Macroscopic response and stability in lamellar nanostructured elastomers with "oriented" and "unoriented" polydomain microstructures

Mechanics of Materials

Volumn 42, Issue 4, 2010, Pages 451-468

  Racherla, Vikranth ^a   Lopez Pamies, Oscar ^b   Ponte Castañeda, Pedro ^c  

^a LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

^b Stony Brook University   (United States)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Homogenization; Lamellar TPEs; Macroscopic instabilities; Microstructure evolution

Indexed keywords

CONSTITUTIVE PROPERTIES; CRYSTALLOGRAPHIC TEXTURES; DEFORMATION MODES; ELASTIC INSTABILITIES; GRANULAR AGGREGATES; HARD BLOCKS; HIGH ENERGY; HYPER ELASTIC; MACROSCOPIC RESPONSE; MATERIAL SYSTEMS; MICROSTRUCTURE EVOLUTIONS; NANO- AND MICRO-STRUCTURE; NANO-STRUCTURED; ORIENTATION DISTRIBUTIONS; OVERALL STIFFNESS; POISSON'S RATIO; POLYCRYSTALLINE; POLYDOMAIN; SUDDEN CHANGE; TENSILE DIRECTIONS; TRIAXIAL DEFORMATION;

CONSTITUTIVE MODELS; DEFORMATION; PLASTICS; POISSON RATIO; RUBBER; STIFFNESS; THERMOPLASTIC ELASTOMERS;

LAMELLAR STRUCTURES;

EID: 77949269453     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2009.11.005     Document Type: Article

References (41)

