Multi-Scale Characterization and Modeling of Ductile Failure in Cast Aluminum Alloys

REFERENCES

• Wang , Q. C. , Caceres , C. H. and Griffiths , J. R. Jr. 2003 . Damage by Eutectic Particle Cracking in Aluminum Casting Alloys A356/357 . Metall. Mater. Trans. A. , vol. 34A : 2901 – 2912 .
   Web of Science ®Google Scholar
• Wang , Q. C. 2003 . Microstructural Effects on the Tensile and Fracture Behavior of Aluminum Casting Alloys A356/357 . Metall. Mater. Trans. A. , vol. 34A : 2887 – 2899 .
   Web of Science ®Google Scholar
• Boileau , J. M. 2000 . The Effect of Solidification Time on the Mechanical Properties of a Cast 319 Aluminum Alloy , Ph.D. Dissertation Wayne State University .
   Google Scholar
• Poole , W. J. and Dowdle , E. J. 1998 . Experimental Measurements of Damage Evolution in Al-Si Eutectic Alloys . Scripta Mater. , vol. 39 : 1281 – 1287 .
   Web of Science ®Google Scholar
• Argon , A. S. , Im , J. and Sofoglu , R. 1975 . Cavity Formation from Inclusions in Ductile Fracture . Metall. Mater. Trans. A. , vol. 6A : 825 – 837 .
   Google Scholar
• Caceres , C. H. 1999 . Particle Cracking and the Tensile Ductility of a Model Al-Si-Mg Composite System . Aluminum Transactions , vol. 1 : 1 – 13 .
   Google Scholar
• Caceres , C. H. and Griffiths , J. R. 1996 . Damage by the Cracking of Silicon Particles in an Al-7Si-0.4Mg Casting Alloy . Acta Mater. , vol. 44 : 25 – 33 .
   Web of Science ®Google Scholar
• Christman , T. , Needleman , T. and Suresh , S. 1989 . An Experimental and Numerical Study of Deformation in Metal-Ceramic Composites . Acta Metall. et Mater. , vol. 37 : 3029 – 3050 .
   Google Scholar
• Gonzalez , C. and Llorca , J. 1996 . Prediction of the Tensile Stress-Strain Curve and Ductility in Al/SiC Composites . Scripta Metall. , vol. 35 ( 1 ) : 91 – 97 .
   Google Scholar
• Weissenbek , E. , Boehm , H. J. and Rammerstoffer , F. G. 1994 . Micromechanical Investigations of Fiber Arrangement Effects in Particle Reinforced Metal Matrix Composites . Comp. Mater. Sci. , vol. 3 : 263 – 278 .
   Google Scholar
• Ghosh , S. , Ling , Y. , Majumdar , B. and Kim , R. 2000 . Interfacial Debonding Analysis in Multiple Fiber Reinforced Composites . Mech. Mater. , vol. 32 : 561 – 591 .
   Web of Science ®Google Scholar
• Li , M. , Ghosh , S. and Richmond , O. 1999 . An Experimental-Computational Approach to the Investigation of Damage Evolution in Discontinuously Reinforced Aluminum Matrix Composites . Acta Mater. , vol. 47 ( 12 ) : 3515 – 3552 .
   Web of Science ®Google Scholar
• Ghosh , S. and Moorthy , S. 1998 . Particle Fracture Simulation in Non-Uniform Microstructures of Metal-Matrix Composites . Acta Mater. , vol. 46 : 965 – 982 .
   Web of Science ®Google Scholar
• Moorthy , S. and Ghosh , S. 1998 . A Voronoi Cell Finite Element Model for Particle Cracking in Elastic-Plastic Composite Materials . Comput. Meth. Appl. Mech. Engrg. , vol. 151 : 377 – 400 .
   Web of Science ®Google Scholar
• Li , S. and Ghosh , S. 2004 . Debonding in Composite Microstructures with Morphological Variations . Int. Jour. Comput. Methods , vol. 1 ( 1 ) : 121 – 149 .
   Web of Science ®Google Scholar
• Ghosh , S. , Lee , K. and Raghavan , P. 2001 . A Multi-Level Computational Model for Multiscale Damage Analysis in Composite and Porous Materials . Int. J. of Solids Struct. , vol. 38 ( 14 ) : 2335 – 2385 .
   Web of Science ®Google Scholar
• Raghavan , P. and Ghosh , S. 2004 . Adaptive Multi-Scale Computational Modeling of Composite Materials . Comp. Model. Engrg. Sci. , vol. 5 : 151 – 170 .
