A Continuation Problem for Computing Solutions of Discretised Evolution Problems with Application to Plane Quasi-Static Contact Problems with FrictionReportar como inadecuado




A Continuation Problem for Computing Solutions of Discretised Evolution Problems with Application to Plane Quasi-Static Contact Problems with Friction - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

* Corresponding author 1 DMAaAM PrF UP - Department of Mathematical Analysis and Applications of Mathematics 2 ICJ - Institut Camille Jordan Villeurbanne

Abstract : A continuation problem for finding successive solutions of discretised abstract first-order evolution problems is proposed and a general piecewise $C^{1}$ continuation problem is studied. A condition ensuring local existence and uniqueness of its solution curves is given. An analogy of the first-order system of smooth problems is derived and results of existence and uniqueness of its solutions are stated. Possibility of continuation of a solution curve along directions solving the first-order system is discussed. A technique for numerical continuation of the solution curves is developed. Furthermore, an application of the abstract continuation problem is presented for plane quasi-static contact problems with friction. Various formulations of the first-order system are derived for this case so that the analysis from the abstract frame can be developed and supplemented. Finally, the proposed numerical continuation is tested.

Keywords : continuation piecewise-smooth system first-order system predictor-corrector contact problem Coulomb friction





Autor: Tomas Ligursky - Yves Renard -

Fuente: https://hal.archives-ouvertes.fr/



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