Derivation of the normality rule for time-dependent deformation using the principle of maximal rate of entropy production

• Autorzy: Santaoja K.
• Języki publikacji: EN

Abstrakty

EN

Derivation of the normality rule for time-dependent deformation by the principle of the maximal rate of entropy production was carried out. The derivation was made within the framework of thermomechanics with internal variables. Since Ziegler did not cast his principle into an exact mathematical framework, it was done here. A condition for the multiplier in the normality rule (c.f. plasticity multiplier) was derived. If the condition gives a constant value for the multiplier, the specific (complementary) dissipation function was shown to be a homogeneous function. In the case where the value of the multiplier depends on the state variables, the dissipation potential is a non-homogeneous function.

Słowa kluczowe

EN

thermodynamics; thermomechanics; internal variables; dissipation; entropy production; normality rule

PL

termodynamika; termomechanika; dyssypacja; entropia

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2003
• Tom: Vol. 55, nr 5-6
• Strony: 501--518
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Santaoja K.

• Laboratory for Mechanics of Materials, Helsinki University of Technology, Otakari 4, FIN-02150 Espoo, Finland

Bibliografia

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