Solution of Signorini’s contact problem in the deformation theory of plasticity by secant modules method. (English) Zbl 0512.73097


74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74C99 Plastic materials, materials of stress-rate and internal-variable type
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
49J40 Variational inequalities
Full Text: EuDML Link


[1] J. Nečas I. Hlaváček: Mathematical Theory of Elastic and Elasto-Plastic Bodies. Elsevier, Amsterdam 1981.
[2] J. Haslinger I. Hlaváček: Contact between elastic bodies. Apl. mat. 25 (1980), 324-348, 26 (1981), 263-290, 321-344.
[3] I. Hlaváček J. Nečas: On inequalities of Korn’s type. Arch. Ratl. Mech. Anal., 36 (1970), 305-334. · Zbl 0193.39001
[4] J. Nečas: On regularity of solutions to nonlinear variational inequalities for second-order elliptic systems. Rend. di Matematica 2 (1975), vol. 8, Ser. VL, 481-498.
[5] L. M. Kačanov: Mechanika plastičeskich sred. Moskva 1948.
[6] G. Fichera: Boundary value problems of elasticity with unilateral constraints. S. Flüge (ed): Encycl. of Physics, vol. VIa/2, Springer-Verlag, Berlin, 1972.
[7] I. Hlaváček J. Lovíšek: A finite element analysis for the Signorini problem in plane elastostatics. Apl. mat. 22, (1977) 215-228, 25 (1980), 273-285. · Zbl 0369.65031
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.