The thermodynamical theory of elasto-viscoplasticity

Perzyna, P.

Artykuł - szczegóły

Tytuł artykułu

The thermodynamical theory of elasto-viscoplasticity

Autorzy

Perzyna P.

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Abstrakty

The main objective of this paper is to survey some recent developments in the constitutive modelling of inelastic polycrystalline solids, which may be used for the description of important problems in modern manufacturing processes, and particularly for mesomechanical issues. This description is needed for the investigation by using the numerical methods how to avoid unexpected plastic strain localization and fracture phenomena in manufacturing technology. Since modern manufacturing processes lead to very complex states of stress and deformation for a solid body under consideration, then in the description we have to take into account the influence of stress triaxiality and plastic spin effects. In this paper emphasis is laid on experimental and physical foundations as well as on mathematical constitutive modelling for the description of localization of plastic deformation and various modes of fracture phenomena in polycrystalline solids. The description of kinematics of finite deformations and the stress tensors is given. The development of a thermo-elasto-viscoplastic model within the thermo-dynamic framework of the rate-type covariance constitutive structure with finite set of the internal state variables is presented. Particular attention is focused on the determination of the evolution laws for the internal state variables. Fracture criterion based on the evolution of microdamage is formulated. By assuming that the mechanical relaxation time is equal to zero, the thermo-elasto-plastic (rate-independent) response of the damaged material can be accomplished.

Słowa kluczowe

thermodynamical viscoplasticity

termodynamika lepkoplastyczność

Wydawca

Instytut Podstawowych Problemów Techniki PAN

Czasopismo

Engineering Transactions

Rocznik

2005

Tom

Vol. 53, iss. 3

Strony

235--316

Opis fizyczny

Bibliogr. 170 poz., rys., wykr.

Twórcy

autor

Perzyna P.

Polish Academy of Sciences, Institute of Fundamental Technological Research [Polska Akademia Nauk], Świętokrzyska 21, 00-049 Warsaw

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