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New implementation of a non-associated flow rule in rate-independent plasticity | ||
Journal of Computational & Applied Research in Mechanical Engineering (JCARME) | ||
مقاله 4، دوره 5، شماره 1، اسفند 2015، صفحه 37-49 اصل مقاله (887.51 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22061/jcarme.2015.343 | ||
نویسندگان | ||
F. Moayyedian* 1؛ M. Kadkhodayan2 | ||
1Department of Mechanical Engineering, Eqbal Lahoori Institute of Higher Education (ELIHE), Mashhad, Khorasan Razavi, P.O. Box 91771-13113, Iran | ||
2Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Khorasan Razavi, P.O. Box 91775-1111, Iran | ||
تاریخ دریافت: 21 دی 1393، تاریخ بازنگری: 30 فروردین 1394، تاریخ پذیرش: 06 اردیبهشت 1394 | ||
چکیده | ||
One of the new research fields in plasticity is related to choosing a proper non-associated flow rule (NAFR), instead of the associated one (AFR), to predict the experimental results more accurately. The idea of the current research is derived from combining von Mises and Tresca criteria in the places of yield and plastic potential surfaces in rate-independent plasticity. This idea is implemented using backward Euler method in non-linear finite element simulation. The results are compared with the experimental data for an internally pressurized thick-walled cylinder and it is demonstrates that, using the proposed NAFR in rate-independent plasticity, the experimental results could be predicted more accurately. Finally, it can be said that the current research confirms the results of the previous works on rate-dependent plasticity (viscoplasticity) in steady state conditions. | ||
کلیدواژهها | ||
Non-associated flow rule؛ Backward Euler method؛ Thick walled cylinder؛ Consistent algorithm؛ Lode parameter | ||
مراجع | ||
[1] T. B. Stoughton and J. W. Yoon, “A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming”, International Journal of Plasticity, Vol. 20, No. (4, 5), pp. 705-731, (2004).
[2] J. Oliver, A. E. Huespe and J. C. Cante, “An implicit/explicit integration scheme to increase computability of non-linear material and contact/friction problems”, Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. (21-24), pp. 1865-1889, (2008).
[3] T. B. Stoughton and J. W. Yoon, “On the existence of intermediate solutions to the equations of motion under non-associated flow”, International Journal of Plasticity, Vol. 24, No. 4, pp. 583-613, (2008).
[4] V. Cvitanic, F. Valk and Z. Lozina, “A finite element formulation based on non-associated plasticity for sheet metal forming”, International Journal of Plasticity, Vol. 24, No. 4, pp. 646-687, (2008).
[5] N. Valoroso and L. Rosti, “Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity, part I: Theatrical formulation”, International Journal of Solid and Structures, Vol. 46, No. 1, pp. 74-91, (2009).
[6] T. B. Stoughton and J. W. Yoon, “Anisotropic hardening and non-associated flow in proportional loading of sheet metals”, International Journal of Plasticity, Vol. 25, No. 9, pp. 1777-1817, (2009).
[7] X. Gao, T. Zhang, M. Hayden and C. Roe, “Effects of the stress state on plasticity and ductile failure of an aluminum 5083 alloy”, International Journal of Plasticity, Vol. 25, No. 12, pp. 2366-2382, (2009).
[8] A. Taherizadeh, D. E. Green, A. Ghaei and J. W. Yoon, “A non-associated constitutive model with mixed iso-kinematic hardening for finite element simulation of sheet metal forming”, International Journal of Plasticity, Vol. 26, No. 2, pp. 288-309, (2010).
[9] A. Taherizadeh, D. E. Green and J. W. Yoon, “Evaluation of advanced anisotropic models with mixed hardening for general associated and non-associated flow metal plasticity”, International Journal of Plasticity, Vol. 27, No. 11, pp. 1781-1802, (2011).
[10] X. Gao, T. Zhang, J. Zhou, S. M. Graham, M. Hyden and C. Roe, “On stress-state dependant plasticity modelling: Significance of the hydrostatic stress, the third invariant of stress deviator and the non-associated flow rule”, International Journal of Plasticity, Vol. 27, No. 2, pp. 217-231, (2011).
[11] F. Moayyedian and M. Kadkhodayan, “A general solution in rate-dependant plasticity”, International Journal of Engineering, Vol. 26, No. 6, pp. 391-400, (2013).
[12] F. Moayyedian and M. Kadkhodayan, “A study on combination of von Mises and Tresca yield loci in non-associated viscoplasticity”, International Journal of Engineering, Vol. 27, No. 3, pp. 537-545, (2014).
[13] F. Moayyedian and M. Kadkhodayan, “Implementing the new first and second differentiation of a general yield surface in explicit and implicit rate-independent plasticity”, Journal of Solid Mechanics, Vol. 3, No. 3, pp. 310-321, (2014).
[14] F. Moayyedian and M. Kadkhodayan, “Combination of modified Yld2000-2d and Yld2000-2d in anisotropic pressure dependent sheet metals”, Latin American Journal of Solids and Structures, Vol. 12, No. 1, pp. 92-114, (2015).
[15] F. Moyyedian and M. Kadkhodayan, “Modified burzynski criterion with non-associated flow rule for anisotropic asymmetric metals in plane stress problems”, Applied Mathematics and Mechanics, Vol. 36, No. 3, pp. 303-318, (2015).
[16] A. Ghaei and A. Taherizadeh, “A two-surface hardening plasticity model based on non-associated flow rule for anisotropic metals subjected to cyclic loading”, International Journal of Mechanical Sciences, Vol. 92, No. 1, pp. 24-34, (2015).
[17] D. R. J. Owen and E. Hinton, Finite elements in plasticity: theory and practice, Swansea U. K., pp. 250-340, Pineridge Press Limited, (1980).
[18] E. D. Souza Neto, D. Peric and D. R. J. Owen, Computational methods for plasticity, theory and applications, John Wiley and Sons, Ltd., pp. 103-240, (2008).
[19] J. C. Simo and T. J.R. Hughes, Computational Inelasticity, Springer-Verlag New York, Inc., pp. 234-305, (1998).
[20] O. C. Zienkiewicz and R. L. Taylor, The finite element method for solid and structural mechanics, 6nd ed., U. K., Elsevior Butterworth-Heinemann, pp. 134-205, (2005).
[21] M. A. Crisfield, Non-linear finite element analysis of solid and structures, jhon Wiley, New York, pp. 124-234, (1997).
[22] R. Hill, The mathematical theory of plasticity, Oxford University Press, New York, pp. 45-167, (1950).
[23] A. Khan and S. Hung, Continuum theory of plasticity, John Wiley & Sons, Canada, pp. 123-208, (1995).
[24] P. V. Marcal, “A note on the elastic-plastic thick cylinder with internal pressure in the open and closed-end condition”, International Journal of Mechanical Sciences, Vol. 7, No. 12, pp. 841-845, (1965). | ||
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