A numerical study of hypoelastic and hyperelastic large strain viscoplastic Perzyna type models

Careglio, Claudio; Canales, Cristian; Garino, Carlos García; Mirasso, Aníbal; Ponthot, Jean‐Philippe

doi:10.1007/s00707-015-1545-6

Cited by 4 publications

(4 citation statements)

References 9 publications

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“…The time-space fractional derivatives were calculated based on the Caputo and nonlinear governing equations solved through finite difference method mixed with L-1 algorithm. Maxwell model describes the rheological effects of the viscoelastic fluid as reported by Careglio et al [16][17][18]. The results showed that the temperature and velocity boundary layers increased with increasing fractional derivative parameters.…”

Section: Introductionmentioning

confidence: 78%

Numerical Investigation of Nanofluid Flow over a Backward Facing Step

Kumar

2022

Aerospace

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Nanofluid flow over a backward facing step was investigated numerically at low Reynolds number and the heat transfer was analyzed and reported. Al2O3–H2O nanofluids of different volume fractions ( = 1–5%) were used as the material with uniform heat flux (UHF) of 5000 W/m2 at bottom wall for Reynolds number 200–600. The backward facing step of two geometries was investigated for two expansion ratios, 1.9432 and 3.5. The SIMPLE algorithm was used in the finite volume solver to solve the Naiver–Stokes equation. Temperature difference at inlet and boundaries, heat transfer coefficient, Nusselt number, coefficient of skin friction, and temperature contours were reported. The results show that when nanofluids are used, the coefficient of heat transfer and Nusselt number increased at all volume fractions and Reynolds number for both the expansion ratios. The coefficient of heat transfer at = 5% was higher by 63.11% and 9.66% than the pure water for ER = 1.9432 and ER = 3.5. At = 5%, the outlet temperature for the duct decreased by 10 K and 5 K when compared to the pure water for ER = 1.9432 and ER = 3.5. Coefficient of skin friction and outlet temperature decreased for both the volume fractions in both the expansion ratios.

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Section: Introductionmentioning

confidence: 78%

Numerical Investigation of Nanofluid Flow over a Backward Facing Step

Kumar

2022

Aerospace

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“…Therefore, the rheological model is more suitable to deal with the flow and deformation law of quasi solid zone during solidification. [34][35][36] The stress calculation of post solidification stage often uses some mechanical models, [37][38][39][40] including the thermoelastic model, the thermoviscoelastic model, the thermoelastoplastic model, the thermoelastic viscoplastic model, the Perzyna model, the Heyn model and the unified variable model.…”

Section: Simulation Of Stress Fieldmentioning

confidence: 99%

“…The stress calculation of post solidification stage often uses some mechanical models, 37–40 including the thermoelastic model, the thermoviscoelastic model, the thermoelastoplastic model, the thermoelastic viscoplastic model, the Perzyna model, the Heyn model and the unified variable model.…”

Section: Simulation Of Stress Fieldmentioning

confidence: 99%

Progress in numerical simulation of casting process

Chen

Zhao

et al. 2022

Measurement and Control

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The numerical simulation of casting process can calculate casting filling process, solidification process, and obtain change and coupling information of temperature field, velocity field, pressure field, stress field and microstructure. At present, numerical simulation of casting process has been quite mature at the macro level, and is developing towards the direction of micro level. The coupling and integration of different fields between temperature, flow, stress, and microstructure, is the shape of things for numerical simulation research of casting process. This paper reviews and summarizes the research history and current situation of numerical simulation of casting process. The progress in numerical simulation from five aspects of casting solidification, casting filling, stress field, microstructure, commercial software, is presented.

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“…The integration of the constitutive equations has been performed using the radial return mapping algorithm, see refs. [36,37].…”

Section: Finite Element Modelmentioning

confidence: 99%

Modeling dynamic spherical cavity expansion in elasto-viscoplastic media

et al. 2020

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In this paper, we extend the dynamic spherical cavity expansion model for rate-independent materials developed in refs. [1,2,3] to viscoplastic media. For that purpose, we describe the material behavior with an isotropic Perzynatype overstress formulation [4,5] in which the material rate-dependence is controlled by the viscosity parameter η. The theoretical predictions of the cavity expansion model, which assumes that the cavity expands at constant velocity, are compared with finite element simulations performed in ABAQUS/Explicit [6]. The agreement between theory and numerical simulations is excellent for the whole range of cavitation velocities investigated, and for different values of the parameter η. We show that, as opposed to the steady-state self-similar solutions obtained for rate-independent materials [1, 2, 3], the material viscosity leads to time-dependent cavitation fields and stress relaxation as the cavity enlarges. In addition, we also show that the material viscosity facilitates to model the shock waves that emerge at the highest cavitation velocities investigated, controlling the amplitude and the width of the shock front.

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A numerical study of hypoelastic and hyperelastic large strain viscoplastic Perzyna type models

Cited by 4 publications

References 9 publications

Numerical Investigation of Nanofluid Flow over a Backward Facing Step

Numerical Investigation of Nanofluid Flow over a Backward Facing Step

Progress in numerical simulation of casting process

Modeling dynamic spherical cavity expansion in elasto-viscoplastic media

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