A coupled analysis of viscoplastic deformation and heat transfer—I

Rebelo, Nuno; Kobayashi, Shirô

doi:10.1016/0020-7403(80)90072-7

Cited by 116 publications

(40 citation statements)

References 8 publications

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“…Direct coupled thermo-mechanical finite element algorithms were further developed by Rebelo and Kobayashi [14,15] to allow the numerical simulation of non-steady-state metal forming processes. The technique was applied to solid cylinder and ring compression testing.…”

Section: State-of-the-artmentioning

confidence: 99%

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Coupled Finite Element Flow Formulation

Nielsen

Zhang²,

Alves

et al. 2012

SpringerBriefs in Applied Sciences and Technology

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Section: State-of-the-artmentioning

confidence: 99%

“…The transient heat diffusion equation (3.2.2.4), was firstly implemented by Rebelo and Kobayashi [14,15] in a finite element computer program for modeling thermo-mechanical metal forming processes, and subsequently implemented by Zhang et al [22] for modeling the heat developed by Joule heating in resistance welding.…”

Section: Heat Transfermentioning

confidence: 99%

Coupled Finite Element Flow Formulation

Nielsen

Zhang²,

Alves

et al. 2012

SpringerBriefs in Applied Sciences and Technology

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“…Some models are defined from the thermodynamics of deformation using internal state variables [22][23][24] and others are establish from the concepts of irreversible thermodynamics [25][26][27][28].…”

Section: Thermal Effect Of Plastic Deformationmentioning

confidence: 99%

Modelling the effect of strain rate on the thermomechanical behaviour of AISI 304 stainless steel

Andrade‐Campos

Teixeira-Dias

Grácio

2005

Mat.-wiss. u. Werkstofftech.

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The present work deals with the interdependences between the strain rate and the strain hardening on stainless austenitic steels. Uniaxial tension tests were conducted on a 304 stainless steel at different strain rates in order to analyse the influence of this parameter on the strain hardening and on the material formability. For the strain rates levels analysed (10 -4 to 10 -1 s -1 ) it was also observed that increasing the strain rate from 10 -4 up to 10 -1 s -1 leads to a 25 % difference in uniform tension elongation revealing the curve-crossing phenomenon. Namely, strain rates equal or higher than 10 -2 lead to a stagnation of strain hardening after a tensile strain of about 0.2. In order to investigate the results obtained, microstructural and thermal analyses were conducted and numerical simulations were performed. It was observed that the decreasing of formability of the material is essentially due to thermal aspects. In the discussion, the experimental and numerical results are analysed in terms of thermal softening, phase transformation and strain rate sensibility.

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“…This term can assume different forms depending on the adopted thermoplastic model [37][38][39][40][41][42][43][44]. q i can be expressed as…”

Section: Thermal Effect Of Plastic Deformationmentioning

confidence: 99%

Modelling and numerical analysis of heat treatments on aluminium parts

Andrade‐Campos

Silva

Teixeira-Dias

2006

Numerical Meth Engineering

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SUMMARYA theoretical model suitable for the modelling and analysis of heat treatment problems is described. The presented formulations are implemented incrementally with a non-linear rate-dependent constitutive model, adequate to the simulation of a wide range temperature processes. The large deformation model is based on the additive decomposition of the strain rate tensor in elastic, thermal and viscoplastic parts. The flow rule is a function of the equivalent stress and the deviatoric stress tensor of the temperature field and of a set of internal state variables. The thermal problem is solved by a prediction/correction algorithm. The prediction, which uses a semi-implicit integration, provides a first estimation of the temperature field. The correction stage, performed with a Newton-Raphson implicit scheme, improves the solution until a satisfactory result is found. The thermomechanical coupled problem is solved with a staggered approach. The finite element formulations for coupled analysis of deformation and heat transfer given in this article are validated and applied to the process of quenching of aluminium parts into boiling water.

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A coupled analysis of viscoplastic deformation and heat transfer—I

Cited by 116 publications

References 8 publications

Coupled Finite Element Flow Formulation

Coupled Finite Element Flow Formulation

Modelling the effect of strain rate on the thermomechanical behaviour of AISI 304 stainless steel

Modelling and numerical analysis of heat treatments on aluminium parts

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