Effective properties of nodular cast-iron: A multi-scale computational approach

被引:18
作者
Carazo, F. D. [1 ]
Giusti, S. M. [2 ]
Boccardo, A. D. [2 ]
Godoy, L. A. [3 ]
机构
[1] Univ Nacl San Juan, IMA, IDIA, CONICET, San Juan, Argentina
[2] Univ Tecnol Nacl, Fac Reg Cordoba, GIDMA, CONICET, Cordoba, Argentina
[3] Univ Nacl Cordoba, FCEFyN, CONICET, RA-5000 Cordoba, Argentina
关键词
Finite element; Material characterization; Multi-scale modeling; Nodular cast iron; Representative volume element; REPRESENTATIVE VOLUME; ELASTIC PROPERTIES; ASYMPTOTIC HOMOGENIZATION; COMPOSITE-MATERIALS; PART I; RECONSTRUCTION; ARRANGEMENT; MECHANICS; DESIGN; SIZE;
D O I
10.1016/j.commatsci.2013.09.044
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A numerical approach based on a computational constitutive multi-scale model is used in this work to predict the effective Young's modulus and Poisson's ratio of a pearlitic nodular cast iron. The Representative Volume Element (RVE) is defined based on a set of micrographs acquired from an optical device. For each micrograph, two RVE with different shape, rectangular and hexagonal, are defined. The volume fraction of graphite and metal matrix and the boundary of each object were identified on each RVE by using a procedure of image enhanced and segmentation. The set of RVE obtained was meshed with triangular finite elements. The numerical results obtained with rectangular and hexagonal RVE are compared with results obtained by means of an analytical expression. The influence of graphite fractions, aspect ratios and nodularity are investigated. The results show that graphite fraction has the largest influence on the effective modulus E. This feature is independent of the external shape of the RVE. Only one multi-scale model show a good agreement with the analytical expression in the effective modulus E. Also, the influence of the graphite volume fraction on the effective Poisson's ratio is investigated by means of multi-scale simulation. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:378 / 390
页数:13
相关论文
共 46 条
[11]   MICROSCALE ARRANGEMENT EFFECTS THE THERMOMECHANICAL BEHAVIOR ADVANCED 2-PHASE MATERIALS [J].
BOHM, HJ ;
RAMMERSTORFER, FG ;
FISCHER, FD ;
SIEGMUND, T .
JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY-TRANSACTIONS OF THE ASME, 1994, 116 (03) :268-273
[12]   Characterization of graphite form in nodular graphite cast iron [J].
Castro, M ;
Herrera-Trejo, M ;
Alvarado-Reyna, JL ;
Martínez-Tello, CL ;
Méndez-Nonell, M .
INTERNATIONAL JOURNAL OF CAST METALS RESEARCH, 2003, 16 (1-3) :83-86
[13]   On the equivalence between spatial and material volume averaging of stress in large strain multi-scale solid constitutive models [J].
de Souza Neto, E. A. ;
Feijoo, R. A. .
MECHANICS OF MATERIALS, 2008, 40 (10) :803-811
[14]  
de Souza Neto E.A., 2011, VARIATIONAL FDN LARG
[15]   Effect of fiber spatial arrangement on the transverse strength of titanium matrix composites [J].
Dève, HE .
METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1999, 30 (09) :2513-2522
[16]   A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites [J].
Drugan, WJ ;
Willis, JR .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1996, 44 (04) :497-524
[17]  
Elliot R., 2005, CAST IRON TECHNOLOGY
[18]  
FISCHMEISTER H, 1977, Z METALLKD, V68, P311
[19]   CONTINUUM THERMODYNAMICS [J].
GERMAIN, P ;
NGUYEN, QS ;
SUQUET, P .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1983, 50 (4B) :1010-1020
[20]   Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities [J].
Geuzaine, Christophe ;
Remacle, Jean-Francois .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2009, 79 (11) :1309-1331