Adaptive solution of problems modeled by unified state variable constitutive equations

• Autorzy: Cecot W. , Rachowicz W.
• Konferencja: Polish Conference on Computer methods in mechanics ; (14 ; 26-28.05.1999 ; Rzeszów, Poland)
• Języki publikacji: EN

Abstrakty

EN

The objective of the work was an efficient, numerical implementation of one of the unified, internal-state-variable constitutive models. Such models are general and convenient in numerical applications since they describe elastic, plastic, viscous, damage phenomena and they do not require neither yielding condition nor loading/unloading criterion. However, they result in so called stiff initial-boundary value problems. Therefore, an efficient numerical implementation demand adaptive techniques, both in space and in time. The paper presents application of such an adaptation approach. It uses an improved version of the semi-implicit Euler method with automatic time step control and the h refinement of the FEM meshes based on the interpolation error estimate and on the reliable, selfequilibrated, implicit, a posteriori estimate. Selected problems were solved and both the efficiency and reliability of the unified model were confirmed.

Słowa kluczowe

EN

constitutive equation; internal state variable

PL

równanie konstytutywne; wewnętrzna zmienna stanu

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2000
• Tom: Vol. 7, No. 4
• Strony: 479--492
• Opis fizyczny: Bibliogr. 21 poz., rys., wykr.

Twórcy

autor

Cecot W.

• Cracow University of Technology [Politechnika Krakowska], ul. Warszawska 24, 31-155 Cracow, Poland

autor

Rachowicz W.

• Cracow University of Technology [Politechnika Krakowska], ul. Warszawska 24, 31-155 Cracow, Poland

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