Can multiscale-multiphysics methods predict softening damage and structural failure?

International Journal for Multiscale Computational Engineering

Volumn 8, Issue 1, 2010, Pages 61-67

  Bažant, Zdeněk P ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

Damage localization; Finite element methods; Fracture; Lattice particle simulation; Material characteristic length; Nonlocal models; Scale bridging; Scaling

Indexed keywords

BRITTLE STRUCTURES; COMPLEX MATERIALS; CONSTITUTIVE LAW; DAMAGE LOCALIZATION; MACRO SCALE; MATERIAL CHARACTERISTICS; MATERIAL DAMAGES; MESOSCALE; MULTI-PHYSICS; MULTIPHYSICS SIMULATIONS; MULTISCALES; NONLOCAL MODELS; PARTICLE SIMULATIONS; SEMI-EMPIRICAL; STRUCTURAL DAMAGES; STRUCTURAL FAILURE;

BRITTLE FRACTURE; DAMAGE DETECTION; FRACTURE MECHANICS; MATERIALS;

FINITE ELEMENT METHOD;

EID: 77949629863     PISSN: 15431649     EISSN: None     Source Type: Journal    
DOI: 10.1615/IntJMultCompEng.v8.i1.50     Document Type: Article

References (21)

1. Bažant, Z. P., Instability, ductility, and size effect in strain-softening concrete, J. Eng. Mech. Div., ASCE., vol.102(EM2), pp. 331-344, 1976.
2. Bažant, Z. P. and Wahab, A. B., Instability and spacing of cooling or shrinkage cracks, J. Eng. Mech. Div., ASCE, vol.105, pp. 873-889, 1979.
3. Bažant, Z. P., Mechanics of fracture and progressive cracking in concrete structures, Fracture Mechanics of Concrete: Structural Application and Numerical Calculation, G. C. Sih and A. DiTommaso, Eds., Dordrecht:Martinus Nijhoff, pp. 1-94, 1985.
4. Bažant, Z. P., Mechanics of distributed cracking, Appl. Mech. Rev., vol.39, pp. 675-705, 1986.
5. Bažant, Z. P. and Planas, J., Fracture and Size Effect in Concrete and Other Quasibrittle Materials, Boca Raton: CRC Press, 1998.
6. Bažant, Z. P., Adley, M. D., Carol, I., Jiŕasek, M., Akers, S. A., Rohani, B., Cargile, J. D., and Caner, F. C., Large-strain generalization of microplane model for concrete and application, J. Eng. Mech. ASCE, vol.126(9), pp. 971-980, 2000.
7. Bažant, Z. P., Scaling of Structural Strength, 2nd updated ed., London: Hermes Penton Science, New York: Elsevier (2005), French translation, Paris: Herm̀es Science Publ. (2004), 2002.
8. Bažant, Z. P. and Jiŕasek, M., Nonlocal integral formulations of plasticity and damage: Survey of progress, ASCE J. Eng. Mech., vol.128(11), pp. 1119-1149, 2002.
9. Bažant, Z. P., Scaling theory for quasibrittle structural failure, Proc., Nat. Acad. Sci., vol.101(37), pp. 14000-14007, 2004.
10. Bažant, Z. P. and Pang, S.-D., Mechanics based statistics of failure risk of quasibrittle structures and size effect on safety factors, Proc. of Nat. Acad. Sci., vol.103(25), pp. 9434-9439, 2006.
11. Bažant, Z. P. and Pang, S.-D., Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture, J. Mech. Phys. Solids., vol.55, pp. 91-134, 2007.
12. Cusatis, G., Bažant, Z. P., and Cedolin, L., Confinement-shear lattice model for concrete damage in tension and compression: I. theory, J. Eng. Mech. ASCE, vol.129(12), pp. 1439-1448, 2003.
13. Cusatis, G., Bažant, Z. P., and Cedolin, L., Confinement-shear lattice CSL model for fracture propagation in concrete, Comput. Methods Appl. Mech. Eng., vol.195, pp. 7154- 7171, 2006.
14. Cusatis, G. and Cedolin, L., Two-scale study of concrete fracturing behavior, Eng. Fract. Mech., vol.74, pp. 3-17, 2007.
15. Fish, J., Yu, Q., and Shek, K., Computational damage mechanics for composite materials based on mathematical homogenization, Int. J. Numer. Methods Eng., vol.45, pp. 1657- 1679, 1999.
16. Fish, J. and Yu, Q., Multiscale damage modeling for composite materials: theory and computational framework, Int. J. Numer. Methods Eng., vol.52, pp. 161-191, 2001.
17. Ghoniem, N. M., Busso, E. P., Kioussis, N., and Huang, H., Multiscale modeling of nanomechanics and micromechanics: An overview, Philos. Mag., vol.83(31-34), pp. 3475- 3528, 2003.
18. Kadowaki, H. and Liu,W.-K., Bridging multi-scale method for localization problems, Comput. Methods Appl. Mech. Eng., vol.193, pp. 3267-3302, 2004.
19. Liu, W.-K., Karpov, E. G., and Park, H. S., Nano Mechanics and Materials: Theory, Multiscale Methods and Applications, Wiley, Chichester, UK (Sec. 6.8), 2006.
20. Oskay, C. and Fish, J., Eigendeformation-based reduced order homogenization, Comput. Methods Appl. Mech. Eng., vol.196, pp. 1216-1243, 2007.
21. Tadmor, E. B., Ortiz, M., and Phillips, R., Quasicontinuum analysis of defects in solids, Philos. Mag. A., vol.73(6), pp. 1529-1563, 1996.