A novel framework for building materials knowledge systems

Computers, Materials and Continua

Volumn 17, Issue 2, 2010, Pages 103-125

  Kalidindi, Surya R ^a   Niezgoda, Stephen R ^a   Landi, Giacomo ^a   Vachhani, Shraddha ^a   Fast, Tony ^a  

^a Drexel University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONALLY EFFICIENT; HIERARCHICAL STRUCTURES; HIGH FIDELITY; KNOWLEDGE SYSTEM; LENGTH SCALE; LOCAL STRUCTURE; MATERIAL SYSTEMS; MATHEMATICAL FRAMEWORKS; MICRO-SCALES; MULTI-SCALE MODELLING; NEW APPROACHES; NEW STRATEGY; NUMERICAL DATASETS; SALIENT FEATURES; STRUCTURE EVOLUTION; TWO PHASE COMPOSITES;

BUILDING MATERIALS; CERIUM ALLOYS; CONSTRUCTION EQUIPMENT; HIERARCHICAL SYSTEMS; SPINODAL DECOMPOSITION;

FAST FOURIER TRANSFORMS;

EID: 78349243702     PISSN: 15462218     EISSN: 15462226     Source Type: Journal    
DOI: None     Document Type: Article

References (61)

1. Adams BL, Olson T. (1998): The mesostructure - properties linkage in polycrys-tals. Progress in Materials Science 43:1.
2. Adams BL, Gao X, Kalidindi SR. (2005): Finite approximations to the second-order properties closure in single phase polycrystals. Acta Materialia 53:3563.
3. Adams BL, Henrie A, Henrie B, Lyon M, Kalidindi SR, Garmestani H. (2001): Microstructure-sensitive design of a compliant beam. Journal of the Mechanics and Physics of Solids 49:1639.
4. Alkemper J, Voorhees PW. (2001): Quantitative serial sectioning analysis. Journal of Microscopy 201:388.
5. Amodeo RJ, Ghoniem NM. (1990): Dislocation dynamics. I. A proposed methodology for deformation micromechanics. Physical Review B 41:6958.
6. Beran MJ, Mason TA, Adams BL, Olsen T. (1996): Bounding elastic constants of an orthotropic polycrystal using measurements of the microstructure. Journal of the Mechanics and Physics of Solids 44:1543.
7. Beran MJ. (1968): Statistical Continuum Theories. John Wiley & Sons, Inter-science, New York, NY.
8. Binci M, Fullwood D, Kalidindi SR. (2008): A new spectral framework for establishing localization relationships for elastic behavior of composites and their calibration to finite-element models. Acta Materialia 56:2272.
9. Boyd S, Chua L. (1985): Fading memory and the problem of approximating nonlinear operators with Volterra series. Circuits and Systems, IEEE Transactions on 32:1150.
10. Breidenbach B. (2009): Phase contrast X-ray tomography of nut and seed shells. submitted.
11. Blavette D, Bostel A, Sarrau JM, Deconihout B, Menand A. (1993): An atom probe for three-dimensional tomography. Nature 363:432.
12. Bunge HJ. (1993): Texture analysis in materials science. Mathematical Methods. Géttingen: Cuvillier Verlag.
13. Cahn JW. (1961): On spinodal decomposition. Acta Metallurgica 9:795.
14. Cahn JW, Hilliard JE. (1958): Free Energy of a Nonuniform System. I. Interfacial Free Energy. The Journal of Chemical Physics 28:258.
15. Davies PT, Tso MKS. (1982): Procedures for Reduced-Rank Regression. Journal of the Royal Statistical Society. Series C (Applied Statistics) 31:244.
16. Flannery BP, Deckman HW, Roberge WG, D'Amics KL. (1987): Three-Dimensional X-ray Microtomography. Science 237:1439.
17. Fullwood DT, Niezgoda SR, Adams BL, Kalidindi SR. (2009): Microstructure Sensitive Design for Performance Optimization. Journal of Progress in Materials Science in press.
18. Fullwood DT, Adams BL, Kalidindi SR. (2008): A strong contrast homogeniza-tion formulation for multi-phase anisotropic materials.Journal of the Mechanics and Physics of Solids 56:2287.
19. Garmestani H, Lin S, Adams BL. (1998): Statistical Continuum Theory for Inelastic Behavior of a Two-phase Medium. International Journal of Plasticity 14:719.
20. Garmestani H, Lin S, Adams BL, Ahzi S. (2001): Statistical Continuum Theory for Large Plastic Deformation of Polycrystalline Materials. Journal of the Mechanics and Physics of Solids 49:589.
21. Gusev AA, Hine PJ, Ward IM. (2000): Fiber packing and elastic properties of a transversely random unidirectional glass/epoxy composite. Composites Science and Technology 60:535.
22. Hall EO. (1951): The Deformation and Ageing of Mild Steel: III Discussion of Results. Proceedings of the Physical Society. Section B 747.
23. Houskamp JR, Proust G, Kalidindi SR. (2007): Integration of microstructure-sensitive design with finite element methods: Elastic-plastic case studies in FCC polycrystals. International Journal for Multiscale Computational Engineering 5:261.
24. Izenman AJ. (1975): Reduced-rank regression for the multivariate linear model. Journal of Multivariate Analysis 5:248.
25. Kalidindi SR, Houskamp JR, Lyons M, Adams BL. (2004): Microstructure sensitive design of an orthotropic plate subjected to tensile load. International Journal of Plasticity 20:1561.
26. Kalidindi SR, Landi G, Fullwood DT. (2008): Spectral representation of higher-order localization relationships for elastic behavior of polycrystalline cubic materials. Acta Materialia 56:3843.
