Influence of van der Waals forces on increasing the strength and toughness in dynamic fracture of nanofibre networks: A peridynamic approach

Modelling and Simulation in Materials Science and Engineering

Volumn 15, Issue 5, 2007, Pages 397-417

  Bobaru, F ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADHESIVES; FRACTURE MECHANICS; TOUGHNESS; VAN DER WAALS FORCES;

FIBER REORIENTATION; PERIDYNAMIC FORMULATION; POLYMER ADHESIVE; STATISTICAL VARIATIONS;

NANOFIBERS;

EID: 34547444016     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/15/5/002     Document Type: Article

References (43)

1. Li D and Xia Y 2004 Electrospinning of nanofibers: reinventing the wheel? Adv. Mater. 16 1151-70
2. Dzenis Y 2004 Spinning continuous fibers for nanotechnology Science 304 1917-19
3. Ramakrishna S, Fujihara K, Teo W-E, Lim T-C and Ma Z 2005 An Introduction to Electrospinning of Nanofibers (Singapore: World Scientific)
4. Stevens M M and George J H 2005 Exploring and engineering the cell surface interface Science 310 1135-8
5. Reneker D H, Yarin A L, Fong H and Koombhongse S 2000 Bending instability of electrically charged liquid jets of polymer solutions in electrospinning J. Appl. Phys. 87 4531-47
6. Yarin A L, Koombhongse S and Reneker D H 2001 Taylor cone and jetting from liquid droplets in electrospinning of nanofibers J. Appl. Phys. 90 4836-46
7. Bobaru F and Silling S A 2004 Peridynamic 3d models of nanofiber networks and carbon nanotube-reinforced composites Materials Processing and Design: Modeling, Simulation and Applications NUMIFORM (Columbus, Ohio, 2004) ed S Ghosh et al (New York: AIP) pp 1565-70
8. Bobaru F, Silling S A and Jiang H 2005 Peridynamic fracture and damage modeling of membranes and nanofiber networks The 11th Int. Conf. on Fracture (Turin, Italy, 1-6 2005) pp 1-6 paper no. 5748
9. Sastry A M, Cheng X and Wang C W 1998 Mechanics of stochastic fibrous networks J. Thermoplast. Compos. Mater. 11 288-96
10. Wang C W, Berhan L and Sastry A M 2000 Structure, mechanics and failure of stochastic fibrous networks: I. Microscale considerations J. Eng. Mater. Technol., Trans. ASME 122 450-9
11. Wang C W and Sastry A M 2000 Structure, mechanics and failure of stochastic fibrous networks: II. Network simulations and application J. Eng. Mater. Technol., Trans. ASME 122 460-8
12. Berhan L and Sastry A M 2003 On modeling bonds in fused, porous networks: 3d simulations of fibrous-particulate joints J. Compos. Mater. 37 715-40
13. Yi Y B, Berhan L and Sastry A M 2004 Statistical geometry of random fibrous networks, revisited: waviness, dimensionality, and percolation J. Appl. Phys. 96 1318-27
14. Astrom J A, Makinen J P, Alava M J and Timonen J 2000 Elasticity of poissonian fiber networks Phys. Rev. E 61 5550-6
15. Astrom J A, Makinen J P, Hirvonen H and Timonen J 2000 Stiffness of compressed fiber mats J. Appl. Phys. 88 5056-61
16. Wu X-F and Dzenis Y A 2005 Elasticity of planar fiber networks J. Appl. Phys. 98 093501-9
17. Zohdi T I and Steigmann D J 2002 The toughening effect of microscopic filament misalignment on macroscopic ballistic fabric response Int. J. Fract. 118 L71-6
18. Gonzalez C and Llorca J 2003 A numerical model to simulate the deformation and fracture of polyethylene fibres Modelling Simul. Mater. Sci. Eng. 11 349-64
19. Israelachvili J 1992 Intermolecular and Surface Forces 2nd edn (NewYork: Academic)
