Plasticity problems in metals

Sachs, G.

doi:10.1039/tf9282400084

Cited by 51 publications

(26 citation statements)

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“…2) along z-and x-directions, neglecting differential quantities of second order and simplifying adequately, it is possible to write [9]:…”

Section: Simulations Algorithmsmentioning

confidence: 99%

“…Slab method was initially developed by Sachs in 1928 [9]. It is a method very easy to apply and that does not require big calculation resources neither of time.…”

Section: Introductionmentioning

confidence: 99%

“…Then, different analytical, numerical, empirical and experimental methods have been developed in order to analyse the best combination of them [5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

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Calculation of the forward tension in drawing processes

Rubio

Camacho

Sevilla

et al. 2005

Journal of Materials Processing Technology

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“…2) along z-and x-directions, neglecting differential quantities of second order and simplifying adequately, it is possible to write [9]:…”

Section: Simulations Algorithmsmentioning

confidence: 99%

“…Slab method was initially developed by Sachs in 1928 [9]. It is a method very easy to apply and that does not require big calculation resources neither of time.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Calculation of the forward tension in drawing processes

Rubio

Camacho

Sevilla

et al. 2005

Journal of Materials Processing Technology

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“…Therefore, it is useful to use one of these micromechanical models for polycrystalline materials in order to compute texture evolution and yield surfaces. The main crystal plasticity models are Taylor type (Asaro and Needleman, 1985;Bishop and Hill, 1951;Kalidindi et al, 1992;Kocks, 1970;Lin, 1957;Taylor, 1938), Sachs type Leffers and Pedersen, 2002;Leffers and Ray, 2009;Sachs, 1928) and self-consistent type (Abdul-Latif, 2004;Abdul-Latif and Radi, 2010;Berveiller and Zaoui, 1978;Dingli et al, 2000; 0749-6419/$ -see front matter Ó 2010 Elsevier Ltd. All rights reserved. doi:10.1016/j.ijplas.2010.04.003 Hill, 1965;Hutchinson, 1976;Lebensohn and Tomé, 1993;Lebensohn et al, 2007;Molinari et al, 1987Molinari et al, , 1997Nemat-Nasser and Obata, 1986).…”

Section: Introductionmentioning

confidence: 99%

Microstructural effects on yield surface evolution in cubic metals using the viscoplastic ϕ-model

M’Guil

Ahzi

Barlat

et al. 2011

International Journal of Plasticity

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“…Simple polycrystal models of the last century include the Sachs [49] and Taylor models [50]. In our work, since elastic deformation as well as creep effects are negligible during metal forming, and so we adopt a visco-plastic model instead of elasto-plastic or viscoelastic models.…”

Section: Multi-scale Constitutive Modelingmentioning

confidence: 99%

Multi-scale investigation of highly anisotropic zinc alloys using crystal plasticity and inverse analysis

Cauvin

Raghavan

Bouvier

et al. 2018

Materials Science and Engineering: A

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. A B S T R A C TZinc and its alloys are important industrial materials due to their high corrosion resistance, low cost and good ductility. However, the characterization of these materials remains a difficult task due to their highly anisotropic behavior, the latter being due to the influence of microstructural effects, i.e. loading orientation-dependent activation of different families of slip systems and subsequent texture evolution, rendering the development of a reliable material model considerably difficult. A micro-mechanical approach based on polycrystal plasticity would better describe the physical mechanisms underlying the macroscopic behavior. This improved model should ostensibly improve the comprehension of the mechanical behavior, compared to the macroscopic approach using solely phenomenological anisotropy models along with a prohibitively large number of experiments required to identify the material parameters. In this paper, a multi-scale Visco-Plastic Self-Consistent (VPSC) approach is used. It is based on a micro-scale model calibrated by microstructural and deformation mechanism information based on Electron Back-Scattered Diffraction (EBSD) to describe the macroscopic anisotropic mechanical response during sheet metal deformation. The critical resolved shear stress (CRSS) as well as the micro-scale crystal parameters are obtained by an inverse analysis comparing the simulated and experimental results in terms of obtained tensile curves along three different directions. In order to obtain a global solution for the identification, we then use the Covariance Matrix Adaptation-Evolution Strategy (CMA-ES) genetic algorithm to the inverse problem. We validate our approach by comparing the simulated and experimental textures and activated slip systems. Finally, the identified mechanical parameters are used to investigate the anisotropy of the alloy and predict its formability by determining the corresponding R-values and Hill yield coefficients.

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Plasticity problems in metals

Cited by 51 publications

References 0 publications

Calculation of the forward tension in drawing processes

Calculation of the forward tension in drawing processes

Microstructural effects on yield surface evolution in cubic metals using the viscoplastic ϕ-model

Multi-scale investigation of highly anisotropic zinc alloys using crystal plasticity and inverse analysis

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