Peridynamic states and constitutive modeling

Journal of Elasticity

Volumn 88, Issue 2, 2007, Pages 151-184

  Silling, S A ^a   Epton, M ^b   Weckner, O ^b   Xu, J ^b   Askari, E ^b  

^a SANDIA NATIONAL LABORATORIES   (United States)

^b BOEING COMPANY   (United States)

Author keywords

Constitutive model; Fracture; Material model; Nonlocal elasticity; Peridynamic; Plastic flow

Indexed keywords

FRACTURE; INCOMPRESSIBLE FLOW; PLASTIC DEFORMATION; PLASTIC FLOW; SOLIDS;

CONSTITUTIVE MODEL; MATERIAL MODEL; NONLOCAL ELASTICITY; PERIDYNAMICS;

MATHEMATICAL MODELS;

EID: 34547839624     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-007-9125-1     Document Type: Article

References (20)

1. Silling, S.A.: Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids 48, 175-209 (2000)
2. Silling, S.A., Bobaru, F.: Peridynamic modeling of membranes and fibers. Int. J. Non-linear Mech. 40, 395-409 (2005)
3. Kunin, I.A.: Elastic Media with Microstructure I: One-dimensional Models, pp. 27. Springer, Berlin (1982)
4. Rogula, D.: Nonlocal Theory of Material Media, pp. 137-149 and 243-278. Springer, Berlin (1982)
5. Silling, S.A., Zimmermann, M., Abeyaratne, R.: Deformation of a peridynamic bar. J. Elast. 73, 173-190 (2003)
6. Weckner, O., Abeyaratne, R.: The effect of long-range forces on the dynamics of a bar. J. Mech. Phys. Solids 53, 705-728 (2005)
7. Dayal, K., Bhattacharya, K.: Kinetics of phase transformations in the peridynamic formulation of solid mechanics. J. Mech. Phys. Solids 54, 1811-1842 (2006)
8. Gerstle, W., Sau, N.: Peridynamic modeling of concrete structures. In: Li, Leung, Willam, Billington (eds.) Proceedings of the 5th International Conference on Fracture Mechanics of Concrete Structures, Ia-FRAMCOS, vol. 2, pp. 949-956 (2004)
9. Gerstle, W., Sau, N., Silling, S.: Peridynamic modeling of plain and reinforced concrete structures. In: 18th International Conference on Structural Mechanics in Reactor Technology (SMiRT 18), Beijing, China, SMiRT18-B01-2 (2005)
10. Gerstle, W., Sau, N., Silling, S.: Peridynamic modeling of concrete structures. Nucl. Eng. Des. 237, 1250-1258 (2007)
11. Silling, S.A., Askari, E.: Peridynamic modeling of impact damage. In: Moody, F.J. (ed.) Problems Involving Thermal-Hydraulics, Liquid Sloshing, and Extreme Loads on Structures, PVP-vol. 489, pp. 197-205. American Society of Mechanical Engineers, New York (2004)
12. Askari, A., Xu, J., Silling, S.: Peridynamic analysis of damage and failure in composites. In: 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, AIAA-2006-88 (2006)
13. Kilic, B., Madenci, E., Ambur, D.R.: Analysis of brazed single-lap joints using the peridynamics theory. In: 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Newport, Rhode Island, AIAA-2006-2267 (2006)
14. Bobaru, F., Silling, S.A.: Peridynamic 3D models of nanofiber networks and carbon nanotube-reinforced composites. In: Materials Processing and Design: Modeling, Simulation, and Applications - NUMIFORM 2004 - American Institute of Physics Conference Proceedings, vol. 712, pp. 1565-1570 (2004)
15. Silling, S.A.: Dynamic fracture modeling with a meshfree peridynamic code. In: Bathe, K.J. (ed.) Computational Fluid and Solid Mechanics 2003, pp. 641-644. Elsevier, Amsterdam (2003)
16. Silling, S.A., Askari, E.: A meshfree method based on the peridynamic model of solid mechanics. Comput. Struct. 83, 1526-1535 (2005)
17. Weckner, O., Emmrich, E.: Numerical simulation of the dynamics of a nonlocal, inhomogeneous, infinite bar. J. Comput. Appl. Mech. 6, 311-319 (2005)
18. Knowles, J.K.: Linear Vector Spaces and Cartesian Tensors, pp. 1-9. Oxford University Press, New York (1998)
19. Malvern, L.E.: Introduction to the Mechanics of a Continuous Medium. Englewood Cliffs, p. 359. Prentice-Hall, New Jersey (1969)
20. Warren, T.L., Silling, S.A., Askari, E., Weckner, O., Epton, M., Xu, J.: A non-ordinary sate based peridynamic method using an isotropic elastic-plastic constitutive model, (2007) (in preparation)