Combined implicit/explicit time-integration algorithms for the numerical simulation of sheet metal forming

In order to simulate stamping processes, an explicit method, which is conditionally stable, is generally thought to be the most adapted. Such an algorithm presents the advantage of being noniterative while, the contact configuration evolves rapidly, and the conditional stability is not a disadvantag...

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Veröffentlicht in:	Journal of computational and applied mathematics Jg. 168; H. 1-2; S. 331 - 339
Hauptverfasser:	Noels, L., Stainier, L., Ponthot, J.-P.
Format:	Journal Article Tagungsbericht
Sprache:	Englisch
Veröffentlicht:	Amsterdam Elsevier B.V 01.07.2004 Elsevier Elsevier Science Bv
Schlagworte:	Combined method Dynamics Engineering Sciences Engineering, computing & technology Exact sciences and technology Explicit Implicit Ingénierie mécanique Ingénierie, informatique & technologie Materials Mathematics Mechanical engineering Mechanics Metal forming nonlinearitics Nonlinearities Numerical analysis Numerical analysis. Scientific computation Numerical approximation Sciences and techniques of general use Metal forming 74S05 Dynamics Explicit 74S20 Implicit Combined method Nonlinearities 74H05 Numerical analysis Numerical integration Implicit method Explicit method Applied mathematics Optimal solution Sheet metal Oscillation Iterative method Numerical simulation Numerical stability
ISSN:	0377-0427, 1879-1778, 1879-1778
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Abstract	In order to simulate stamping processes, an explicit method, which is conditionally stable, is generally thought to be the most adapted. Such an algorithm presents the advantage of being noniterative while, the contact configuration evolves rapidly, and the conditional stability is not a disadvantage since time steps must be small enough anyway for an accurate computation. But during the springback simulation, an implicit method, which is iterative, presents the advantage of unconditional stability. The optimal solution is then to have both implicit and explicit methods readily available in the same code and to be able to switch automatically from one to the other. Criteria that decide to switch from a method to another, depending on the current dynamic, have been developed. Implicit restarting conditions are also proposed that annihilate numerical oscillations resulting from an explicit calculation.
AbstractList	In order to simulate stamping processes, an explicit method, which is conditionally stable, is generally thought to be the most adapted. Such an algorithm presents the advantage of being noniterative while, the contact configuration evolves rapidly, and the conditional stability is not a disadvantage since time steps must be small enough anyway for an accurate computation. But during the springback simulation, an implicit method, which is iterative, presents the advantage of unconditional stability. The optimal solution is then to have both implicit and explicit methods readily available in the same code and to be able to switch automatically from one to the other. Criteria that decide to switch from a method to another, depending on the current dynamic, have been developed. Implicit restarting conditions are also proposed that annihilate numerical oscillations resulting from an explicit calculation. (C) 2003 Elsevier B.V. All rights reserved. In order to simulate stamping processes, an explicit method, which is conditionally stable, is generally thought to be the most adapted. Such an algorithm presents the advantage of being noniterative while, the contact configuration evolves rapidly, and the conditional stability is not a disadvantage since time steps must be small enough anyway for an accurate computation. But during the springback simulation, an implicit method, which is iterative, presents the advantage of unconditional stability. The optimal solution is then to have both implicit and explicit methods readily available in the same code and to be able to switch automatically from one to the other. Criteria that decide to switch from a method to another, depending on the current dynamic, have been developed. Implicit restarting conditions are also proposed that annihilate numerical oscillations resulting from an explicit calculation.
Author	Stainier, L. Noels, L. Ponthot, J.-P.
Author_xml	– sequence: 1 givenname: L. surname: Noels fullname: Noels, L. email: l.noels@ulg.ac.be – sequence: 2 givenname: L. surname: Stainier fullname: Stainier, L. – sequence: 3 givenname: J.-P. surname: Ponthot fullname: Ponthot, J.-P.
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Cites_doi	10.1016/0924-0136(94)01369-C 10.1115/1.2900803 10.1016/S0045-7825(96)01036-5 10.1016/S0168-874X(99)00009-8 10.1016/0924-0136(94)01401-L 10.1016/S0924-0136(00)00580-X 10.1016/S0924-0136(98)00059-4 10.1016/0924-0136(94)01368-B
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Keywords	Metal forming 74S05 Dynamics Explicit 74S20 Implicit Combined method Nonlinearities 74H05 Numerical analysis Numerical integration Implicit method Explicit method Applied mathematics Optimal solution Sheet metal Oscillation Iterative method Numerical simulation Numerical stability
Language	English
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SubjectTerms	Combined method Dynamics Engineering Sciences Engineering, computing & technology Exact sciences and technology Explicit Implicit Ingénierie mécanique Ingénierie, informatique & technologie Materials Mathematics Mechanical engineering Mechanics Metal forming nonlinearitics Nonlinearities Numerical analysis Numerical analysis. Scientific computation Numerical approximation Sciences and techniques of general use
Title	Combined implicit/explicit time-integration algorithms for the numerical simulation of sheet metal forming
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