Consistent tangent matrices of curved contact operators involving anisotropic friction
Consistent tangent matrices of curved contact operators involving anisotropic friction
复制标题
涉及各向异性摩擦的曲线接触算子的一致切线矩阵
DOI：
10.1080/12506559.1995.10511173
复制
发表时间：
1995
影响因子：
7.2
通讯作者：
A. Heege
中科院分区：
文献类型：
--
作者：
P. Alart;A. Heege
摘要涉及摩擦的接触问题很难求解，因为它们受多值摩擦学定律的支配。利用混合罚对偶公式，广义牛顿法被证明是有效的。为了引入新的非线性，如接触面的各向异性摩擦和曲率，必须推导出适当的切线矩阵。当解析表达式不可用时，讨论了附加项，并给出了算法。通过两个数值试验，验证了广义牛顿法的有效性。
ABSTRACT Contact problems involving friction are difficult to solve because they are governed by multivalued tribological laws. Using a mixed penalty-duality formulation, a generalized Newton method has proved to be efficient. In order to introduce new non-linearities like anisotropic friction and curvature of the contact surface, appropriate tangent matrices have to be derived. The additional terms are discussed and algorithms are proposed when analytical expressions are not available. Two numerical tests are presented to show the performance of the generalized Newton method.