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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 12 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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Full Text: DOI EuDML

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
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