   Web of Science ®Google Scholar
• Ghosh , S. , Valiveti , D. M. , Harris , S. H. and Boileau , J. 2006 . Microstructure Characterization Based Domain Partitioning as a Pre-Processor to Multi-Scale Modeling of Cast Aluminum Alloys . Model. Simul. Mater. Sci. Engrg. , vol. 14 : 1363 – 1396 .
   Web of Science ®Google Scholar
• Valiveti , D. M. and Ghosh , S. 2007 . Domain Partitioning of Multi-Phase Materials Based on Multi-Scale Characterizations: A Preprocessor for Multi-Scale Modeling, Int. Jour. Numer. Meth . Engrg. , vol. 69 ( 8 ) : 1717 – 1754 .
   Web of Science ®Google Scholar
• Ghosal , A. K. and Narasimhan , R. 1996 . Mixed-Node Fracture Initiation in a Ductile Material with a Dual Population of Second-Phase Particles . Mater. Sci. Engrg. , vol. A211 : 117 – 127 .
   Google Scholar
• Steglich , D. and Brocks , W. 1997 . Micromechanical Modeling of the Behavior of Ductile Materials Including Particles . Comput Mater Sci , vol. 9 : 7 – 17 .
   Web of Science ®Google Scholar
• Llorca , J. and Gonzalez , C. 1998 . Microstructural Factors Controlling the Strength and Ductility of Particle Reinforced Metal-Matrix Composites . Mech. J. Phys. Solids , vol. 46 : 1 – 28 .
   Web of Science ®Google Scholar
• Leblond , J. B. , Perrin , G. and Devaux , J. 1994 . Bifurcation Effects in Ductile Metals with Nonlocal Damage . Appl. J. Mech. , vol. 61 : 236 – 242 .
   Web of Science ®Google Scholar
• Tvergaard , V. and Needleman , A. 1995 . Effect of Non-Local Damage in Porous Plastic Solids . Int. J. of Solids. Struct. , vol. 32 : 1063 – 1077 .
   Web of Science ®Google Scholar
• Tvergaard , V. and Needleman , A. 1997 . Nonlocal Effects on Localization in a Void-Sheet . Int. J. of Solids Struct. , vol. 34 : 2221 – 2238 .
   Web of Science ®Google Scholar
• Rice , J. R. The Localization of Plastic Deformation . Proc. 14th Int. Congr. On Theoretical and Applied Mechanics . Delft, Amsterdam. pp. 207 – 20 . New York : North-Holland .
   Google Scholar
• Chien , W. Y. , Pan , J. and Tang , S. C. 2001 . Modified Anisotropic Gurson Yield Criterion for Porous Ductile Sheet Metals . J Engrg Mater Tech , vol. 123 : 409 – 416 .
   Web of Science ®Google Scholar
• Benzerga , A. A. , Besson , J. and Pineau , A. 2004 . Anisotropic Ductile Fracture, Part II: Theory . Acta Mater. , vol. 52 : 4639 – 4650 .
   Web of Science ®Google Scholar
• Benzerga , A. A. and Besson , J. 2001 . Plastic Potential for Anisotropic Porous Solids . Eur J Mech , vol. 20A : 397 – 434 .
   Google Scholar
• Benzerga , A. A. , Besson , J. , Batisse , R. and Pineau , A. 2002 . Synergistic Effects of Plastic Anisotropy and Void Coalescence on Fracture Mode in Plane Strain . Modeling Simul Mater Sci Eng , vol. 10 : 73 – 102 .
   Web of Science ®Google Scholar
• Gokhale , A. M. and Yang , S. 1999 . Application of Image Processing for Simulation of Mechanical Response of Multi-Length Scale Microstructures of Engineering Alloys . Metall. Mater. Trans , vol. A30 : 2369 – 81 .
   Google Scholar
• Tewari , A. , Gokhale , A. M. , Spowart , J. E. and Miracle , D. B. 2004 . Quantitative Characterization of Spatial Clustering in Three-Dimensional Microstructures Using Two-Point Correlation Functions . Acta Materialia , vol. 52 : 307 – 19 .
   Web of Science ®Google Scholar
• Yeong , C. L.Y. and Torquato , S. 1998 . Reconstructing Random Media . Phys. Rev. E , vol. 57 : 495 – 505 .
