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      KCI등재 SCIE SCOPUS

      Yield function of the orthotropic material considering the crystallographic texture

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      https://www.riss.kr/link?id=A103564509

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      다국어 초록 (Multilingual Abstract)

      On the basis of the energy approach it is reported a development of the yield function and the constitutive equations for the orthotropic material with consideration of the crystal lattice constants and parameters of the crystallographic texture for the general stress state. For practical use in sheet metal forming analysis it is considered different loading scenarios: plane stress and plane strain states. Using the proposed yield function, the influence of single ideal components on the shape of yield surface was analyzed. The six texture components investigated here were cube, Goss, copper, brass, S and rotated cube, as these components are typically observed in rolled sheets from FCC alloys.
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      On the basis of the energy approach it is reported a development of the yield function and the constitutive equations for the orthotropic material with consideration of the crystal lattice constants and parameters of the crystallographic texture for t...

      On the basis of the energy approach it is reported a development of the yield function and the constitutive equations for the orthotropic material with consideration of the crystal lattice constants and parameters of the crystallographic texture for the general stress state. For practical use in sheet metal forming analysis it is considered different loading scenarios: plane stress and plane strain states. Using the proposed yield function, the influence of single ideal components on the shape of yield surface was analyzed. The six texture components investigated here were cube, Goss, copper, brass, S and rotated cube, as these components are typically observed in rolled sheets from FCC alloys.

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      참고문헌 (Reference)

      1 Hill, R., "Theoretical plasticity of textured aggregates" 85 : 179-191, 1979

      2 Arysenskii, Yu.М., "The requirements determination to the sheet anisotropy depending on further forming" 3 : 16-19, 1990

      3 Hershey, A.V., "The plasticity of an isotropic aggregate of anisotropic face centered cubic crystals" 21 : 241-249, 1954

      4 Aryshenskii, V.Yu., "The determination of the material plastic deviator of the anisotropic medium by its texture parameters" 4 : 158-162, 1990

      5 Woodthorpe, J., "The anomalous behavior of aluminum sheet under balance biaxial tension" 12 : 341-347, 1970

      6 Truszkowski, W., "The Plastic Anisotropy in Single Crystals and Polycrystalline Metals" Springer 2001

      7 Hill, R., "The Mathematical Theory of Plasticity" Oxford University Press 1950

      8 Engler, O., "Texture control by thermomechanical processing of AA6xxx Al-Mg-Si sheet alloys for automotive applications - a review" 336 : 249-262, 2002

      9 Tresca, H., "Sur l’Ecoulement des Corps Solides Soumis a de Fortes Pressions" 59 : 754-, 1864

      10 Hirsch, J., "Superior light metals by texture engineering: Optimized aluminum and magnesium alloys for automotive applications" 61 : 818-843, 2013

      1 Hill, R., "Theoretical plasticity of textured aggregates" 85 : 179-191, 1979

      2 Arysenskii, Yu.М., "The requirements determination to the sheet anisotropy depending on further forming" 3 : 16-19, 1990

      3 Hershey, A.V., "The plasticity of an isotropic aggregate of anisotropic face centered cubic crystals" 21 : 241-249, 1954

      4 Aryshenskii, V.Yu., "The determination of the material plastic deviator of the anisotropic medium by its texture parameters" 4 : 158-162, 1990

      5 Woodthorpe, J., "The anomalous behavior of aluminum sheet under balance biaxial tension" 12 : 341-347, 1970

      6 Truszkowski, W., "The Plastic Anisotropy in Single Crystals and Polycrystalline Metals" Springer 2001

      7 Hill, R., "The Mathematical Theory of Plasticity" Oxford University Press 1950

      8 Engler, O., "Texture control by thermomechanical processing of AA6xxx Al-Mg-Si sheet alloys for automotive applications - a review" 336 : 249-262, 2002

      9 Tresca, H., "Sur l’Ecoulement des Corps Solides Soumis a de Fortes Pressions" 59 : 754-, 1864

      10 Hirsch, J., "Superior light metals by texture engineering: Optimized aluminum and magnesium alloys for automotive applications" 61 : 818-843, 2013