20. Gao H and Yao H 2004 Shape insensitive optimal adhesion of nanoscale fibrillar structures Proc. Natl Acad. Sci. 101 7851-6
21. Silling S A 2000 Reformulation of elasticity theory for discontinuities and long-range forces J. Mech. Phys. Solids 48 175-209
22. Eringen A C and Edelen D G B 1972 On non-local elasticity Int. J. Eng. Sci. 10 233-48
23. Eringen A C 1987 Theory of nonlocal elasticity: some applications Res. Mech. 21 313-42
24. Kunin I A 1982 Elastic Media with Microstructure I: One-Dimensional Models (Springer Series in Solid-State Sciences) (Berlin: Springer)
25. Silling S A, Zimmermann M and Abeyaratne R 2003 Deformation of a peridynamic bar J. Elast. 73 173-90
26. Silling S A and Bobaru F 2005 Peridynamic modeling of membranes and fibers Int. J. Non-Lin. Mech. 40 395-409
27. Silling S A and Askari E 2005 A meshfree method based on the peridynamic model of solid mechanics Comput. Struct. 83 1526-35
28. Bazant Z P and Jirasek M 2002 Nonlocal integral formulations of plasticity and damage: survey of progress J. Eng. Mech. 128 1119-49
29. Griffiths D V and Mustoe G G W 2001 Modelling of elastic continua using a grillage of structural elements based on discrete element concepts Int. J. Numer. Methods Eng. 50 1759-75
30. Cusatis G, Bazant Z P and Cedolin L 2003 Confinement-shear lattice model for concrete damage in tension and compression: I. Theory J. Eng. Mech. 129 1439-48
31. Cusatis G, Bazant Z P and Cedolin L 2003 Confinement-shear lattice model for concrete damage in tension and compression: I. Computation and validation J. Eng. Mech. 129 1449-58
32. Cusatis G, Bazant Z P and Cedolin L 2003 Confinement-shear lattice csl model for fracture propagation in concrete Comput. Methods Appl. Mech. Eng. 195 7154-71
33. Weckner O and Abeyaratne R 2005 The effect of long-range forces on the dynamics of a bar J. Mech. Phys. Solids 53 705-28
34. Bobaru F and Silling S A 2006 Peridynamic fracture of brittle polycrystalline ceramics 7th World Congress on Computational Mechanics (Los Angeles, California Jul. 2006)
35. Zhou Y, Freitag M, Hone J, Staii C and Johnson A T 2003 Fabrication and electrical characterization of polyaniline-based nanofibers with diameter below 30 nm Appl. Phys. Lett. Issue 83 3800-2
36. Xie W 2005 Peridynamic flux-corrected transport algorithm for shock wave studies Master's Thesis University of Nebraska-Lincoln, Lincoln, Nebraska
37. Bobaru F, Yang M, Alves L F, Silling S A and Askari A 2007 Adaptive refinement, scaling, and convergence in peridynamics: the 1-dimensional case (to be submitted)
38. Bobaru F, Xie W and Yang M 2007 Impact and spallation in brittle solids using peridynamics 17th U.S. Army symposium on Solid Mechanics (Baltimore, Maryland Apr. 2007) pp 205-6
39. Zussman E, Burman M, Yarin A L, Khalfin R and Cohen Y 2006 Tensile deformation of electrospun nylon-6, 6 nanofibers J. Polym. Sci. B: Polym. Phys. 44 1482-9
40. Silling S A 2001-2005 Emu: A Parallel Implementation of Peridynamics (Sandia National Laboratories)
41. Smith B L et al 1999 Molecular mechanistic origin of the toughness of natural adhesives, fibres and composites Nature 399 761-3
42. Thompson J B, Kindt J H, Drake B, Hansma H G, Morse D E and Hansma P K 2001 Bone indentation recovery time correlates with bond reforming time Nature 414 773-6
43. Ji B and Gao H 2004 Mechanical properties of nanostructure of biological materials J. Mech. Phys. Solids 52 1963-90