Skip to Main content Skip to Navigation
Journal articles

Analytical solution to the 1D nonlinear elastodynamics with general constitutive laws

Abstract : Under the hypothesis of small deformations, the equations of 1D elastodynamics write as a 2 × 2 hyperbolic system of conservation laws. Here, we study the Riemann problem for convex and nonconvex constitutive laws. In the convex case, the solution can include shock waves or rarefaction waves. In the nonconvex case, compound waves must also be considered. In both convex and nonconvex cases, a new existence criterion for the initial velocity jump is obtained. Also, admissibility regions are determined. Lastly, analytical solutions are completely detailed for various constitutive laws (hyperbola, tanh and polynomial), and reference test cases are proposed.
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01350116
Contributor : Bruno Lombard Connect in order to contact the contributor
Submitted on : Sunday, August 7, 2016 - 8:28:56 AM
Last modification on : Thursday, November 4, 2021 - 2:44:07 PM
Long-term archiving on: : Tuesday, November 8, 2016 - 10:11:29 AM

Files

Version1.pdf
Files produced by the author(s)

Identifiers

Citation

H Berjamin, Bruno Lombard, Guillaume Chiavassa, N Favrie. Analytical solution to the 1D nonlinear elastodynamics with general constitutive laws. Wave Motion, Elsevier, 2017, 74, pp.35-55. ⟨10.1016/j.wavemoti.2017.06.006⟩. ⟨hal-01350116⟩

Share

Metrics

Record views

480

Files downloads

587