An energy-based yield criterion for solids of cubic elasticity and orthotropic limit state

• Autorzy: Kowalczyk K. , Ostrowska-Maciejewska J. , Pęcherski R. B.
• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is to formulate a particular case of the J. Rychlewski yield condition for anisotropic linear elastic solids with Hooke's law and the limit tensor representing elastic range in the Mises yield condition under the assumption that different symmetry of elasticity tensors and the limit tensor appears. The elasticity tensor C is assumed to have cubic symmetry. The yield condition is based on the concept of stored elastic energy density, the theory of proper elastic states and energy orthogonal stress states developed by J. Rychlewski [1-3]. Three possible specifications of energy-based yield condition for cubic crystals are considered: the criterion based on the total distortion energy, the criterion based on the energy accumulated in the three proper states pertinent to cubic symmetry and the energy based criterion for cubic symmetry in elastic range and orthotropic symmetry in the limit state. Physical motivation, comparison with available experimental results and possible applications in mechanics of anisotropic solids as well as in nanomechanics are discussed.

Słowa kluczowe

EN

yield criterion; anizotropic linear elastic solid; elastic energy density; elasticity tensor

PL

kryterium plastyczności; ciało stałe anizotropowe liniowo-sprężyste; gęstość energii odkształcenia sprężystego; tensor sprężystości

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2003
• Tom: Vol. 55, nr 5-6
• Strony: 431--448
• Opis fizyczny: Bibliogr. 30 poz., rys.

Twórcy

autor

Kowalczyk K.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warsaw

autor

Ostrowska-Maciejewska J.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warsaw

autor

Pęcherski R. B.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warsaw

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