On space-time methods based on Isogeometric analysis for structures analysis

Stéphane Lejeunes (1) , Dominique Eyheramendy (2) , Christelle Saadé (1) , Roy Saad (3)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 M&S - Matériaux et Structures
3 LU / ULB - الجامعة اللبنانية [بيروت] = Lebanese University [Beirut] = Université libanaise [Beyrouth]

Despite some early pioneering attempts in the 1970s and 1980s, space-time methods did not experience the same success as finite-elements combined with discrete time-integration scheme (implicit/explicit finite-differences, Newmark, HHT, etc). Since these years, the software and hardware context has changed and we propose to rediscuss the interest of these methods in the context of the Isogeometric Analysis method (IGA). We show the construction of different formulations adapted to different situations in solid mechanics: elastodynamics, viscoelasticity, thermo-mechanical coupling, etc. From representative numerical examples, we show that we can obtain promising numerical performances (optimum convergence rate, …) that make space-time methods a credible alternative to standard paradigms for structures analysis.

Domaines: Matériaux et structures en mécanique [physics.class-ph]

Stéphane Lejeunes, Dominique Eyheramendy, Christelle Saadé, Roy Saad. On space-time methods based on Isogeometric analysis for structures analysis. 16th International Conference on Civil, Structural & Environmental Engineering Computing, Sep 2019, Riva del Garda, Italy. ⟨hal-02350966⟩