On the velocity-stress formulation for geometrically nonlinear elastodynamics and its structure-preserving discretization

On the velocity-stress formulation for geometrically nonlinear elastodynamics and its structure-preserving discretization

We consider the dynamics of an elastic continuum under large deformation but small strain. Such systems can be described by the equations of geometrically nonlinear elastodynamics in combination with the St. Venant-Kirchhoff material law. The velocity-stress formulation of the problem turns out to h...

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Bibliographic Details
Main Authors: Tobias Thoma, Paul Kotyczka, Herbert Egger
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Mathematical and Computer Modelling of Dynamical Systems
Subjects:
velocity-stress formulation
structure-preserving discretization
port-Hamiltonian systems
Online Access:https://www.tandfonline.com/doi/10.1080/13873954.2024.2397486
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