Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements - Archive ouverte HAL Access content directly
Journal Articles Journal of Scientific Computing Year : 2018

Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements

Abstract

In this work we present a method for the computation of numerical solutions of 2D homogeneous isotropic elastodynamics equations by solving scalar wave equations. These equations act on the potentials of a Helmholtz decomposition of the displacement field and are decoupled inside the propagation domain. We detail how these equations are coupled at the boundary depending on the nature of the boundary condition satisfied by the displacement field. After presenting the case of rigid boundary conditions, that presents no specific difficulty, we tackle the challenging case of free surface boundary conditions that presents severe stability issues if a straightforward approach is used. We introduce an adequate functional framework as well as a time domain mixed formulation to circumvent these issues. Numerical results confirm the stability of the proposed approach.
Fichier principal
Vignette du fichier
ElastoPot_PJ.pdf (3.14 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01803536 , version 1 (30-05-2018)

Identifiers

Cite

Jorge Albella Martínez, Sébastien Imperiale, Patrick Joly, Jerónimo Rodríguez. Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements. Journal of Scientific Computing, 2018, ⟨10.1007/s10915-018-0768-9⟩. ⟨hal-01803536⟩
393 View
720 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More