Geodesic
On the formulation of the traction problem for the flow theory of plasticity
Applications of Mathematics, Tome 18 (1973) no. 2, pp. 119-127 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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An abstract ordinary differential equation with retarded argument is deduced as a model of incremental, rate independent strain theory. The concept of experience of materials as well as some quantities chracterizing the hardering of the material are introduced. The traction problem is considered, but neither the existence nor the uniqueness of the solution is proved. This remains an open problem.
An abstract ordinary differential equation with retarded argument is deduced as a model of incremental, rate independent strain theory. The concept of experience of materials as well as some quantities chracterizing the hardering of the material are introduced. The traction problem is considered, but neither the existence nor the uniqueness of the solution is proved. This remains an open problem.
DOI : 10.21136/AM.1973.103458
Classification : 34G99, 34K99, 74C99 
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Nečas, Jindřich. On the formulation of the traction problem for the flow theory of plasticity. Applications of Mathematics, Tome 18 (1973) no. 2, pp. 119-127. doi: 10.21136/AM.1973.103458

[1] K. Washizu: Variational methods in elasticity and plasticity. Pergamon Press, 1968. | MR | Zbl

[2] J. Kratochvíl O. W. Dillon: Thermodynamics of Elastic-Plastic Materials as a Theory with Internal State Variables. J. Applied Physics, Vol. 40, n. 8, 3207-3218, 1969.

[3] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. | MR

[4] I. Hlaváček J. Nečas: On Inequalities of Korn's Type. Archive for Rat. Mech. Anal. Vol. 36, No. 4, 1970, 305-311, 312-334. | DOI

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