27. Kalidindi SR, Binci M, Fullwood D, Adams BL. (2006): Elastic properties closures using second-order homogenization theories: Case studies in composites of two isotropic constituents. Acta Materialia 54:3117.
28. Kazaryan A, Wang Y, Dregia SA, Patton BR. (2000): Generalized phase-field model for computer simulation of grain growth in anisotropic systems. Physical Review B 61:14275.
29. Khan AS, Huang S. (1995): Continuum theory of plasticity. New York: Wiley.
30. Knezevic M, Al-Harbi HF, Kalidindi SR. (2009): Crystal plasticity simulations using discrete Fourier transforms. Acta Materialia 57:1777.
31. Knezevic M, Kalidindi SR. (2007): Fast computation of first-order elastic-plastic closures for polycrystalline cubic-orthorhombic microstructures. Computational Materials Science 39:643.
32. Knezevic M, Kalidindi SR, Mishra RK. (2008): Delineation of first-order closures for plastic properties requiring explicit consideration of strain hardening and crystallographic texture evolution. International Journal of Plasticity 24:327.
33. Kroner E. (1986): Statistical Modelling. Elsevier Science Publishers.
34. Lax M. (1966): Classical Noise IV: Langevin Methods. Reviews of Modern Physics 38:541.
35. Li J, Van Vliet KJ, Zhu T, Yip S, Suresh S. (2002): Atomistic mechanisms governing elastic limit and incipient plasticity in crystals. Nature 418:307.
36. Li JY, Rogan RC, Ustundag E, Bhattacharya K. (2005): Domain switching in polycrystalline ferroelectric ceramics. Nat Mater 4:776.
37. Maire E, Buffiére JY, Salvo L, Blandin JJ, Ludwig W, Létang JM. (2001): On the Application of X-ray Microtomography in the Field of Materials Science. Advanced Engineering Materials 3:539.
38. Mason TA, Adams BL. (1999): Use of microstructural statistics in predicting polycrystalline material properties. Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science 30:969.
39. Montgomery DC, Peck EA, Vining GG. (2006): Introduction to linear regression analysis. Hoboken, NJ: Wiley-Interscience.
40. Nikias CL, Petropulu AP. (1993): Higher-order spectra analysis: a nonlinear signal processing framework. Englewood Cliffs, N.J.: PTR Prentice Hall.
41. Novick-Cohen A, Segel LA. (1984): Nonlinear aspects of the Cahn-Hilliard equation. Physica D: Nonlinear Phenomena 10:277.
42. Ogunfunmi T. (2007): Adaptive Nonlinear System Identification: The Volterra and Wiener Model Approaches. Springer.
43. Oppenheim AV, Schafer, R. W., Buck, J.R. (1999): Discrete time signal processing. Prentice-Hall.
44. Petch NJ. (1953): The cleavage strength of Polycrystals. Journal of the Iron and Steel Institute 174:25.
45. Roach GF. (1982): Green's Functions. Cambridge University Press.
46. Saheli G, Garmestani H, Adams BL. (2004): Microstructure design of a two phase composite using two-point correlation functions. Journal of Computer-Aided Materials Design 11 103.
47. Sankaran S, Zabaras N. (2006): A maximum entropy approach for property prediction of random microstructures. Acta Materialia 54:2265.
48. Schafrik R. (2003): Technology Transition in Aerospace Industry Workshop on Accelerating Technology Transfer. National Research Council, Washington DC.
49. Seidman DN. (2007): Three-Dimensional Atom-Probe Tomography: Advances and Applications. Annual Review of Materials Research 37:127.
50. Shen C, Wang Y. (2003): Phase field model of dislocation networks. Acta Materi-alia 51:2595.
51. Sivel VGM, Van Den Brand J, Wang WR, Mohdadi H, Tichelaar FD, Alke-made PFA, Zandbergen HW. (2004): Application of the dual-beam FIB/SEM to metals research. Journal of Microscopy 214:237.
52. Tewari A, Gokhale AM, Spowart JE, Miracle DB. (2004): Quantitative characterization of spatial clustering in three-dimensional microstructures using two-point correlation functions. Acta Materialia 52:307.
53. Tong H. (1995): Non-linear time series: a dynamical system approach. Oxford; New York: Clarendon Press; Oxford University Press.
54. Torquato S. (1997): Effective stiffness tensor of composite media-I. Exact series expansions. Journal of the Mechanics and Physics of Solids 45:1421.
55. Torquato S. (2002): Random Heterogeneous Materials. New York: Springer-Verlag.
56. Van Houtte P. (1994): Application of plastic potentials to strain rate sensitive and insensitive anisotropic materials. International Journal of Plasticity 10:719.
57. Wheeler AA, Boettinger WJ, McFadden GB. (1992): Phase-field model for isothermal phase transitions in binary alloys. Physical Review A 45:7424.
58. Yamakov V, Wolf D, Phillpot SR, Mukherjee AK, Gleiter H. (2004): Deformation-mechanism map for nanocrystalline metals by molecular-dynamics simulation. Nat Mater 3:43.
59. Zbib HM, Rhee M, Hirth JP. (1998): On plastic deformation and the dynamics of 3D dislocations. International Journal of Mechanical Sciences 40:113.
60. Zeman J, Ejnoha M. (2007): From random microstructures to representative volume elements. Modelling and Simulation in Materials Science and Engineering 15:S325.
61. Zienkiewicz OC, Taylor RL. (2005): The Finite Element Method: for solid and structural mechanics. Oxford [u.a.]: Butterworth-Heinemann.