Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: Fundamentals

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 21, 1996, Pages 3575-3600

  Oliver, J ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Damage; Localization; Plasticity; Strain softening; Strong discontinuity analysis

Indexed keywords

COMPUTER SIMULATION; ELASTOPLASTICITY; STRAIN RATE; STRESS CONCENTRATION;

SOLID MECHANICS; STRAIN SOFTENING;

MECHANICS;

SOLID MECHANICS; STRAIN SOFTENING; STRONG DISCONTINUITY ANALYSIS;

EID: 0030294819     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19961115)39:21<3575::AID-NME65>3.0.CO;2-E     Document Type: Article

References (21)

1. R. Hill, 'Acceleration waves in solids', J. Mech. Phys. Solids, 16, 1-10 (1962).
2. E. N. Dvorkin, A. M. Cuitiño and G. Gioia 'Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions'; Int. j. numer. methods eng., 30, 541-564, (1990).
3. A. Hillerborg, 'Numerical methods to simulate softening and fracture of concrete', in: G.C. Sih and A. Di Tomaso (eds.), Fracture Mechanics of Concrete: Structural Application and Numerical Calculation, 1985, pp. 141-170.
4. H. R. Lofti and P. B. Shing, 'Analysis of concrete fracture with an embedded crack approach', in: H. Mang et al. (eds.), Proc. EURO-C 1994 Computer Modelling of Concrete Structures, Pineridge Press, Swansea, 1994, 343-352.
5. T. Belytschko, J. Fish and B. E. Engelmann, 'A finite element with embedded localization zones'. Comput. Methods Appl. Mech. Eng., 70, 59-89, (1988).
6. J. Oliver, 'A consistent characteristic length for smeared cracking models', Int. j. numer. methods eng., 28, 461-474 (1989).
7. J. Oliver, M. Cervera, S. Oiler and J. Lubliner, 'Isotropic damage models and smeared crack analysis of concrete', in: N. Bicanic et. al. (eds.), Proc. SCI-C Computer Aided Analysis and Design of Concrete Structures, Pineridge Press, Swansea, 1990, pp. 945-951.
8. O. C. Zienkiewicz, M. Huang and M. Pastor, 'Localization problems in plasticity using finite elements with adaptive remeshing'; Int. j. numer. methods eng., 19, 127-148 (1995).
9. G. Pijaudier Cabot and Z. P. Bazant, 'Nonlocal damage theory', J. Eng. Mech. ASCE, 113, 1512-1533 (1987).
10. R. De Borst, H. B. Muhlhaus, J. Pamin and L. J. Sluys 'Computational modelling of localisation of deformation, in D. R. J. Owen et. al., (eds.), Proc. 3rd Conf. on Computational Plasticity: Fundamentals and Applications, Pineridge Press, Swansea, 1992, pp. 483-508.
11. A. Needleman, 'Material rate dependence and mesh sensitivity in localization problems', Comput. Methods. Appl. Mech. Eng., 67, 69-86 (1988).
12. J. C. Simo, J. Oliver and F. Armero, 'An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids', Comput. Mech., 12, 277-296 (1993).
13. J. Oliver and J. C. Simo, 'Modelling strong discontinuities by means of strain softening constitutive equations', in: H. Mang et. al. (eds.), Proc. EURO-C 1994 Computer Modelling of Concrete Structures, Pineridge Press, Swansea, 1994, pp. 363-372.
14. J. C. Simo and J. Oliver, 'A new approach to the analysis and simulation of strong discontinuities', in: Z. P. Bazant et. al., (eds.), Fracture and Damage in Quasibrittle Structures, E & FN Spon, 1994, pp. 25-39.
15. J. Oliver, 'Continuum modelling of strong discontinuities in solid mechanics', in: D. R. J. Owen et. al. (eds.), Proc. COMPLAS IV, 4th Int. Conf. on Computational Plasticity, Pineridge Press, Swansea, 1995, pp. 455-479.
16. R. Larsson, K. Runesson and M. Akesson 'Embedded localization band based on regularized strong discontinuity', in D. R. J. Owen et al. (eds.), Proc. COMPLAS IV, 4th Int. Conf. on Computational Plasticity, Pineridge Press, Swansea, 1995, pp. 599-610.
17. F. Armero and K. Garikipati, 'Recent advances in the analysis and numerical simulation of strain localization in inelastic solids', D. R. J. Owen et. al., (eds.), Proc. COMPLAS IV 4th Int. Conf. on Computational Plasticity, Pineridge Press, Swansea, 1995, pp. 547-561.
18. K. Willam and N. Sobh, 'Bifurcation analysis of tangential material operators', in: G. N. Pande et. al. (eds.), Proc. NUMETA-87 Transient/Dynamic Analysis of Constitutive Laws for Engineering Materials, C4/1-C4/13, Martinus Nijhoff Publishers, Dordrecht, 1987.
19. N. S. Ottosen and K. Runesson, 'Properties of discontinuous bifurcation solutions in elasto-plasticity', Int. J. Solids Struct., 27, 401-421, (1991).
20. R. Larsson, K. Runesson and N. S. Ottosen 'Discontinuous displacement approximation for capturing plastic localization; Int. j. numer. methods eng., 36, 2087-2105, (1993).
21. K. Runesson, N. S. Ottosen and D. Peric, 'Discontinuous bifurcations of elastic-plastic solutions at plane stress and plane strain', Int. J. Plasticity, 7, 99-121 (1991).