A discontinuous stabilized mortar method for general 3D elastic problems

• Published in: Computer methods in applied mechanics and engineering 2007-11, Vol.196 (49), p.4881-4900
• Main Authors: Hauret, Patrice, Le Tallec, Patrick
• Format: Article
• Language: English
• Subjects: Computational techniques; Curved interfaces; Discontinuous Lagrange multiplers; Engineering Sciences; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); General theory; Materials and structures in mechanics; Mathematical methods in physics; Mechanics; Mortar methods; Physics; Solid mechanics; Stabilization; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
• ISSN: 0045-7825; 1879-2138
• DOI: 10.1016/j.cma.2007.06.014

First, the present paper is concerned with the extension to linearized elastodynamics of the optimal results known in statics for the mortar method. It also analyzes and tests a new couple of displacements/Lagrange multipliers for the method, as proposed independently by Ben Belgacem [F. Ben Belgacem, A stabilized domain decomposition method with non-matching grids for the Stokes problem in three dimensions, SIAM J. Numer. Anal. 42 (2) (2004) 667–685] and the authors [P. Hauret, Méthodes numériques pour la dynamique des structures non-linéaires incompressibles à deux échelles (Numerical methods for the dynamic analysis of two-scale incompressible nonlinear structures), Ph.D. thesis, Ecole Polytechnique, 2004]. Finally, questions of practical implementation in the presence of curved interfaces are addressed and validated from the numerical point of view.