Plastic and visco-plastic materials with generalized potential

Halphen, Bernard; Son, Nguyen Quoc

doi:10.1016/0093-6413(74)90034-2

Cited by 45 publications

(30 citation statements)

References 3 publications

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“…The 3D Zaki-Moumni model is a phenomenological macro-scale mathematical model, enunciated under the small perturbations assumption, within the framework of generalized standard materials [15]. The hypothesis for the small perturbations assumption is that the maximum strain obtained is infinitesimally smaller than any relevant dimension of the body and that the undeformed configuration is coincident with the deformed configuration of the material [16].…”

Section: D Zaki-moumni Thermomechanical Modelmentioning

confidence: 99%

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A thermomechanical model accounting for the behavior of shape memory alloys in finite deformations

Haller

Nedjar

Moumni

et al. 2015

Continuum Mech. Thermodyn.

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Shape memory alloys (SMA) comport an interesting behavior. They can undertake large strains and then recover their undeformed shape by heating. In this context, one of the aspects that challenged many researchers was the development of a mathematical model to predict the behavior of a known SMA under real-life conditions, or finite strain. This paper is aimed at working out a finite strain mathematical model for a Ni-Ti SMA, under the superelastic experiment conditions and under uniaxial mechanical loading, based on the Zaki-Moumni 3D mathematical model developed under the small perturbations assumption. Within the current article, a comparison between experimental findings and calculated results is also investigated. The proposed finite strain mathematical model shows good agreement with experimental data.

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Section: D Zaki-moumni Thermomechanical Modelmentioning

confidence: 99%

“…A thermodynamic force A z is considered. It is a sub-gradient of the pseudopotential of dissipation Φ, within the framework of generalized standard materials [15], and is defined by:…”

Section: Proposed Zm Modelmentioning

confidence: 99%

A thermomechanical model accounting for the behavior of shape memory alloys in finite deformations

Haller

Nedjar

Moumni

et al. 2015

Continuum Mech. Thermodyn.

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“…From (33a) and (41) To introduce hardening plasticity, we will follow the presentation of Halphen and Nguyen (1974) which generalizes the maximal plastic work principle. We assume that W is a strictly (smooth hardening) convex (positive hardening) function and we note ~=-aW/Ox, (D=tr:~P+p~bP+~'x~O).…”

Section: Hardening Plasticitymentioning

confidence: 99%

A general theory of thermoporoelastoplasticity for saturated porous materials

Coussy

1989

Transp Porous Med

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A general theory of thermoporoelastoplasticity for saturated porous materials is presented. The theory is derived from the thermodynamics of open systems and irreversible processes. The thermal effects, due to the saturating fluid, are taken into account through a latent heat associated with the increase of fluid mass content. The theory does not assume incompressibility nor infinitesimal displacements for the saturating fluid. To take into account the plastic compressibility of the skeleton, the notion of plastic porosity is introduced. This plastic porosity is different from the overall plastic dilatation. The usual isothermal phenomenological theories appear to be particular cases of the proposed general theory.

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“…The thermodynamic description, based on standard material generalized theory [11], needs to define state variables associated to thermodynamical forces. For that one considers the reversible forces R N and R T associated to the dispalcements u N and u T .…”

Section: Cohesive Zone Modelmentioning

confidence: 99%