Plasticity-triggered architectural effects in periodic multilayers with wavy microstructures

International Journal of Plasticity

Volumn 26, Issue 2, 2010, Pages 273-287

  Khatam, Hamed ^a   Pindera, Marek Jerzy ^a  

^a University of Virginia   (United States)

Author keywords

Elastic plastic phases; Finite volume theory; Homogenization; Periodic multilayers; Wavy architectures

Indexed keywords

ELASTIC-PLASTIC PHASES; FINITE-VOLUME THEORY; HOMOGENIZATION; PERIODIC MULTILAYERS; WAVY ARCHITECTURES;

ELASTOPLASTICITY; IONIC CONDUCTION; MICROMECHANICS; MULTILAYERS; PLASTICITY; PLASTICITY TESTING; PLASTICS; STRAIN HARDENING; TITRATION;

ELASTIC MODULI;

EID: 70350736096     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2009.06.002     Document Type: Article

References (47)

1. Aboudi J., Pindera M.J., and Arnold S.M. Higher-order theory for periodic multiphase materials with inelastic phases. Int. J. Plasticity 19 (2003) 805-847
2. Arnold S.M., Pindera M.J., and Wilt T.E. Influence of fiber architecture on the inelastic response of metal matrix composites. Int. J. Plasticity 12 4 (1996) 507-545
3. Bailey C., and Cross M. A finite volume procedure to solve elastic solid mechanics problems in three dimensions on an unstructured mesh. Int. J. Numer. Methods Eng. 38 (1995) 1757-1776
4. Bansal Y., and Pindera M.J. A second look at the higher-order theory for periodic multiphase materials. J. Appl. Mech. 72 (2005) 177-195 See also: NASA CR2004-213043
5. Bansal Y., and Pindera M.J. Finite-volume direct averaging micromechanics of heterogeneous materials with elastic-plastic phases. Int. J. Plasticity 22 5 (2006) 775-825
6. Basic H., Demirdzic I., and Muzaferija S. Finite volume method for simulation of extrusion processes. Int. J. Numer. Methods Eng. 62 (2005) 475-494
7. Bijelonja I., Demirdzic I., and Muzaferija S. A finite volume method for incompressible linear elasticity. Comput. Methods Appl. Mech. Eng. 195 (2006) 6378-6390
8. Brockenbrough J.R., and Suresh S. Plastic deformation of continuous fiber-reinforced metal-matrix composites: effects of fiber shape and distribution. Scripta Metall. Mater. 24 (1990) 325-330
9. Brockenbrough J.R., Suresh S., and Wienecke H.A. Deformation of metal-matrix composites with continuous fibers: geometric effects of fiber distribution and shape. Acta Metall. Mater. 39 5 (1991) 735-752
10. Bufler H. Theory of elasticity of a multilayered medium. J. Elasticity 1 (1971) 125-143
11. Cavalcante M.A.A., Marques S.P.C., and Pindera M.-J. Parametric formulation of the finite-volume theory for functionally graded materials. Part I: Analysis. J. Appl. Mech. 74 5 (2007) 935-945
12. Cavalcante M.A.A., Marques S.P.C., and Pindera M.-J. Parametric formulation of the finite-volume theory for functionally graded materials. Part II: Numerical results. J. Appl. Mech. 74 5 (2007) 946-957
13. Cavalcante M.A.A., Marques S.P.C., and Pindera M.-J. Computational aspects of the parametric finite-volume theory for functionally graded materials. J. Comput. Mater. Sci. 44 (2008) 422-438
14. Chaboche J.L., Kruch S., Maire J.F., and Pottier J. Towards a micromechanics based inelastic and damage modeling of composites. Int. J. Plasticity 17 4 (2001) 411-439
15. Charalambakis N., and Murat F. Homogenization of stratified thermoviscoplastic materials. Q. Appl. Math. 64 2 (2006) 359-399
16. Chatzigeorgiou G., Charalambakis N., and Murat F. Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties. Int. J. Solids Struct. 45 (2008) 5165-5180
17. Chen I.W., and Winn E.J. Delaminating layered oxide composites with wavy interfaces. Z. Metall. 92 7 (2001) 757-761
18. Conlon K.T., and Wilkinson D.S. Effect of particle distribution on deformation and damage of two-phase alloys. Mater. Sci. Eng. A317 (2001) 108-114
19. Corbin S.F., and Wilkinson D.S. The influence of particle distribution on the mechanical response of a particulate metal matrix composite. Acta Metall. Mater. 42 4 (1994) 1311-1318
20. Demirdzic I., Martinovic D., and Ivankovic A. Numerical simulation of thermomechanical deformation processes in a welded work-piece. Zavarivanje 31 (1988) 209-219 in Serbo-Croat