1. Adams B.L., and Olson T. The mesostructure-properties linkage in polycrystals. Progress in Material Science 43 1 (1998) 1-87
2. Agoras M., Lopez-Pamies O., and Ponte Castañeda P. Onset of macroscopic instabilities in fiber-reinforced elastomers at finite strain. Journal of the Mechanics and Physics of Solids 57 (2009) 1828-1850
3. Allan P., Arridge R.G.C., Ehtaiatkar F., and Folkes M.J. The mechanical properties of an oriented lamella stock formed from an SBS block copolymer. Journal of Physics D 24 (1991) 1381-1390
4. Cheng J.Y., Ross C.A., Edwin L.T., Vanessa Z.H.C., Julius Vancso G., and Rob G.H.L. Formation of a Cobalt magnetic dot array via block copolymer lithography. Advanced Materials 13 15 (2001) 1174-1178
5. Cohen Y., Albalak R.J., Dair B.J., Capel M.S., and Thomas E.L. Deformation of oriented lamellar block copolymer films. Macromolecules 33 (2000) 6502-6516
6. deBotton G., and Ponte Castañeda P. On the ductility of laminated materials. International Journal of Solids and Structures 29 (1992) 2329-2353
7. Fredrickson G.H., and Bates F.S. Dynamics of block copolymers: theory and experiment. Annual Review of Materials Science 26 (1996) 501-550
8. Garcia, R., 2006. Etude du comportement sous déformation de copolymère à blocs SBS et SBM à morphologie lamellaire. In: Ph.D. Dissertation, Institut National des Sciences Appliquées de Lyon, France.
9. Geymonat G., Müller S., and Triantafyllidis N. Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity. Archive for Rational Mechanics and Analysis 122 (1993) 231-290
10. Gido S.P., Gunther J., and Thomas E.L. Lamellar diblock copolymer grain boundary morphology. 1. Twist boundary characterization. Macromolecules 26 (1993) 4506-4520
11. Hill R. On constitutive macro-variables for heterogeneous solids at finite strain. Proceedings of Royal Society of London A 326 (1972) 131-147
12. Honeker C.C., and Thomas E.L. Impact of morphological orientation in determining mechanical properties in triblock copolymers. Chemistry of Materials 8 (1996) 1702-1714
13. 2 deformation theory. In: Carlson D.E., and Shield R.T. (Eds). Proceedings of the IUTAM Symposium on Finite Elasticity (1981), Martinus Nijhoff Publishers, The Hague/Boston/London 237-247
14. Idiart M.I., and Ponte Castañeda P. Field statistics in nonlinear composites. I. Theory. Proceedings of Royal Society of London A 463 (2007) 183-202
15. Joo W., Soo Park M., and Kon Kim J. Block copolymer film with sponge-like nanoporous structure for antireflection coating. Langmuir 22 (2006) 7960-7963
16. Knowles J.K., and Sternberg E. On the ellipticity of the equations of nonlinear elastostatics for a special material. Journal of Elasticity 5 (1975) 341-361
17. Krumova M., Henning S., and Michler G.H. Chevron morphology in deformed semicrystalline polymers. Philosophical Magazine 86 (2006) 1689-1712
18. Laws N. On the thermostatics of composite materials. Journal of the Mechanics and Physics of Solids 21 (1973) 9-17
19. Lebensohn R.A., Tomé C.N., and Ponte Castañeda P. Self-consistent modeling of the mechanical behavior of viscoplastic polycrystals incorporating intragranular field fluctuations. Philosophical Magazine 87 (2007) 4287-4322
20. Lee B.J., Parks D.M., and Ahzi S. Micromechanical modeling of large plastic deformation and texture evolution in semicrystalline polymers. Journal of the Mechanics and Physics of Solids 41 (1993) 1651-1687
21. Lopez-Pamies, O., 2006. On the effective behavior, microstructure evolution, and macroscopic stability of elastomeric composites. In: Ph.D. Dissertation, University of Pennsylvania, USA.
22. Lopez-Pamies O., and Ponte Castañeda P. On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations: II. Application to cylindrical fibers. Journal of the Mechanics and Physics of Solids 54 (2006) 831-863
23. Lopez-Pamies O., Garcia R., Chabert E., Cavaille J.Y., and Ponte Castañeda P. Multiscale modeling of oriented thermoplastic elastomers with lamellar morphology. Journal of the Mechanics and Physics of Solids 56 (2008) 3206-3223
24. Lopez-Pamies O., and Ponte Castañeda P. Microstructure evolution in hyperelastic laminates and implications for overall behavior and macroscopic stability. Mechanics and Materials 41 (2009) 364-374
25. Lopez-Pamies, O., Idiart, M.I., 2009. Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory (Under revision).
26. Michel J.C., Lopez-Pamies O., Ponte Castañeda P., and Triantafyllidis N. Microscopic and macroscopic instabilities in finitely strained porous elastomers. Journal of the Mechanics and Physics of Solids 55 (2007) 900-938
27. Milton G.W. The theory of composites. Cambridge Monographs on Applied and Computational Mathematics vol. 6 (2002), Cambridge University Press, Cambridge
28. Nikolov S., Lebensohn R.A., and Raabe D. Self-consistent modeling of large plastic deformation, texture and morphology evolution in semi-crystalline polymers. Journal of the Mechanics and Physics of Solids 54 (2006) 1350-1375
29. Ponte Castañeda P. Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. Journal of the Mechanics and Physics of Solids 44 (1996) 827-862
30. Ponte Castañeda P., and Tiberio E. A second-order homogenization method in finite elasticity and applications to black filled elastomers. Journal of the Mechanics and Physics of Solids 48 (2000) 1389-1411
31. Ponte Castañeda P., and Willis J.R. Variational second-order estimates for nonlinear composites. Proceedings of the Royal Society of London A 455 (1999) 1799-1812
32. Read D.J., Duckett R.A., Sweeney J., and McLeish T.C.B. The chevron folding instability in thermoplastic elastomers and other layered materials. Journal of Physics D 32 (1999) 2087-2099
33. Séguéla R., and Prud'homme J. Deformation mechanism of thermoplastic 2-phase elastomer of lamellar morphology having a high volume fraction of the rubbery microphase. Macromolecules 14 (1981) 197-202
34. Triantafyllidis N., and Maker B.N. On the comparison between microscopic and macroscopic instability mechanisms in a class of fiber-reinforced composites. Journal of Applied Mechanics 52 (1985) 794-800
35. Triantafyllidis N., and Nestorvić N. Onset of failure in finitely strained layered composites subjected to combined normal and shear strain. Journal of the Mechanics and Physics of Solids 52 (2005) 941-974
36. Tzianetopoulou, T., 2007. Micro- and macromechanics of single crystal and polygranular lamellar block copolymers. In: Ph.D. Dissertation, Massachusetts Institute of Technology, USA.
37. Tzianetopoulou T., and Boyce M.C. Micromechanics of PS/PB/PS triblock-copolymer films with lamellar morphology. Materials Research Society Symposium Proceedings 788 (2004) L9.3
38. Vogler T.J., Hsu S.-Y., and Kyriakides S. On the initiation and growth of kink bands in fiber composite. Part II: analysis. International Journal of Solids and Structures 38 (2001) 2653-2682
39. Willis J.R. Bounds and self-consistent estimates for the overall properties of anisotropic composites. Journal of Mechanics and Physics and Solids 25 (1977) 185-202
40. Willis J.R. Variational and related methods for the overall properties of composites. Advances in Applied Mechanics 21 (1981) 1-78
41. Yang S.Y., Ryu I., Kim H.Y., Kim J.K., Jang S.K., and Russell T.P. Nanoporous membranes with ultrahigh selectivity and flux for the filtration of viruses. Advanced materials 18 (2006) 709-712