Sensitivity analysis of flow stress, determined from the ring compression, with respect to friction coefficient and sample dimensions

Łukasz Madej¹, Maciej Pietrzyk¹, Valeryi Pidvysotskyy², Roman Kuziak²

¹AGH University of Science and Technology.
²Instytut Metalurgii Żelaza, Gliwice.

DOI:

https://doi.org/10.7494/cmms.2005.3.0075

Abstract:

There is a general opinion that flow stress of materials should be the property, which is independent of the type of the tests, which is used to determine this stress, and to the sample dimensions. This statement was, in general, confirmed when inverse analysis was applied to the interpretation of the plastometric tests. The channel test was an exception, which was explained on the basis of influence of micro-shear bands in the material. There were, however, some observations showing that in ring compression tests some discrepancies from the flow stress values determined from other tests, can appear. The objectives of the present work are formulated on the basis of the assumption that different states of strains in the ring compression, depending on the shape of the ring, may lead to different tendency to generation of micro-shear bands in the material. Thus, finite element simulation of ring compression were performed assuming various dimensions of rings and various friction coefficients. States of strain was determined in each tests and comparison was performed. Comparison was made to flow stress measurements published in the literature. Conclusions concerning correlation between flow stress and state of strains were drawn. Sensitivity of the flow stress with respect to the sample dimensions and friction coefficients was determined.

Cite as:

Madej, Ł., Pietrzyk, M., Pidvysotskyy, V., Kuziak, R. (2005). Sensitivity analysis of flow stress, determined from the ring compression, with respect to friction coefficient and sample dimensions. Computer Methods in Materials Science, 5(3), 83 – 94. https://doi.org/10.7494/cmms.2005.3.0075

Article (PDF):

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References:

Annad, L., Kalidindi, S.R. (1994). The Process of Shear Band Formation in Plane Strain Compression of FCC Materials: Effects of Crystallographic Texture. Mech. Materials, 17, 223-243.

Boyer, B., Massoni, E. (2001). Inverse Analysis for Identification of Parameters during Thermo-Mechanical Tests. Mat. Konf:.

NUMIFORM. (2001). ed. K. Mori, publ., A. Balkema, Toyohashi, 281-284.

Chen, C.C., Kobayashi, S. (1978). Rigid Plastic Finite Element Analysis of Ring Compression. w: Application of Numerical Methods to Forming Processes (ASME, ADM) 28, 163-174.

Forestier, R., Massoni, E., Chastel, Y. (2002). Estimation of Constitutive Parameters Using an Inverse Method Coupled to a 3D Finite Element Software. J. Mat. Proc. Techn., 125, 594-601.

Gavrus, A., Massoni, E., Chenot, J.L. (1995). Constitutive Parameter Identification using a Computer Aided Rheology. Mat. Konf. NUMIFORM’95, ed., Shen, S.-F., Dawson, P.R., wydawn. A. Balkema, Ithaca, 563-568.

Gawad, J., Kuziak, R., Madej, L., Szeliga, D., Pietrzyk, M. (2005). Identification of Rheological Parameters on the basis of Various Types of Compression and Tension Tests. Steel Res. Int., 76, 131-137.

Gelin, J.C., Ghouati, O. (1994). An Inverse Method for Determining Viscoplastic Properties of Aluminium Alloys. J. Mat. Proc. Techn., 45, 435-440.

Kobayashi, S., Oh, S.-L, Altan, T. (1989). Metal Forming and the Finite Element Method. Oxford University Press, New York, Oxford.

Kowalski, B., Sellars, C.M., Pietrzyk, M. (2000). Development of a Computer Code for the Interpretation of Results of Hot Plane Strain Compression Tests. JSZJ Int., 40, 1230-1236.

Kusiak, J., Kawalla, R., Pietrzyk, M., Pircher, H. (1996). Inverse Analysis Applied to the Evaluation of Material parameters in the History Dependent Flow Stress Equation in Hot Forming of.

Metals, J. Mat. Proc. Techn. (1996). 455-461.

