Energy-Momentum Algorithms for the Nonlinear Dynamics of Elastoplastic Solids

DOI10.1007/978-1-4020-9090-5_23zbMath1209.74041OpenAlexW2170615713MaRDI QIDQ5391698

Francisco Armero

Publication date: 7 April 2011

Published in: IUTAM BookSeries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-9090-5_23

zbMATH Keywords

dynamic plasticityassumed strain finite element methodsenergy-dissipative momentum-conserving time-stepping algorithms

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

Cites Work

• Unnamed Item
• Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
• Volume-preserving energy-momentum schemes for isochoric multiplicative plasticity
• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• Energy consistent algorithms for dynamic finite deformation plasticity
• Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
• Energy-dissipative momentum-conserving time-stepping algorithms for finite strain multiplicative plasticity
• Time integration and discrete Hamiltonian systems
• An energy momentum conserving algorithm using the variational formulation of visco-plastic updates
• Lectures on Mechanics
• A co‐rotational element/time‐integration strategy for non‐linear dynamics
• On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. I: Low-order methods for two model problems and nonlinear elastodynamics

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