Elastodynamics

Matteo Cicuttin; Alexandre Ern; Nicolas Pignet

doi:10.1007/978-3-030-81477-9_5

Elastodynamics

Matteo Cicuttin
, Alexandre Ern
, Nicolas Pignet

University of Liège
Lamsid/EDF/R and D

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The goal of this chapter is to show how the HHO method can be used for the space semi-discretization of the elastic wave equation. For simplicity, we restrict the scope to media undergoing infinitesimal deformations and governed by a linear stress-strain constitutive relation. We consider first the second-order formulation in time and then the mixed formulation leading to a first-order formulation in time. The time discretization is realized, respectively, by means of Newmark schemes and diagonally-implicit or explicit Runge–Kutta schemes. Interestingly, considering the mixed-order HHO method is instrumental to devise explicit Runge–Kutta schemes.

Original language	English
Title of host publication	SpringerBriefs in Mathematics
Publisher	Springer Science and Business Media B.V.
Pages	71-83
Number of pages	13
DOIs	https://doi.org/10.1007/978-3-030-81477-9_5
Publication status	Published - 1 Jan 2021

Publication series

Name	SpringerBriefs in Mathematics
ISSN (Print)	2191-8198
ISSN (Electronic)	2191-8201

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10.1007/978-3-030-81477-9_5

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Elastodynamics

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