Rate-dependent inelastic constitutive equation: the extension of elastoplasticity

Hashiguchi, Koichi; Okayasu, Takashi; Saitoh, K.

doi:10.1016/j.ijplas.2004.04.001

Cited by 24 publications

(5 citation statements)

References 52 publications

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“…A large number of specialized forms of these modern unified viscoplastic models (e.g., isotropic or anisotropic, fully associative or non-associative, isothermal or non-isothermal, etc.) have been successfully applied to different metals (Valanis, 1966;Germain et al, 1983;Lemaitre and Chaboche, 1990;Robinson and Duffy, 1990;Robinson et al, 1987;Freed and Walker, 1993;Simo and Taylor, 1986;Abed and Voyiadjis, 2005;Khan et al, 2006;Ganapathysubramanian and Zabaras, 2005;Hashiguchi et al, 2005;Colak, 2005;Menzel et al, 2005).…”

Section: Introductionmentioning

confidence: 99%

A coupled temperature and strain rate dependent yield function for dynamic deformations of bcc metals

Voyiadjis

Abed

2006

International Journal of Plasticity

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Section: Introductionmentioning

confidence: 99%

A coupled temperature and strain rate dependent yield function for dynamic deformations of bcc metals

Voyiadjis

Abed

2006

International Journal of Plasticity

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“…As a special case in this approach, the dependence on time may not be significant and thus a general unified viscoplastic model is reduced to a plastic model. Some other researchers believe that inelastic deformation, whatever loading condition, proceeds with two simultaneous time-dependent and time-independent mechanisms [7,8,10,14,15]. The relative significance of each part determines whether the process is time dependent or not.…”

Section: Model Based On Plasticity-viscoplasticitymentioning

confidence: 99%

Analysis of axial strain in one-dimensional loading by different models

Aryanpour

Farzaneh

2010

Acta Mech Sin

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Different phenomenological equations based on plasticity, primary creep (as a viscoplastic mechanism), secondary creep (as another viscoplastic mechanism) and different combinations of these equations are presented and used to describe the material inelastic deformation in uniaxial test. Agreement of the models with experimental results and with the theoretical concepts and physical realities is the criterion of choosing the most appropriate formulation for uniaxial test. A model is thus proposed in which plastic deformation, primary creep and secondary creep contribute to the inelastic deformation. However, it is believed that the hardening parameter is composed of plastic and primary creep parts. Accordingly, the axial plastic strain in a uniaxial test may no longer be considered as the hardening parameter. Therefore, a proportionality concept is proposed to calculate the plastic contribution of deformation.

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“…Using the overstress model, the consistency conditions are not fulfilled and the stress states outside the yield surface are allowed (see Zaera and Fernández-Sáez, 2006). The main problems of the overstress model have been discussed by Hashiguchi et al. (2005).…”

Section: Introductionmentioning

confidence: 99%

A thermodynamic consistent rate-dependent elastoplastic-damage model

Ganjiani

2016

International Journal of Damage Mechanics

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In this article, a rate-dependent elastoplastic-damage constitutive model considering the effect of strain rate has been developed. The derivation of this model has been established based on the irreversible thermodynamics with internal variables within the fundamentals of Continuum damage mechanics (CDM). For investigating the rate effect, an additional power function dependent on the effective strain rate has been involved in the plastic dissipation function (dynamic plastic yield surface). The damage has been assumed as a tensor-type variable and based on the energy equivalence hypothesis, the damage evolution has been developed. The proposed constitutive model has been implemented into user-defined subroutines UMAT and VUMAT in the finite-element program ABAQUS/(Standard and Explicit). For this purpose, the implicit and explicit stress integration algorithms of the model have been explained. The model has been validated by comparing the predicted results with experimental data conducted on Al2024-T3. These experiments are including the tensile and double-notched tests. Furthermore, the numerical results have been compared with some data available in the literature. The numerical examples show the excellent correlation between experiments and simulations for stress (or force) and damage results.

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Rate-dependent inelastic constitutive equation: the extension of elastoplasticity

Cited by 24 publications

References 52 publications

A coupled temperature and strain rate dependent yield function for dynamic deformations of bcc metals

A coupled temperature and strain rate dependent yield function for dynamic deformations of bcc metals

Analysis of axial strain in one-dimensional loading by different models

A thermodynamic consistent rate-dependent elastoplastic-damage model

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