Peridynamic States and Constitutive Modeling (original) (raw)
Access this article
Subscribe and save
- Starting from 10 chapters or articles per month
- Access and download chapters and articles from more than 300k books and 2,500 journals
- Cancel anytime View plans
Buy Now
Price excludes VAT (USA)
Tax calculation will be finalised during checkout.
Instant access to the full article PDF.
References
- Silling, S.A.: Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids 48, 175–209 (2000)
Article MATH Google Scholar - Silling, S.A., Bobaru, F.: Peridynamic modeling of membranes and fibers. Int. J. Non-linear Mech. 40, 395–409 (2005)
Article MATH Google Scholar - Kunin, I.A.: Elastic Media with Microstructure I: One-dimensional Models, pp. 27. Springer, Berlin (1982)
MATH Google Scholar - Rogula, D.: Nonlocal Theory of Material Media, pp. 137–149 and 243–278. Springer, Berlin (1982)
MATH Google Scholar - Silling, S.A., Zimmermann, M., Abeyaratne, R.: Deformation of a peridynamic bar. J. Elast. 73, 173–190 (2003)
Article MATH Google Scholar - Weckner, O., Abeyaratne, R.: The effect of long-range forces on the dynamics of a bar. J. Mech. Phys. Solids 53, 705–728 (2005)
Article MATH Google Scholar - Dayal, K., Bhattacharya, K.: Kinetics of phase transformations in the peridynamic formulation of solid mechanics. J. Mech. Phys. Solids 54, 1811–1842 (2006)
Article ADS Google Scholar - 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)
- 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)
- Gerstle, W., Sau, N., Silling, S.: Peridynamic modeling of concrete structures. Nucl. Eng. Des. 237, 1250–1258 (2007)
Article Google Scholar - 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)
Google Scholar - 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)
- 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)
- 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)
- 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)
Google Scholar - Silling, S.A., Askari, E.: A meshfree method based on the peridynamic model of solid mechanics. Comput. Struct. 83, 1526–1535 (2005)
Article Google Scholar - Weckner, O., Emmrich, E.: Numerical simulation of the dynamics of a nonlocal, inhomogeneous, infinite bar. J. Comput. Appl. Mech. 6, 311–319 (2005)
MATH Google Scholar - Knowles, J.K.: Linear Vector Spaces and Cartesian Tensors, pp. 1–9. Oxford University Press, New York (1998)
MATH Google Scholar - Malvern, L.E.: Introduction to the Mechanics of a Continuous Medium. Englewood Cliffs, p. 359. Prentice-Hall, New Jersey (1969)
Google Scholar - 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)