A fully nonlinear three-dimensional dynamic frictional contact analysis method under large deformation with the area regularization

• Published in: Engineering with computers Vol. 40; no. 1; pp. 399 - 421
• Main Authors: Kwon, Seung Lee, Kim, Seongik, Ha, Dongwon, Yun, Gun Jin
• Format: Journal Article
• Language: English
• Published: London Springer London 01.02.2024; Springer Nature B.V
• Subjects: Accuracy; Aerospace engineering; Aircraft carriers; Algorithms; CAE) and Design; Calculus of Variations and Optimal Control; Optimization; Classical Mechanics; Computer Science; Computer-Aided Engineering (CAD; Control; Coordinates; Deformation; Flight decks; Friction; Frictionless contact; Lagrange multiplier; Math. Applications in Chemistry; Mathematical and Computational Engineering; Nodes; Original Article; Parameters; Regularization; Segments; Systems Theory; Three dimensional analysis; Area regularization; Node-to-segment; Collision; Contact mechanics; Large deformation; Finite element
• ISSN: 0177-0667; 1435-5663
• DOI: 10.1007/s00366-023-01795-x

This paper presents the NTS-AR (node-to-segment with area regularization) method to analyze the three-dimensional dynamic frictional contact bodies under large deformation and plastic material behavior. The extended NTS-AR method considers the 3D geometric structure of the slave surface and frictional constraint in a convected coordinate system. Despite wide applications of the penalty-based node-to-segment (NTS) method, owing to its light computation cost, the penalty-based NTS algorithm still has limitations in convergence and accuracy. Unlike the original NTS method setting a constant penalty parameter, the NTS-AR method compensates the area so that a proper penalty parameter is applied for each slave node. To the best knowledge of authors, the NTS-AR method has been applied only to 2D frictionless contact problems, although the method maintains the advantages of the fast and straightforward algorithm of the original NTS method and shows an improved accuracy. Following validations with various three-dimensional numerical examples, the effects of friction on the tangential and normal forces and displacements under large deformation are investigated with the proposed method. In particular, a collision event of F-35B and aircraft carrier flight deck is simulated.