The Arlequin method as a flexible engineering design tool

• Published in: International journal for numerical methods in engineering Vol. 62; no. 11; pp. 1442 - 1462
• Main Authors: Dhia, Hashmi Ben, Rateau, Guillaume
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 21-03-2005; Wiley
• Subjects: Arlequin method; Engineering Sciences; Exact sciences and technology; Fundamental areas of phenomenology (including applications); multimodel; multiscale; Other; overlapping; partition of unity; Physics; substructuring; Engineering design; Multimodel; Arlequin method; Multiscale method; partition of unity; overlapping; Modelling; Substructure; Unity partition; multiscale; substructuring; Domain Method; Partition; Simulation; Finite-Element-Method; Bodies; S-Version; multimodel
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.1229

By superposing and gluing models, the Arlequin method offers an extended modelling framework for the design of engineering structures. This paper aims at developing the numerical aspects of the approach and at showing how it can be used with great flexibility and in a consistent manner to change locally a global mechanical model. The capabilities of the Arlequin method and the effectiveness of the implemented numerical tools are exemplified by 1‐D, 2‐D and 3‐D numerical applications. Copyright © 2005 John Wiley & Sons, Ltd.