Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact

It is now well established that discrete energy conservation/dissipation plays a key-role for the unconditional stability of time integration schemes in nonlinear elastodynamics. In this paper, from a rigorous conservation analysis of the Hilber–Hughes–Taylor time integration scheme [H. Hilber, T. H...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 195; no. 37; pp. 4890 - 4916
Main Authors:	Hauret, Patrice, Le Tallec, Patrick
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.07.2006 Elsevier
Subjects:	Computational techniques Contact Energy dissipation Energy–momenta conserving algorithms Engineering Sciences Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematical methods in physics Mechanical contact (friction...) Mechanics Nonlinear elastodynamics Physics Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics Structural mechanics Time integration schemes Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Viscoelasticity Viscoelasticity Time integration schemes Energy–momenta conserving algorithms Energy dissipation 02.60.Jh 46.20 46.30.J Nonlinear elastodynamics Contact Energy method Numerical integration Vibration Low speed Momentum Mechanical contact Frictionless contact Incompressible material Elastic wave Modeling Conservation law Time domain method Non linear elasticity 02.60.Jh; 46.20; 46.30.J Energy conservation Earthquakes Non linear effect Elastodynamics Kuhn Tucker method Time integration schemes; Nonlinear elastodynamics; Energy-momenta conserving algorithms; Energy dissipation; Contact; Viscoelasticity Impact test Structural analysis Mechanical shock Energy-momenta conserving algorithms
ISSN:	0045-7825, 1879-2138
Online Access:	Get full text
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