The Variational Theory of Complex Rays: An answer to the resolution of mid-frequency 3D engineering problems

Hervé Riou (1) , Pierre Ladevèze (1) , Louis Kovalevsky (1)

1 LMT - Laboratoire de Mécanique et Technologie

The Variational Theory of Complex Rays (VTRC) is an approach to the simulation of mid-frequency phenomena whose wavelengths are relatively small compared to the dimensions of the domain. This is a wave-based computational technique which involves a nonclassical variational formulation. This paper focuses on the development of the approach for 3D engineering problems and shows that it is a mature technique. Illustrations are given to show the capabilities of this method.

Domaines: Mécanique des structures [physics.class-ph]; Analyse numérique [math.NA]

Hervé Riou, Pierre Ladevèze, Louis Kovalevsky. The Variational Theory of Complex Rays: An answer to the resolution of mid-frequency 3D engineering problems. Journal of Sound and Vibration, 2013, 332 (8), pp.1947-1960. ⟨10.1016/j.jsv.2012.05.037⟩. ⟨hal-01647868⟩