A bifurcation-based decohesion model for simulating the transition from localization to decohesion with the MPM

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 56, Issue 5, 2005, Pages 908-930

  Chen, Z ^a,b   Shen, L ^a   Mai, Y W ^c   Shen, Y G ^b  

^a University of Missouri   (United States)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Bifurcation; Decohesion; Delamination; Localization; MPM

Indexed keywords

EID: 24144483445     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-005-3011-0     Document Type: Article

References (27)

1. K. Baumung, G. Muller, J. Singer, G. I. Kanel and S. V. Razorenov, Strength of plasma sprayed turbine-blade coatings using an advanced spallation technique, Journal of Applied Physics 89 (2001), 6523-6529.
2. Z. P. Bazant and E. P. Chen, Scaling of structural failure, Applied Mechanics Reviews 50 (1997), 593-627.
3. T. Belytschko, Y. Krongauz, D. Organ, M. Fleming and P. Kryal, Meshless methods: an overview and recent developments, Computer Methods in Applied Mechanics and Engineering 139 (1996), 3-48.
4. Z. Chen, Continuous and discontinuous failure modes, Journal of Engineering Mechanics 122 (1996), 80-82.
5. Z. Chen and H. E. Fang, A study on the link between coupled plasticity/damage and decohesion for multi-scale modeling, Journal of Mechanical Engineering Science - Proceedings of the Institution of Mechanical Engineers Part C 215 (2001), 259-263.
6. Z. Chen, W. Hu, L. Shen, X. Xin and R. Brannon, An evaluation of the MPM for simulating dynamic failure with damage diffusion, Engineering Fracture Mechanics 69 (2002), 1873-1890.
7. Z. Chen and H. L. Schreyer, Formulation and Computational Aspects of Plasticity and Damage Models with Application to Quasi-Brittle Materials, SAND95-0329, Sandia National Laboratories, USA. 1990.
8. Z. Chen and H. L. Schreyer, On nonlocal damage models for interface problems, International Journal of Solids and Structures 31 (1994) 1241-1261.
9. K. M. Crosby and R. M. Bradley, Pattern formation during delamination and buckling of thin films, Physical Review E 59 (1999), R2542-R2545.
10. H. D. Espinosa and B. C. Prorok, Elasticity, plasticity and fracture of thin films and MEMS materials Part II: Size effects in submicron gold films. Submitted to Journal of the Mechanics and Physics of Solids, 2002.
11. G. Gioia and M. Ortiz, Delamination of compressed thin films, Advances in Applied Mechanics 33 (1997), 119-192.
12. J. E. Guilkey and J. A. Weiss, Implicit time integration for the material point method: Quantitative and algorithmic comparisons with the finite element method, International Journal for Numerical Methods in Engineering 57 (2003), 1323-1338.
13. F. H. Harlow, The particle-in-cell computing method for fluid dynamics in fundamental methods in hydrodynamics. In Experimental Arithmetic, High-Speed Computations and Mathematics, edited by B. Alder, S. Fernbach and M. Rotenberg, Academic Press 1964, 319-346.
14. R. Huang and Z. Suo, Wrinkling of a compressed elastic film on a viscous layer, Journal of Applied Physics 91 (2002), 1135-1142.
15. J. W. Hutchinson and Z. Suo, Mixed mode cracking in layered materials, Advances in Applied Mechanics 29 (1991), 63-191.
16. P. A. Klein, J. W. Foulk, E. P. Chen, S. A. Wimmer and H. Gao, Physics-based Modeling of Brittle Fracture: Cohesive Formulations and the Application of Meshfree Methods. SAND2001-8099, Sandia National Laboratories, USA, 2000.
17. M. M. lordache and K. Willam, Localized failure analysis in elastoplastic Cosserat continua, Computer Methods in Applied Mechanics and Engineering 151 (1998), 559-586.
18. D. Moldovan and L. Golubovic, Tethered membranes far from equilibrium: buckling dynamics, Physical Review E 60 (1999), 4377-4384.
19. N. S. Ottosen and K. Runesson, Properties of discontinuous bifurcation solutions in elasto-plasticity. International Journal of Solids and Structures 27 (1991), 401-421.
20. H. L. Schreyer, D. Sulsky and S.-J. Zhou, Modeling material failure as a strong discontinuity with the material point method. In Mechanics of Quasi-Brittle Materials and Structures: A Volume in Honor of Professor Zdenek P. Bazant's 60th Birthday, edited by G. Pijaudier-Cabot, et al., Hermes Science Publications, Paris, (1999), 307-329.
21. Y.-G. Shen, Y.-W. Mai, Q. C. Zhang, D. R. McKenzie, W. D. Fall and W. E. McBride, Residual stress, microstructure, and structure of Tungsten thin films deposited by magnetron sputtering, Journal of Applied Physics 87 (2000), 177-187.
22. D. Sulsky, Z. Chen and H. L. Schreyer, A particle method for history-dependent materials, Computer Methods in Applied Mechanics and Engineering 118 (1994), 179-196.
23. D. Sulsky, S.-J. Zhou and H. L. Schreyer, Application of a particle-in-cell method to solid mechanics, Computer Physics Communications 87 (1995), 236-252.
24. H. Tan, Combined atomistic and continuum simulation for fracture and corrosion. To be published in Comprehensive Structural Integrity, Vol. 8, edited by W. Gerberich and W. Yang. Elsevier Science, New York, 2002.
25. K. T. Wan and Y.-W. Mai, Fracture-mechanics of a new Blister test with stable Crackgrowth, Acta Metallurgien et Materialia 43 (1995), 4109-4115.
26. X.P. Xu and A. Needleman, Numerical simulations of fast crack growth in brittle solids, Journal of the mechanics and physics of solids 42 (1994), 1397-1434.
27. S. J. Zhou, J. Stormont and Z. Chen, Simulation of geomembrane response to subsidence by using the material point method, International Journal for Numerical and Analytical Methods in Geomechanics 23 (1999), 1977-1994.