      11 Aryshenskii, Yu.М., "Some issues of the plasticity theory of orthotropic medium" 2 : 15-18, 1969

      12 Nakamachi, E., "Simulation of Materials Processing: Theory, Methods and Applications" Swets & Zeitlinger 2001

      13 Banabic, D., "Sheet Metal Forming Processes. Constitutive Modelling and Numerical Simulation" Springer 2010

      14 Drucker, D.C., "Relation of experiments to mathematical theories of plasticity" 16 : 349-357, 1949

      15 Choi, S.H., "Prediction of yield surfaces of textured sheet metals" 30 (30): 377-386, 1999

      16 Barlat, F., "Plastic behavior and stretchability of sheet metals. Part 1: yield function for orthotropic sheets under plane stress conditions" 5 : 51-66, 1989

      17 Barlat, F., "Plane stress yield function for aluminum alloy sheet. Part 1: Theory" 19 : 1297-1319, 2003

      18 Barlat, F., "On linear transformation of stress tensors for the description of plastic anisotropy" 23 : 876-896, 2007

      19 Landolt-Bornstein, "Numerical data and functional relationships in science and technology. New Series. Group III: Crystal and solid state physics. Volume 1: Elastic, piezoelectric, piezooptic and electrooptic constants of crystals" Springer 1966

      20 Kusiak, J., "Microstructure Evolution In Metal Forming Processes" Woodhead Publishing 2012

      21 Saint-Venant, B., "Memoire sur l’establissement des equations differentielles des mouvements interieurs operes dans les corps solides ductiles au dela des limites ou I’ elasticite pourrait les ramener a leur premier etat" 70 : 473-480, 1870

      22 Mises, R., "Mechanik der plastischen Formanderung von Kristallen" 8 : 161-185, 1928

      23 Mises, R., "Mechanik der festen Körper im plastisch deformablen Zustand" l (l): 582-592, 1913

      24 Hosford, W.F., "Mechanical Behavior of Materials" Cambridge University Press 2005

      25 Barlat, F., "Linear transformationbased anisotropic yield functions" 21 : 1009-1039, 2005

      26 Cazacu, O., "Generalization of Drucker’s yield criterion to orthotropy" 6 : 613-630, 2001

      27 Banabic, D, "Formability Of Metallic Materials: Plastic Anisotropy, Formability Testing, Forming Limits" Springer 2000

      28 Huber, M.T., "Die spezifische formänderungsarbeit als Maß der anstrengung eines materials" 22 : 181-, 1904

      29 Backofen, W., "Deformation Processing" Addison-Wesley Longman 1972

      30 Piehler, H.R., "Crystal-plasticity fundamentals"

      31 Hutchinson, W.B., "Control of microstructure and earing behaviour in aluminium alloy AA 3004 hot bands" 5 : 1118-1127, 1989

      32 Cazacu, O., "Application of representation theory to describe yielding of anisotropic aluminum alloys" 41 : 1367-1385, 2003

      33 Adamesku, P.A., "Anisotropy of Physical Properties of Metals" Mashinostroenie 1985

      34 Banabic, D., "An improved analytical description of orthotropy in metallic sheets" 21 : 493-512, 2005

      35 Farzad Moayyedian, "An advanced criterion based on non-AFR for anisotropic sheet metals" 국제구조공학회 57 (57): 1015-1038, 2016

      36 Banabic, D., "Advances in anisotropy and formability" 3 : 165-189, 2010

      37 Soare, S., "About mechanical data required to describe the anisotropy of th.in sheets to correctly predict the earing of deep-drawn cups" 4 : 34-37, 2008

      38 Bron, F., "A yield function for anisotropic materials. Application to aluminum alloys" 20 : 937-963, 2003

      39 Hill, R., "A theory of the yield and plastic flow of anisotropic metals" 193 : 281-297, 1948

      40 Zhao, Z., "A texture optimization study for minimum earing in aluminium by use of a texture component crystal plasticity finite element method" 52 : 1003-1012, 2004

      41 Barlat, F., "A six-component yield function for anisotropic materials" 7 : 693-712, 1991

      42 Hosford, W.F., "A generalized isotropic yield criterion" ASME 39 : 607-609, 1972

      43 Karafillis, A.P., "A general anisotropic yield criterion using bounds and a transformation weighting tensor" 41 : 1859-1886, 1993

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