21. Demirdzic I., and Martinovic D. Finite volume method for thermo-elastic-plastic stress analysis. Comput. Methods Appl. Mech. Eng. 109 (1993) 331-349
22. Demirdzic I., and Muzaferija S. Finite volume method for stress analysis in complex domains. Int. J. Numer. Methods Eng. 37 (1994) 3751-3766
23. Drago A.S., and Pindera M.-J. Micro-macromechanical analysis of heterogeneous materials: macroscopically homogeneous vs periodic microstructures. Compos. Sci. Technol. 67 6 (2007) 1243-1263
24. Fallah N. A cell vertex and cell centred finite volume method for plate bending analysis. Comput. Methods Appl. Mech. Eng. 193 (2004) 3457-3470
25. Fallah N. On the use of shape functions in the cell centered finite volume formulation for plate bending analysis based on Mindlin-Reissner plate theory. Comput. Struct. 84 (2006) 1664-1672
26. Gattu M., Khatam H., Drago A.S., and Pindera M.-J. Parametric finite-volume micromechanics of uniaxial, continuously-reinforced periodic materials with elastic phases. J. Eng. Mater. Technol. 130 3 (2008) 31015
27. Hill R. Elastic properties of reinforced solids: some theoretical principles. J. Mech. Phys. Solids 11 (1963) 357-372
28. Khatam H., and Pindera M.-J. Thermo-elastic moduli of periodic multilayers with wavy architectures. Composites B 40 1 (2009) 50-64
29. Khatam H., and Pindera M.-J. Parametric finite-volume micromechanics of periodic materials with elastoplastic phases. Int. J. Plasticity 25 7 (2009) 1386-1411
30. Khatam, H., Cavalcante, M.A.A., Marques, S.P.C., Pindera, M.-J., 2008. Parametric FVDAM vs FE analysis of multilayers with wavy architectures. In: The Mechanics Conference, Virginia Tech, Blacksburg, VA, May 29-30.
31. Kosmac T., and Dakskobler A. The preparation and properties of layered ceramic-matrix composites with ribbon-like microstructures. J. Ceram. Soc. Jpn. 114 11 (2006) 988-994
32. Mendelson A. Plasticity: Theory and Application (1986), Krieger Publishing Co., Malabar, FL (reprint edition)
33. Ohno N., Wu X., and Tatsuda T. Homogenized properties of elastic-viscoplastic composites with periodic internal structures. Int. J. Mech. Sci. 42 8 (2000) 1519-1536
34. Partom V.Z., and Kudryavtsev B.A. Engineering Mechanics of Composite Structures (1993), CRC Press, Boca Raton
35. Pindera M.-J. Local/global stiffness matrix formulation for composite materials and structures. Compos. Eng. 1 2 (1991) 69-83
36. Pindera M.-J., and Bansal Y. On the micromechanics-based simulation of metal matrix composite response. J. Eng. Mater. Technol. 129 3 (2007) 468-482
37. Sanchez-Palencia E. Non-inhomogeneous media and vibration theory. Lecture Notes in Physics vol. 127 (1980), Springer-Verlag, New York, Berlin
38. Shi G.-D., Liang J., Chen G.-Q., and Du S.-Y. Comparison of two NiCoCrAl/YSZ microlaminates deposited on substrates with different surface roughness by EB-PVD. Trans. Nonfer. Metals Soc. China 17 (2007) S808-S813 (Special Issue: Part B Sp. Iss. 1)
39. Suquet P.M. Elements of homogenization for inelastic solid mechanics. Lecture Notes in Physics vol. 272 (1987), Springer-Verlag, New York, Berlin pp. 193-278
40. Taylor G.A., Bailey C., and Cross M. Solutions of the elastic/visco-plastic constitutive equations: a finite volume approach. Appl. Math. Model. 19 (1995) 746-760
41. Taylor G.A., Bailey C., and Cross M. A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics. Int. J. Numer. Methods Eng. 56 (2003) 507-529
42. 3-Ni composites. J. Eur. Ceram. Soc. 26 (2006) 891-896
43. Versteeg H.K., and Malalasekera W. An Introduction to Computational Fluid Dynamics: The Finite Volume Method (1995), Prentice Hall, New York
44. Wheel M.A. A finite-volume approach to the stress analysis of pressurized axisymmetric structures. Int. J. Press. Vessels Piping 68 (1996) 311-317
45. Wenke P., and Wheel M.A. A finite volume method for solid mechanics incorporating rotational degrees of freedom. Comput. Struct. 81 (2003) 321-329
46. Wheel M.A. A control volume-based finite element method for plane micropolar elasticity. Int. J. Numer. Methods Eng. 75 (2008) 992-1006
47. Williams T.O., and Pindera M.J. An analytical model for the inelastic axial shear response of unidirectional metal matrix composites. Int. J. Plasticity 13 3 (1997) 261-289