A weighted point-based formulation for isogeometric contact
A weighted point-based formulation for isogeometric contact
复制标题
基于加权点的等几何接触公式
DOI：
10.1016/j.cma.2016.04.010
复制
发表时间：
2016
影响因子：
7.2
通讯作者：
Bischoff
中科院分区：
文献类型：
--
作者：
Matzen;Bischoff
在等几何接触分析的背景下，由于所涉及的形状函数的高度连续性，物体的表面可以被光滑地描述。这有助于构造连续的正常场，这可能有利于接触问题的建模。这个属性允许使用比数值积分少得多的评估点来稳定地配置虚拟接触工作，而计算结果的近似质量几乎相同。在此背景下，引入了加权基于点的方法（PTS+）作为马岑等人之前提出的点到段方法（PTS）的扩展。（2013年）。配重使得能够沿着接触表面传递接触应力而不是接触力。在法向采用拉格朗日乘子法，在切向采用罚函数法。与配置权相对应，引入了一个常数或NURBS拉格朗日乘子域。基于配置的接触公式PTS，PTS+和砂浆方法之间的比较，显示加权配置是能够实现几乎相同的精度为基础的集成砂浆配方。
In the context of isogeometric contact analysis, surfaces of objects can be described smoothly due to the high continuity of the involved shape functions. This facilitates construction of a continuous normal field which may be beneficial for modeling of contact problems. This property allows for stable collocation of the virtual contact work using considerable less evaluation points than numerical integration, while the approximation quality of the computational results is almost the same. In this context, a weighted point-based method (PTS+) is introduced as an extension of the Point-To-Segment method (PTS) proposed previously by Matzen et al. (2013). The weights enable transmission of contact stresses instead of contact forces along the contact surfaces. In normal direction the non-penetration condition is enforced by the Lagrange multiplier method, combined with the penalty method in tangential direction. Corresponding to the collocation weights, a constant or NURBS Lagrange multiplier field is introduced. A comparison between the collocation-based contact formulations PTS, PTS+and a mortar method is drawn, showing that weighted collocation is able to achieve almost the same accuracy as the integration-based mortar formulation.
瞬态三维域分解问题：框架无关迫击炮约束和守恒积分
影响因子：
2.9
作者：
C. Hesch;P. Betsch
通讯作者：
P. Betsch
摩擦接触的屈服限制拉格朗日乘数公式
DOI：
--
发表时间：
2000
期刊：
影响因子：
--
作者：
Reese E. Jones;P. Papadopoulos
通讯作者：
P. Papadopoulos
DOI：
10.1016/j.cma.2009.02.022
发表时间：
2009-01-01
影响因子：
7.2
作者：
Landon, Ryan L.;Hast, Michael W.;Piazza, Stephen J.
通讯作者：
Piazza, Stephen J.