TY - JOUR AU - Ubessi, Cristiano J. B. AU - Marczak, Rogério J. PY - 2017/01/25 Y2 - 2024/03/29 TI - ON THE SOLUTION OF 3D FRICTIONAL CONTACT PROBLEMS WITH BOUNDARY ELEMENT METHOD AND DISCONTINUOUS ELEMENTS USING A GENERALIZED NEWTON METHOD WITH LINE SEARCH JF - Revista Interdisciplinar de Pesquisa em Engenharia JA - Rev. Interd. Pesq. Eng. VL - 2 IS - 7 SE - Artigos DO - 10.26512/ripe.v2i7.21719 UR - https://periodicos.unb.br/index.php/ripe/article/view/21719 SP - 186-198 AB - <p>This paper presents the implementation of an algorithm for the solution of 3D elastic&nbsp;contact problems with friction using the Boundary Element Method (BEM) with discontinuous&nbsp;elements. A standard BEM implementation is used, and the coupling of the potential contact&nbsp;zone is imposed through a projection function which treats each region independently, and&nbsp;is updated along with the changes to the contact state. The contact restrictions are fulfilled&nbsp;through the augmented Lagrangian, and the solution is found using the Generalized Newton&nbsp;Method with line search. With this method is possible to avoid the calculation of the non-linear&nbsp;derivatives, allowing for a fast solution of the problem. A classic contact problem is solved to&nbsp;evaluate the accuracy of the method and to provide a comparison with analytic solution.</p> ER -