   Web of Science ®Google Scholar
• Rintoul , M. D. and Torquato , S. 1997 . Reconstruction of Structure of Dispersions . Jnl. of Colloid and Interface Science , vol. 186 : 467 – 76 .
   Web of Science ®Google Scholar
• Cooper , D. W. 1998 . Random Sequential Packing Simulation in Three Dimensions for Spheres . Phys. Rev. A , vol. A38 : 522 – 24 .
   Google Scholar
• Everett , R. K. and Chu , J. H. 1992 . Modeling of Non-Uniform Composite Microstructures . Compos. J. Mater , vol. 27 : 1128 – 44 .
   Web of Science ®Google Scholar
• Everson , R. , Sirovich , L. and Sreenivasan , K. R. 1990 . Wavelet Analysis of the Turbulent Jet . Physics Letters A , vol. 145 : 314 – 22 .
   Web of Science ®Google Scholar
• Prasad , L. and Iyengar , S. S. 1997 . Wavelet Analysis with Applications to Image Processing , Boca Raton, FL : CRC Press .
   Google Scholar
• Torquato , S. 2002 . Random Heterogeneous Materials: Microstructure and Macroscopic Properties , New York : Springer-Verlag .
   Google Scholar
• Caceres , C. H. , Griffiths , J. R. and Reiner , P. 1996 . The Influence of Microstructure on the Bauschinger Effect in An Al-Si-Mg Casting Alloy . Acta Mater. , vol. 44 : 15 – 23 .
   Web of Science ®Google Scholar
• Spowart , J. E. , Maruyama , B. and Miracle , D. B. 2001 . Multiscale Characterization of Spatially Heterogeneous Systems: Implications for Discontinuously Reinforced Metal-Matrix Composite Microstructures . Mat. Sci. Engrg. , vol. A307 : 51 – 66 .
   Google Scholar
• Aravas , N. 1987 . On the Numerical Integration of a Class of Pressure-Dependent Plasticity Models . Int. J. Numer. Meth. Engrg. , vol. 24 : 1395 – 1416 .
   Web of Science ®Google Scholar
• Bass , J. M. and Oden , J. T. 1987 . Adaptive Finite Element Methods for a Class of Evolution Problems in Visco-Plasticity . Int. J. Engrg Sci , vol. 6 : 623 – 653 .
   Google Scholar
• Hughes , T. J.R. 1980 . Generalization of Selected Integration Procedures to Anisotropic and Nonlinear Media . Int. J. Number Methods Engrg. , vol. 15 : 1413 – 1418 .
   Web of Science ®Google Scholar
• Ghosh , S. and Kikuchi , N. 1991 . An arbitrary Lagrangian-Eulerian Finite Element Method for Large Deformation Analysis of Elastic-Viscoplastic Solids . Comput. Methods Appl. Mech. Engrg. , vol. 86 : 127 – 188 .
   Web of Science ®Google Scholar
• Chu , C. C. and Needleman , A. 1980 . Void Nucleation Effects in Biaxially Stretched Sheets . Eng. J. Mater. Tech. , vol. 102 : 249 – 256 .
   Web of Science ®Google Scholar
• Tvergaard , V. 1981 . Influence of Voids on Shear Band Instabilities Under Plane Strain Conditions . Int. J. Fract. Mech. , vol. 17 : 389 – 407 .
   Web of Science ®Google Scholar
• Zienkiewicz , O. C. and Zhu , J. Z. 1992 . The Super-Convergent Patch Recovery and a Posteriori Error Estimates. Part 1: The Recovery Technique . Int. J. Numer. Methods Eng. , vol. 33 : 1331 – 1364 .
   Web of Science ®Google Scholar
• Hill , R. A. 1948 . A Theory of Yielding and Plastic Flow of Anisotropic Metals . Proc. Roy. Soc. London. Ser. A. , vol. 193 : 281 – 297 .
   Google Scholar
• Raghavan , P. and Ghosh , S. 2004 . Concurrent Multi-Scale Analysis of Elastic Composites by a Multi-Level Computational Model . Comp. Meth. Appl. Mech. Engrg. , vol. 193 : 497 – 538 .
   Web of Science ®Google Scholar
• Surana , K. S. , Rajwani , A. and Reddy , J. N. 2006 . The k-version Finite Element Method for Singular Boundary-Value Problems with Application to Linear Fracture Mechanics . International Journal for Computational Methods in Engineering Science and Mechanics , vol. 7 ( 3 ) : 217 – 239 .
   Google Scholar