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