Applied numerical mathematics, 2006-02, Vol.56 (2), p.163-192
2006
Volltextzugriff (PDF)
Details
- Autor(en) / Beteiligte
- Titel
- Hybrid discretization of the Signorini problem with Coulomb friction. Theoretical aspects and comparison of some numerical solvers
- Ist Teil von
- Applied numerical mathematics, 2006-02, Vol.56 (2), p.163-192
- Ort / Verlag
- Amsterdam: Elsevier B.V
- Erscheinungsjahr
- 2006
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- The purpose of this work is to present in a general framework the hybrid discretization of unilateral contact and friction conditions in elastostatics. A projection formulation is developed and used. An existence and uniqueness results for the solutions to the discretized problem is given in the general framework. Several numerical methods to solve the discretized problem are presented (Newton, SOR, fixed points, Uzawa) and compared in terms of the number of iterations and the robustness with respect to the value of the friction coefficient.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0168-9274eISSN: 1873-5460, 0168-9274DOI: 10.1016/j.apnum.2005.03.002Titel-ID: cdi_hal_primary_oai_HAL_hal_00690594v1
- Format
- –
- Schlagworte
- Bipotential, Coulomb friction, Exact sciences and technology, Fixed point, Fundamental areas of phenomenology (including applications), Mathematical analysis, Mathematics, Mechanical contact (friction...), Newton method, Numerical Analysis, Partial differential equations, Physics, Sciences and techniques of general use, Signorini problem, Solid mechanics, SOR method, Structural and continuum mechanics, Unilateral contact, Uzawa method