Computational homogenization of elasto-plastic porous metals

作者: Felix Fritzen , Samuel Forest , Thomas Böhlke , Djimedo Kondo , Toufik Kanit

DOI: 10.1016/J.IJPLAS.2011.08.005

关键词: Monte Carlo methodHomogenization (chemistry)Structural engineeringMaterials scienceMicrostructurePlasticityMechanicsStress (mechanics)Boundary value problemFinite element methodPorosity

摘要: Abstract The effective material response of ductile metals containing spherical pores at volume fractions between 0.1% and 30% is investigated on a computational basis. Periodic hard core models voids are used in Monte Carlo type finite element study. objective the study investigation pressure dependency deviatoric limit stress three-dimensional microstructures. In order to characterize underlying morphology, statistical properties unit cells evaluated. representativeness results investigated. With respect local response, inelastic deformations within cell analyzed compared for different types boundary conditions. related existing analytical an extension Gurson–Tvergaard–Needleman model proposed overcome observed discrepancies. new has only one additional parameter, found efficiently predict all examined porosities.

参考文章(58)
Gilles Perrin, Contribution a l'etude theorique et numerique de la rupture ductile des metaux Palaiseau, Ecole polytechnique. ,(1992)
M. Gologanu, J.-B. Leblond, G. Perrin, J. Devaux, Recent extensions of Gurson's model for porous ductile metals Continuum micromechanics. pp. 61- 130 ,(1997) , 10.1007/978-3-7091-2662-2_2
A. Amine Benzerga, Jean-Baptiste Leblond, Ductile Fracture by Void Growth to Coalescence Advances in Applied Mechanics. ,vol. 44, pp. 169- 305 ,(2010) , 10.1016/S0065-2156(10)44003-X
I. Milne, B. L. Karihaloo, R. O. Ritchie, Comprehensive structural integrity Elsevier. ,(2003)
André Pineau, Clotilde Berdin, Stephane Bugat, Samuel Forest, Jacques Besson, Frédéric Feyel, Local approach to fracture Les Presses de l'École des Mines. ,(2004)
Jonas Faleskog, Xiaosheng Gao, C. Fong Shih, Cell model for nonlinear fracture analysis – I. Micromechanics calibration International Journal of Fracture. ,vol. 89, pp. 355- 373 ,(1998) , 10.1023/A:1007421420901
Lorna J. Gibson, Michael F. Ashby, Cellular Solids: Structure and Properties ,(1988)
T. Böhlke, The Voigt bound of the stress potential of isotropic viscoplastic FCC polycrystals Archives of Mechanics. ,vol. 56, pp. 425- 445 ,(2004)
Nicolas Bilger, François Auslender, Michel Bornert, Jean-Claude Michel, Hervé Moulinec, Pierre Suquet, André Zaoui, Effect of a nonuniform distribution of voids on the plastic response of voided materials: a computational and statistical analysis International Journal of Solids and Structures. ,vol. 42, pp. 517- 538 ,(2005) , 10.1016/J.IJSOLSTR.2004.06.048
Y. Sun, D. Wang, Analysis of shear localization in porous materials based on a lower bound approach International Journal of Fracture. ,vol. 71, pp. 71- 83 ,(1995) , 10.1007/BF00019342