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Haslinger, Jaroslav; Hlavacek, Ivan

Contact between elastic perfectly plastic bodies. (English) Zbl 0495.73094

Apl. Mat. 27, 27-45 (1982).
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Cited in 11 Documents

MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
49M37 Numerical methods based on nonlinear programming

Keywords:

elastic perfectly plastic; Hencky’s law; extension of Haar-Kármán principle; case of unilateral contact on boundary; piecewise constant triangular elements; convergence; any regular family of triangulations; simplification; approximate problem with bounded contact zone; nonlinear programming

Citations:

Zbl 0449.73117; Zbl 0465.73144
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\textit{J. Haslinger} and \textit{I. Hlavacek}, Apl. Mat. 27, 27--45 (1982; Zbl 0495.73094)
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References:

[1] J. Haslinger I. Hlaváček: Contact between elastic bodies. I. Continuous problems. Apl. mat. 25 (1980), 324-347. · Zbl 0449.73117
[2] J. Haslinger I. Hlaváček: Contact between elastic bodies. II. Finite element analysis. Apl. mat. 26 (1981), 263-290. · Zbl 0465.73144
[3] J. Haslinger I. Hlaváček: Contact between elastic bodies. III. Dual finite element analysis. Apl. mat. 26 (1981), 321-344. · Zbl 0513.73088
[4] G. Duvaut J. L. Lions: Les inéquations en mécanique et en physique. Paris, Dunod 1972. · Zbl 0298.73001
[5] B. Mercier: Sur la théorie et l’analyse numérique de problèmes de plasticité. Thésis, Université Paris VI, 1977.
[6] I. Hlaváček J. Nečas: Mathematical theory of elastic and elasto-plastic solids. Elsevier, Amsterdam 1981.
[7] P.-M. Suquet: Existence and regularity of solutions for plasticity problems. Proc. IUTAM Congress in Evanston - 1978.
[8] J. Céa: Optimisation, théorie et algorithmes. Dunod, Paris 1971. · Zbl 0211.17402
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.