Plastic and dissipated work and stored energy

Chrysochoos, André; Maisonneuve, O.; Martin, Germain; Caumon, H.; Chezeaux, J.C.

doi:10.1016/0029-5493(89)90110-6

Cited by 126 publications

(71 citation statements)

References 7 publications

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“…A complete thermodynamics-based approach cannot be applied in this case. This agrees with the experiment-based remark of Chrysochoos et al [1989] concerning constitutive modelling: some engineering models are not able to reproduce observed phenomena. In order to palliate this deficiency, simplifications are usually done to evaluate temperature growth under adiabatic plasticity conditions.…”

Section: Summary and Complementary Analysissupporting

confidence: 89%

“…for taking into account the thermomechanical coupling under adiabatic conditions without solving the thermal problem, the inelastic heat fraction remains an important subject of investigation, the accuracy of temperature measurement increasing thanks to the improvement of the relevant devices. In this context, some experimental determination of heating during plastic deformation at various strain rates tends to prove the dependence of the inelastic heat fraction on strain, strain rate and temperature [Chrysochoos et al 1989;Kapoor and Nemat-Nasser 1998;Oliferuk et al 2004]. Theoretical analyses [Aravas et al 1990;Zehnder 1991] devoted to the subject agree with the tendency mentioned above but qualitative results appear contradictory [Mason et al 1994] depending on the basic concepts used.…”

Section: Introductionmentioning

confidence: 84%

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Inelastic heat fraction evaluation for engineering problems involving dynamic plastic localization phenomena

Longère

Dragon²

2009

J. Mech. Mater. Struct.

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The evaluation of the temperature produced during adiabatic dissipative processes for a large class of engineering materials (metals and some polymers) remains a major subject of interest, notably in the fields of high-speed machining and impact dynamics. The hypothesis consisting in considering the proportion of plastic work dissipated as heat (quantified by the inelastic heat fraction β) as independent on the loading path is now recognized as highly simplistic. Experimental investigations have shown indeed the dependence of the inelastic heat fraction on strain, strain rate and the temperature itself. The theoretical studies available nowadays are not entirely conclusive on various features regarding the history dependence and the evolution of β. The present work attempts to provide a systematic approach to the temperature rise and the inelastic heat fraction evolution for a general loading within the framework of thermoelastic/viscoplastic standard modelling including a number of quantitative variants regarding strain hardening/thermal softening and thermomechanical coupling description. The theoretical results thus obtained are confronted with experimental data from the literature. An analysis of the effects of various model simplifications on the evaluation of temperature growth with regard to conditions for dynamic plastic localization occurrence is also carried out. It is shown that the value of critical shear strain at localization incipience is strongly dependent on the level of simplification admitted.

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Section: Summary and Complementary Analysissupporting

confidence: 89%

Section: Introductionmentioning

confidence: 84%

Inelastic heat fraction evaluation for engineering problems involving dynamic plastic localization phenomena

Longère

Dragon²

2009

J. Mech. Mater. Struct.

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“…According to [16,47] the kinematical hardening model assures the decrease in the stored energy. The kinematic hardening plays important role for small deformations, but for greater deformations the isotropic hardening plays an important role.…”

Section: Discussion Of Experimental Data For the Austenitic Steelmentioning

confidence: 99%

“…Authors of this work do not have the experimental data which could let them determine the tensor parameters κ and π for examined austenitic steel 00H19N17Pr. The tensor parameters (κ and π) are used for a description of the kinematic hardening in the H-M-H hypothesis [3,7,9,16].…”

Section: Discussion Of Experimental Data For the Austenitic Steelmentioning

confidence: 99%

Thermodynamic potential of free energy for thermo-elastic-plastic body

Śloderbach

Pająk

2017

Continuum Mech. Thermodyn.

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The procedure of derivation of thermodynamic potential of free energy (Helmholtz free energy) for a thermo-elastic-plastic body is presented. This procedure concerns a special thermodynamic model of a thermo-elastic-plastic body with isotropic hardening characteristics. The classical thermodynamics of irreversible processes for material characterized by macroscopic internal parameters is used in the derivation. Thermodynamic potential of free energy may be used for practical determination of the level of stored energy accumulated in material during plastic processing applied, e.g., for industry components and other machinery parts received by plastic deformation processing. In this paper the stored energy for the simple stretching of austenitic steel will be presented. KeywordsFree energy · Thermo-elastic-plastic body · Enthalpy · Exergy · Stored energy of plastic deformations · Mechanical energy dissipation · Thermodynamic reference state

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“…Numerous authors have conducted both experimental and theoretical studies regarding this phenomenon, e.g. Chrysochoos et al (1989); Mason et al (1994); Kapoor and NematNasser (1998); Hodowany et al (2000); Rosakis et al (2000); Håkansson et al (2005); Ristinmaa et al (2007). In particular, the earlier comprehensive review work by Bever et al (1973) in which experimental methods and results regarding the stored energy of cold work are discussed should be mentioned.…”

Section: Introductionmentioning

confidence: 99%

Model Describing Material-Dependent Deformation Behavior in High-Velocity Metal Forming Processes

2009

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A constitutive model for rate dependent and thermomechanically coupled plasticity at finite strains is presented. The plasticity model is based on J 2 plasticity and rate dependent behavior is included by use of a Perzyna-type formulation. Adiabatic heating effects are handled in a consistent way and not, as is a common assumption, through a constant conversion of the internal work rate into rate of heating. The conversion factor is instead derived from thermodynamic considerations. The stored energy is assumed to be a function of a single internal variable which differs from the effective plastic strain. This allows a thermodynamically consistent formulation to be obtained which, as shown, can be calibrated by use of simple procedures. Choosing 100Cr6 steel in two differently heat treated conditions as prototype material, experimental tests are performed enabling the model to be calibrated. Significant differences in deformation behavior are noted as the differently heat treated specimens are compared. In addition, the local stress-updating procedure is reduced to a single scalar equation, permitting a very efficient numerical implementation of the model. The constitutive formulation proposed was employed in an explicit finite element solver, illustrative simulations of a high velocity metal forming process being performed to demonstrate the capabilities of the model and certain characteristic traits of the

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Plastic and dissipated work and stored energy

Cited by 126 publications

References 7 publications

Inelastic heat fraction evaluation for engineering problems involving dynamic plastic localization phenomena

Inelastic heat fraction evaluation for engineering problems involving dynamic plastic localization phenomena

Thermodynamic potential of free energy for thermo-elastic-plastic body

Model Describing Material-Dependent Deformation Behavior in High-Velocity Metal Forming Processes

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