پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 158 |
| تعداد شمارهها | 6,225 |
| تعداد مقالات | 67,685 |
| تعداد مشاهده مقاله | 114,972,004 |
| تعداد دریافت فایل اصل مقاله | 89,643,713 |
A damage model incorporating dynamic plastic yield surface | ||
| Journal of Computational Applied Mechanics | ||
| مقاله 2، دوره 47، شماره 1، شهریور 2016، صفحه 11-24 اصل مقاله (1.92 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2016.59251 | ||
| نویسنده | ||
| Mehdi ganjiani* | ||
| Faculty | ||
| چکیده | ||
| In this paper, a general elastoplastic-damage constitutive model considering the effect of strain rate has been developed. The derivation of this model has been cast into the irreversible thermodynamics with internal variables within the fundamentals of Continuum Damage Mechanics (CDM). The rate effect has been involved as an additional term into the plastic yield surface (dynamic plastic yield surface). Therefore, the plastic surface has been presented in the category of Consistency–type model in which the rate of state variables is considered as independent state variables. The damage has been assumed as a tensor type variable and based on the energy equivalence hypothesis the damage evolution has been developed. The proposed model has been validated for both rate-independent and rate-dependent deformation. For this manner, the generalized trapezoidal stress integration algorithm of the model has been explained and the model has been implemented into user-defined subroutines (UMAT and VUMAT) in the finite element program ABAQUS. The results of numerical simulation, statically and dynamically, have been compared to the experimental results of three aluminum and two steel alloys. Also, the results of simulation for shear and double-notched tests have been compared to their experiments. By comparing the predicted results with experimental data, the capability and validity of the model have been verified. | ||
| کلیدواژهها | ||
| Continuum damage mechanics؛ Dynamic yield surface؛ Consistency model, generalized trapezoidal algorithm | ||
| مراجع | ||
|
[1] J. A. Zukas, 1990, High velocity impact dynamics, John Wiley, New York [2] T. Børvik, O. Hopperstad, T. Berstad, M. Langseth, A computational model of viscoplasticity and ductile damage for impact and penetration, European Journal of Mechanics-A/Solids, Vol. 20, No. 5, pp. 685-712, 2001. [3] L. L. Wang, F. H. Zhou, Z. J. Sun, Y. Z. Wang, S. Q. Shi, Studies on rate-dependent macro-damage evolution of materials at high strain rates, International Journal Of Damage Mechanics, 2010. [4] J. DiLellio, W. Olmstead, Numerical solution of shear localization in Johnson-Cook materials, Mechanics of Materials, Vol. 35, No. 3-6, pp. 571-580, 2003. [5] R. Mahnken, M. Johansson, K. Runesson, Parameter estimation for a viscoplastic damage model using a gradient-based optimization algorithm, Engineering Computations, Vol. 15, No. 7, pp. 925-955, 1998. [6] M. Johansson, R. Mahnken, K. Runesson, Efficient integration technique for generalized viscoplasticity coupled to damage, International Journal for Numerical Methods in Engineering, Vol. 44, No. 11, pp. 1727-1747, 1999. [7] P. Perzyna, Fundamental problems in viscoplasticity, Advances in Applied Mechanics, Vol. 9, pp. 243-377, 1966. [8] G. Duvaut, J. L. Lions, 1972, Les inéquations en mécanique et en physique, Dunod, Paris [9] J. P. Ponthot, Radial return extensions for visco-plasticity and lubricated friction, in Proceeding of. [10] W. M. Wang, 1997, Stationary and propagative instabilities in metals: a computational point of view, Delft University Press, [11] W. M. Wang, L. J. Sluys, R. De Borst, Viscoplasticity for instabilities due to strain softening and strain-rate softening, International Journal for Numerical Methods in Engineering, Vol. 40, No. 20, pp. 3839-3864, 1997. [12] O. M. Heeres, A. S. J. Suiker, R. de Borst, A comparison between the Perzyna viscoplastic model and the Consistency viscoplastic model, European Journal of Mechanics-A/Solids, Vol. 21, No. 1, pp. 1-12, 2002. [13] M. Ristinmaa, N. S. Ottosen, Consequences of dynamic yield surface in viscoplasticity, International Journal of Solids and