Lenard, J.G., Pietrzyk, M., Cser, L. (1999). Mathematical and Physical Simulation of the Properties of Hot Rolled Products. Elsevier, Amsterdam.

Madej, L., Hodgson, P.D., Pietrzyk, M. (2004). Application of Identification Techniques to Determine Effect of Carbon Content in Steels on Rheological Parameters During Hot Deformation. Mat. Konf. NUMIFORM 04, ed., Ghosh, S., Castro, J.M., Lee, J.K., Columbus, 554-559.

Male, A.T., Cockcroft, M.G., 1964-65, A method for the determination of the coefficient of friction of metals under conditions of bulk plastic deformation, J. Inst. Metals, 93, 38-46.

Malinowski, Z., Kusiak, J. (1995). Pietrzyk. M., Application of the Inverse Techniques to the Experimental Tests, Mat. Konf. Application of Mathematical Methods in Science and Technique, Krakow, vol. 1, 43-53.

Pecherski, R.B. (1998). Opis deformacji plastycznej metali z efektami mikropasm ścinania. Prace IPPT PAN, nr. 2, Warszawa.

Pecherski, R.B., Nowak, Z., Korbel, K. (2000). Plastyczność z efektami mikropasm ścinania. Rudy Metale, 45, 238-244.

Pidvysotskyy, V, Wajda, W., Paćko, M., Kuziak, R., Pietrzyk, M., 2002, Identification of the Flow Stress for Copper in the Room Temperature, Naukovi Visti, Suchasni Problemi Metalurgii, 5, 255-258.

Pietrzyk, M., Pidvysotskyy, V., Packo, M. (2004a). Flow stress model accounting for the strain localization during plastic deformation of metals. Ann. CIRP, 53, 235-238.

Pietrzyk, M., Zmudzki, A., Szeliga, D., Kuziak, R. (2004b). Sensitivity of Parameters of Forward-Backward Extrusion Test on Material Properties and Friction. Mat. Konf. MS&T 2004, New Orleans, 403-411.

Pietrzyk, M., Kuziak, R., Loveday, M., Roebuck, B. (2005). Effect of Preheating and Testing Method on the Flow Stress of Steels. Mat. 8. ICTP, Verona, CD ROM.

Schey, J.A. (1970). Friction Effects in Metalworking Processes. w: Metal Deformation Processes: Friction and Lubrication, ed., Schey, J.A., Marcel Dekker Inc., New York, 17-81.

Szeliga, D., Pietrzyk, M. (2002). Identification of Rheological and Tribological Parameters. Metal Forming Science and Practice, w: A State-of-the-art Volume in Honour of Professor J.A. Śchey s 80th Birthday, ed., Lenard, J.G., Elsevier, Amsterdam, 227-258. Szeliga, D., Paćko, M., Kuziak, R., Pidvysotskyy, V., Pietrzyk M., Inverse Analysis of Various Types of Compression Tests, Mat.

Konf. Forming. (2002). Luhacovice. 2002, 279-284.

Szeliga, D., Gawad, J., Pietrzyk, M., Kuziak, R. (2005). Inverse Analysis of Tensile Tests. Steel Res. Int., 76, (w druku).

Szeliga, D., Matuszyk, P., Kuziak, R., Pietrzyk, M. (2002). Identification of Rheological Parameters on the Basis of Various Types of Plastometric Tests. J. Mat. Proc. Techn., 125-126, 150- 154.

Szeliga, D., Gawad, J., Kondek, T., Pietrzyk, M., Identyfikacja parametrów modeli materiałowych w oparciu o analizę odwrotną, Mat. Konf:. MSK’03 – Metody i systemy komputerowe w badaniach naukowych i projektowaniu inżynierskim, ed., Tadeusiewicz, R., Ligęza, A., Szymkat, M., Kraków, 2003, 761-766.

Szyndler, D. (2001). Problem odwrotny w zastosowaniu do identyfikacji parametrów procesów plastycznej przeróbki metali. Praca doktorska, AGH, Kraków.

Wajda, W. (2004). Modelowanie procesów przeróbki plastycznej z uwzględnieniem efektów mikropasm scinania. praca doktorska, AGH, Kraków, 2004.