Non Intrusive Global/Local Coupling Techniques in Solid Mechanics: An Introduction to Different Coupling Strategies and Acceleration Techniques

Olivier Allix (1) , Pierre Gosselet (2)

1 LMT - Laboratoire de Mécanique et Technologie
2 LaMcube - Laboratoire de Mécanique, Multiphysique, Multiéchelle - UMR 9013

The aim of this paper is to provide, for a reader not familiar with the non-intrusive coupling method, the simplest possible example on which all the different iterative coupling strategies can be solved by hands. Among them, the basic algorithm, Aitken's method, mixed interface conditions.. . A drawback of this example is that, for some acceleration techniques, the convergence can be achieved in one iteration after the initialization. Nevertheless it allows to easily become acquainted with the different techniques. Some examples from previous papers are then used to illustrate the same properties on more complex examples involving nonlinearity.

Mots clés: Non Intrusive Coupling; Global/Local Coupling

Domaines: Mécanique des structures [physics.class-ph]

Olivier Allix, Pierre Gosselet. Non Intrusive Global/Local Coupling Techniques in Solid Mechanics: An Introduction to Different Coupling Strategies and Acceleration Techniques. L. De Lorenzis and A. Düster. Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids, 599, Springer Nature Switzerland AG, pp.203-220, 2020, CISM International Centre for Mechanical Sciences -- Courses and Lectures, 978-3-030-37517-1. ⟨10.1007/978-3-030-37518-8_6⟩. ⟨hal-02476964⟩