Automatic energy-momentum conserving time integrators for hyperelastic waves

DOI10.1016/J.CAM.2012.02.040zbMath1414.74026OpenAlexW2023256066MaRDI QIDQ448428

J. Herrera, D. Rodríguez-Gómez

Publication date: 6 September 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.02.040

zbMATH Keywords

automatic differentiationautomatic finite element assemblyMurnaghan strain energy functionNewmark time steppingtwo-mode kinematic model

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Finite element methods applied to problems in solid mechanics (74S05) Ship waves (76B20)

Related Items (1)

Automatic finite element formulation and assembly of hyperelastic higher order structural models

Uses Software

• DOLFIN
• FEniCS

Cites Work

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• Automatic differentiation: techniques and applications
• Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
• On the asymptotic membrane theory of thin hyperelastic plates
• Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
• On the derivation of nonlinear rod theories from three-dimensional elasticity
• A general theory of elastic beams
• Conservation properties of a time FE method?part II: Time-stepping schemes for non-linear elastodynamics
• Higher-order rod approximations for the propagation of longitudinal stress waves in elastic bars
• DOLFIN
• A finite element model for a higher-order shear-deformable beam theory
• The use of ADINA for analysis of mines with explosive fills
• Conservation properties of a time FE method. Part IV: Higher order energy and momentum conserving schemes

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