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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Bibliographic Details
Published in:Journal of computational and applied mathematics Vol. 168; no. 1-2; pp. 331 - 339
Main Authors: Noels, L., Stainier, L., Ponthot, J.-P.
Format: Journal Article Conference Proceeding
Language:English
Published: Amsterdam Elsevier B.V 01.07.2004
Elsevier
Elsevier Science Bv
Subjects:
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
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
scopus-id:2-s2.0-2942547258
ISSN:0377-0427
1879-1778
1879-1778
DOI:10.1016/j.cam.2003.12.004