The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
A mixed formulation for frictional contact problems prone to Newton like solution methods
Open accessAbstract
Abstract A mixed penalty-duality formulation of the frictional contact problem, inspired from an augmented Lagrangian approach is proposed. The continuity of the resulting conewise linear operator is used to establish a uniqueness condition on the coefficient of friction. Modified and generalized Newton methods are examined and sufficient conditions for their convergence conjectured. A cylindrical frictional contact problem assesses the stability of the method. Mixed penalty-duality methods are found more accurate and stabler than penalty methods and as economical as them.
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Cites
Optimization and Nonsmooth Analysis
Clarke, F. H. (1990) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971309 · Cited by 10,264
Multiplier and gradient methods
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Consistent tangent operators for rate-independent elastoplasticity
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Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods
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Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
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Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics.
Oden, J. T., Glowinski, R., & Tallec, P. L. (1992) · Mathematics of Computation · doi:10.2307/2153048 · Cited by 972
Cited by
Engineering and Economic Applications of Complementarity Problems
Ferris, M. C., & Pang, J. S. (1997) · SIAM Review · doi:10.1137/s0036144595285963 · Cited by 1,081
Grzeszykowski, B., Lewandowski-Szewczyk, M. J., & Niedośpiał, M. (2023) · Engineering Structures · doi:10.1016/j.engstruct.2023.116800 · Cited by 2
Metadata
- Authors
- Alart, P., & Curnier, A.
- Venue
- Computer Methods in Applied Mechanics and Engineering
- Publisher
- Elsevier BV
- Published
- 1991-11
- Volume
- 92
- Issue
- 3
- Pages
- 353-375
- ISSN
- 0045-7825 (ISSN-L)
- OpenAlex
- W1979668890
- Cited by
- 758
- References
- 8
- FWCI
- 1.89
- Type
- journal article
- Language
- en
- Open access
- green
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- Alart, P., & Curnier, A. (1991). A mixed formulation for frictional contact problems prone to Newton like solution methods. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/0045-7825(91)90022-x
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