An Upper Bound Approach of Ring Compression Test Solutions

Abstract:

The forging processes have usually been studied by analytical methods under simplifying assumptions such as the consideration of plane strain. Present work this study is approached from Upper Bound Theorem using the Triangular Rigid Zones model from a new approach, that is, through the analysis of Ring Compression Test, axisymmetric element under its canonical geometry ensures a similar aforementioned plane strain behavior. A new perspective of calculating the so-called neutral plane (defined by the radius at which the material flows in opposite directions), which is the basis element in solving the problem is proposed.

• Periodical: Materials Science Forum (Volume 797)
• Pages: 93-98
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.797.93
• Online since: June 2014
• Authors: Francisco de Sales Martín Fernández*, Lorenzo Sevilla Hurtado, Miguel Ángel Sebastián, Ana M. Camacho
• Keywords: Forging Process, Neutral Radius, Plane Strain, Ring Compression Test, Triangular Rigid Zones, Upper Bound Theorem

References

[1] Rubio, E.M., Camacho, A.M., Marcos, M., Sebastian, M.A., Analysis of the energy vanished by friction in tube drawing Processes with a fixed conical inner plug by the Upper Bound Method. Materials and Manufacturing processes, 23 (2008), 690-697.

DOI: 10.1080/10426910802317060

[2] Ajiboye, J., Upper Bound for analysis of extrusion billets trough square circle and square / rectangular dies. Mechanical Journal of Science and Technology, 23 (2009) 461-474.

DOI: 10.1007/s12206-008-1127-9

[3] Bermudo, C., Martin, F., Sevilla, L., Application of the Upper Bound Element Technique with Triangular Rigid Blocks in Indentation. Proc. Society of Manufacturing 4th International Conference, Cadiz, Spain (2011).

DOI: 10.1063/1.4707552

[4] Martin, F., Sevilla, L., Bermudo, C., Analytical approach to the indentation process application of the Upper Bound Element Technique. Materials Science Forum, 713 (2012) 13-18.

DOI: 10.4028/www.scientific.net/msf.713.13

[5] Bermudo, C., Martin, F., Sevilla, L., Friction Influence on the Implementation of the Upper Bound Theorem in Indentation process. Annals of DAAAM for 2012 & Proceedings of the 23rd International Symposium Daaam, 23 (2012), 209-214.

DOI: 10.2507/23rd.daaam.proceedings.049

[6] Prager, W., Hodge, P.G., Theory of Perfectly Plastic Solids. Chapman & Hall, Ltd., London, (1951).

[7] ASM Handbook, Forming and Forging. ASM International. 14, Metals Park, Ohio, USA, (1996).

[8] Altan, T., Lee, C.H., Influence of Flow Stress and friction Upon Metal Flow in Upset Forging of Rings and Cylinders. Journal of Engineering for Industry. Transactions of the ASME. 94 (1972), 775-782.

DOI: 10.1115/1.3428250

[9] Petersen, S.B., Martins, P., An alternative ring-test geometry for the evaluation and friction under ordinary low pressure. Journal of Materials Processing Technology, 79 (1998) 14-24.

DOI: 10.1016/s0924-0136(97)00448-2

[10] Avitzur, B., Van Tyne, C.J., Forming Ring: An Approach Upper Bound. Part 1: Flow Pattern and Calculation of Power. Journal of Engineering for Industry. Transactions of the ASME. 104 (1982) 231-237.

DOI: 10.1115/1.3185824

[11] Camacho, A.M., Marin, M., Sevilla, L., Domingo, R., Influence of strain hardening of forces and contact pressure distributions in forging processes. Journal of Achievements in Materials and Manufacturing Engineering, 15 (2006) 166-173.

[12] Johnson, W., Mellor, P.B., Plasticity Engineering. Ellis Horwood. Chichester. England, (1983).

[13] Martin, F., Sevilla, L., Rubio, E., Sebastian, M.A., Basis for application Upper Limit Theorem in forging processes on modular geometric configurations. Proc. of MESIC 2007: 2nd Manufacturing Engineering Society International Conference. Madrid, Spain, (2007).

[14] Martin, F., Sevilla, L., Sebastian, M.A., Implementation of technological and geometrical parameters in forging Processes by means of the Upper Bound Element Technique. American Institute of Physics Conference Proceedings, 1181 (2009), 455-463.

DOI: 10.1063/1.3273663

[15] Martin, F., Camacho, A.M., Domingo, R., Sevilla, L., Modular Procedure to Improve the application of the Upper Bound Theorem in forging. Materials and Manufacturing Processes. (DOI: 10. 1080/10426914. 2012. 718478), (2012).

DOI: 10.1080/10426914.2012.718478

[16] Martin, F., Sevilla, L., Camacho, A.M., Sanz, A., Adaptive model to apply the Upper-Bound Theorem in plain strain forging. Applied Mechanics and Materials, 217-219 (2012) 2113-2116.

DOI: 10.4028/www.scientific.net/amm.217-219.2113

[17] Martin, F., Development, integration and optimization at the study of forging Processes by the Upper Bound Theorem Triangular Rigid Blocks trough model. PhD. Thesis. University of Malaga. Malaga. Spain, (2009).