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Evolutionary variational inequalities and applications in plasticity. (English) Zbl 0453.49009

MSC:

49J40 Variational inequalities
49J27 Existence theories for problems in abstract spaces
49M30 Other numerical methods in calculus of variations (MSC2010)
74C99 Plastic materials, materials of stress-rate and internal-variable type
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References:

[1] G. Duvaut J. L. Lions: Les inéquations en méchanique et en physique. Dunod, Paris 1972. · Zbl 0298.73001
[2] Q S. Nguyen: Materiaux élastoplastiques écrouissables. Arch. of Mech. 25, 1973, p. 695.
[3] K. Gröger: Quasi-static and dynamic behaviour of elastic-plastic materials. To appear.
[4] J. Kratochvíl J. Nečas: On the solution of the traction boundary-value problem for elastic-inelastic materials. CMUC 14 (4), 1973, 755-760.
[5] I. Hlaváček J. Nečas: On inequalities of Korn’s type. Part I, II. Archive for Rat. Mech. and Anal., Vol. 36, No. 4, 1970, 305-334. · Zbl 0193.39001
[6] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Praha 1967. · Zbl 1225.35003
[7] S. Fučík J. Nečas V. Souček: Introduction to variational calculus. (Czech.) Lecture Notes of Prague University, 1972.
[8] K. Washizu: Variational methods in elasticity and plasticity. Pergamon Press, 1968. · Zbl 0164.26001
[9] J. Nečas: On the formulation of the traction problem for the flow theory of plasticity. Apl. mat. 18 (2), 1973, 119-127.
[10] I. Hlaváček J. Nečas: Introduction to the mathematical theory of elastic and elastic-plastic bodies. (Czech.), Praha
[11] N. Bourbaki: Integration. Paris 1965. · Zbl 0136.03404
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