽象的符号规划方法，构造了一种新的三维光滑三角形摩擦面接触单元。Cl-连续光滑接触曲面的描述是基于六个四次Bezier曲面。提出了描述大变形摩擦接触问题的弱列式和罚函数法。该方法基于非关联摩擦定律和弹塑性切向滑移分解，在Newton-Raphson迭代循环内收敛速度为二次。光滑的摩擦滑动路径，以及简单的摩擦节点，表面接触元件在这里提出的，是由映射的电流在最后收敛的配置。算例表明了符号化接触单元的性能，以及光滑单元与简单单元相比的稳定性和更真实的接触描述。
A new 3D smooth triangular frictional node to surface contact element is developed using an abstract symbolical programming approach. The Cl-continuous smooth contact surface description is based on the six quartic Bezier surfaces. The weak formulation and the penalty method are formulated for the description of large deformation frictional contact problems. The presented approach, based on a non-associated frictional law and elastic-plastic tangential slip decomposition, results into quadratic rate of convergence within the Newton-Raphson iteration loop. The frictional sliding path for the smooth, as well as the simple frictional node to surface contact element presented herein, is defined by the mapping of the current in the last converged configuration. Examples demonstrate the performance of symbolically developed contact elements, as well as the stability and more realistic contact description for the smooth elements in comparison with the simple ones.