Structures, Vol. 37, No. 33, pp. 4601-4622, 2000. [14] T. Saksala, D. Brancherie, I. Harari, A. Ibrahimbegovic, Combined continuum damage‐embedded discontinuity model for explicit dynamic fracture analyses of quasi‐brittle materials, International Journal for Numerical Methods in Engineering, Vol. 101, No. 3, pp. 230-250, 2015. [15] R. Zaera, J. Fernández-Sáez, An implicit consistent algorithm for the integration of thermoviscoplastic constitutive equations in adiabatic conditions and finite deformations, International Journal of Solids and Structures, Vol. 43, No. 6, pp. 1594-1612, 2006. [16] K. Hashiguchi, T. Okayasu, K. Saitoh, Rate-dependent inelastic constitutive equation: the extension of elastoplasticity, International Journal of Plasticity, Vol. 21, No. 3, pp. 463-491, 2005. [17] J. C. Simo, J. W. Ju, Strain- and stress-based continuum damage models - I. Formulation, International Journal of Solids and Structures, Vol. 23, pp. 821-840, 1987. [18] M. Johansson, K. Runesson, Viscoplasticity with dynamic yield surface coupled to damage, Computational Mechanics, Vol. 20, No. 1, pp. 53-59, 1997. [19] C. L. Chow, X. J. Yang, E. Chu, Viscoplastic constitutive modeling of anisotropic damage under nonproportional loading, Journal of Engineering Materials and Technology, Vol. 123, No. 4, pp. 403-408, 2001. [20] X. Ren, J. Li, A unified dynamic model for concrete considering viscoplasticity and rate-dependent damage, International Journal of Damage Mechanics, Vol. 22, No. 4, pp. 530-555, 2013. [21] T. Carniel, P. Muñoz-Rojas, M. Vaz, A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures, Applied Mathematical Modelling, Vol. 39, No. 5, pp. 1725-1739, 2015. [22] R. K. A. Al-Rub, A. H. Tehrani, M. K. Darabi, Application of a large deformation nonlinear-viscoelastic viscoplastic viscodamage constitutive model to polymers and their composites, International Journal of Damage Mechanics, Vol. 24, No. 2, pp. 198-244, 2015. [23] G. Z. Voyiadjis, F. H. Abed, A coupled temperature and strain rate dependent yield function for dynamic deformations of bcc metals, International Journal of Plasticity, Vol. 22, No. 8, pp. 1398-1431, 2006. [24] C. L. Chow, J. Wang, Ductile fracture characterization with an anisotropic continuum damage theory, Engineering Fracture Mechanics, Vol. 30, No. 5, pp. 547-563, 1988. [25] C. Chow, T. Lu, On evolution laws of anisotropic damage, Engineering Fracture Mechanics, Vol. 34, No. 3, pp. 679-701, 1989. [26] A. Rusinek, J. A. Rodríguez-Martínez, A. Arias, A thermo-viscoplastic constitutive model for FCC metals with application to OFHC copper, International Journal of Mechanical Sciences, Vol. 52, No. 2, pp. 120-135, 2//, 2010. [27] G. Z. Voyiadjis, F. H. Abed, Microstructural based models for bcc and fcc metals with temperature and strain rate dependency, Mechanics of Materials, Vol. 37, No. 2–3, pp. 355-378, 2//, 2005. [28] R. Liang, A. S. Khan, A critical review of experimental results and constitutive models for BCC and FCC metals over a wide range of strain rates and temperatures, International Journal of Plasticity, Vol. 15, No. 9, pp. 963-980, //, 1999. [29] C. L. Chow, J. Wang, An anisotropic theory of continuum damage mechanics for ductile fracture, Engineering Fracture Mechanics, Vol. 27, No. 5, pp. 547-558, 1987. [30] M. Ganjiani, Identification of damage parameters and plastic properties of an anisotropic damage model by micro-hardness measurements, International Journal of Damage Mechanics, March 27, 2013, 2013. [31] A. Mkaddem, F. Gassara, R. Hambli, A new procedure using the microhardness technique for sheet material damage characterisation, Journal of Materials Processing Technology, Vol. 178, No. 1-3, pp. 111-118, 2006. [32] G. Le Roy, J. D. Embury, G. Edward, M. F. Ashby, A model of ductile fracture based on the nucleation and growth of voids, Acta Metallurgica, Vol. 29, pp. 1509-1522, 1981. [33] S. P. F. C. Jaspers, J. H. Dautzenberg, Material behaviour in conditions similar to metal cutting: flow stress in the primary shear zone, Journal of Materials Processing Technology, Vol. 122, pp. 322-330, 2002. | ||
|
آمار تعداد مشاهده مقاله: 892 تعداد دریافت فایل اصل مقاله: 968 |
||