Regularized sequentially linear saw-tooth softening model

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 28, Issue 7-8, 2004, Pages 821-856

  Rots, Jan G ^a   Invernizzi, Stefano ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

Concrete; Fracture; Masonry; Mesh objectivity; Quasi brittle; Regularization; Saw tooth softening; Sequentially linear analysis; Snap back

Indexed keywords

BRITTLENESS; CRACK INITIATION; FRACTURE; ITERATIVE METHODS; STIFFNESS; STRAIN; STRUCTURAL LOADS; TENSILE STRENGTH;

LOAD DISPLACEMENT; MESH SIZE;

CRACKS;

BRITTLE FAILURE; CONCRETE; FRACTURE MECHANICS; MASONRY; NUMERICAL MODEL;

EID: 3242755768     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.371     Document Type: Article

References (37)

1. Crisfield MA. Difficulties with current numerical models for reinforced-concrete and some tentative solutions. Proceedings of the International Conference on Computer Aided Analysis and Design of Concrete Structures, Damjanic F, Bicanic N et al. (eds), vol. I. 1984; 331-358.
2. Rots JG. Sequentially linear continuum model for concrete fracture. In Fracture Mechanics of Concrete Structures, de Borst R, Mazars J, Pijaudier-Cabot G, van Mier JGM (eds), vol. 2. A.A. Balkema Publishers: Rotterdam, 2001; 831-839.
3. de Borst R, Bicanic N, Mang H, Meschke G (eds). Computational Modelling of Concrete Structures. Proceedings of EURO-C 1998. Balkema: Rotterdam, 1998.
4. de Borst R, Nauta P. Non-orthogonal cracks in a smeared finite element model. Engineering Computation 1986; 2: 35-46.
5. Rots JG, Nauta P, Kusters GMA, Blaauwendraad J. Smeared crack approach and fracture localization in concrete. HERON 1985; 30(l): 1-48.
6. de Borst R. Smeared cracking, plasticity, creep and thermal loading-a unified approach. Computer Methods in Applied Mechanics and Engineering 1987; 62: 89-110.
7. Rots JG. Computational modeling of concrete fracture. Ph.D. Thesis, Delft University of Technology, Delft, The Netherlands 1988.
8. Feenstra PH, Rots JG, Arnesen A, Teigen JG, Hoiseth KV. A 3D constitutive model for concrete based on a corotational concept. In Computational Modelling of Concrete Structures, de Borst R et al. (eds), Proceedings of EURO-C 1998. Balkema: Rotterdam, 1998; 13-22.
9. Cervenka V. Inelastic finite element analysis of reinforced concrete panels under in-plane loads. Dissertation University of Colorado, Boulder, USA, 1970.
10. Suidan M, Schnobrich WC. Finite element analysis of reinforced concrete. Journal of Structural Division (ASCE) 1973; 99(10):2109-2122.
11. Jirásek M, Zimmermann T. Rotating crack model with transition to scalar damage. Journal of Engineering Mechanics (ASCE) 1998; 124: 277-284.
12. Feenstra PH, de Borst R. A composite plasticity model for concrete. International Journal of Solids and Structures 1996; 33:707-730.
13. Lourenco P, de Borst R, Rots JG. A plane stress softening plasticity model for orthotropic materials. International Journal for Numerical Methods in Engineering 1997; 40:4033-4057.
14. Lourenco P. Computational strategies for masonry structures. Ph.D. Thesis, Delft University of Technology, Delft, The Netherlands 1996.
15. Meschke G, Lackner R, Mang HA. An anisotropic elastoplastic-damage model for plain concrete. International Journal for Numerical Methods in Engineering 1998; 42(4):703-727.
16. van Zijl GPAG, de Borst R, Rots JG. A numerical model for the time-dependent cracking of cementitious materials. International Journal for Numerical Methods in Engineering 2001; 52(7):637-654.
17. Bažant ZP, Oh BH. Crack band theory for fracture of concrete. RILEM Materials and Structures 1983; 16(93): 155-177.
18. Feenstra PH, Rots JG. Comparison of concrete models for cyclic loading. ASCE Committee Report Modelling of Inelastic Behaviour of RC Structures under Seismic Loads, 2001: 38-55.
19. Mazars J, Pijaudier-Cabot G. Continuum damage theory-application to concrete. Journal of Engineering Mechanics (ASCE) 1989; 115:345-365.
20. Bažant ZP, Pratt PC. Microplane model for brittle plastic material. Journal of Engineering Mechanics (ASCE) 1988; 114:1672-1702.
21. Pimanmas A, Maekawa K. Multi-directional fixed crack approach for highly anisotropic shear behaviour in precracked RC members. Journal of Materials and Concrete Structures Pavements (JSCE) 2001; 669/V-50: 293-307.
22. Carol I, Lopez CM, Aguado A. Micromechanical analysis of quasi-brittle materials using fracture-based interface elements. International Journal for Numerical Methods in Engineering 2001; 52(1-2):193-215.
23. Rots JG. (ed.). Structural masonry-An experimental/numerical basis for practical design rules. CUR Report 171, CUR, Gouda 1994 (in Dutch); Balkema: Rotterdam, 1997 (in English).
24. Frissen CN, Rots JG. Numerical simulation of stability of masonry structures. Collection of working reports CUR committee A33 masonry mechanics. Internal Report, TNO Building and Construction Research, Delft, 1999.
25. Stankowski T, Runesson K, Sture S. Fracture and slip of interfaces in cementituous composites. I. characteristics, and II: implementation. Journal of Structural Engineering (ASCE) 1993; 119:292-327.
26. Lourenco P, Rots JG. A multi-surface interface model for the analysis of masonry structures. Journal of Engineering Mechanics (ASCE) 1997; 123(7):660-668.
27. Carpinteri A. Mechanical Damage and Crack Growth in Concrete: Plastic Collapse to Brittle Fracture. Martinus Nijhoff Publishers: Dordrecht, 1986.
28. de Borst R. Computation of post-bifurcation and post-failure behaviour of strain-softening solids. Computers and Structures 1987; 25(2):211-224.
29. Rots JG. Settlement damage predictions for masonry. In Maintenance and Restrengthening of Materials and Structures-Brick and Brickwork, Verhoef LGW, Wittmann FH (eds). Proceedings International Workshop on Urban Heritage and Building Maintenance. Freiburg: Aedificatio, 2000; 47-62.
30. Boonpichetvong M, Rots JG. Settlement damage of masonry buildings in soft-ground tunneling. In: Computational Modelling of Concrete Structures, de Borst R et al. (eds). Proceedings of EURO-C 2003. Balkema: Lisse, 2003;655-665.
31. Schlangen E, van Mier JGM. Experimental and numerical analysis of micro-mechanisms of fracture of cement-based composites. Cement and Concrete Composites 1992; 14:105-118.
32. Beranek WJ, Hobbelman GJ. 2D and 3D-Modelling of concrete as an assemblage of spheres: revaluation of the failure criterion. In Fracture Mechanics of Concrete Structures, Wittmann FH (ed.). Proceeding of FRAMCOS-2. Freiburg: Aedification 1995; 965-978.
33. Bažant ZP, Cedolin L. Blunt crack band propagation in finite element analysis. Journal of Engineering Mechanics Division (ASCE) 1979; 105(2):297-315.
34. Rots JG. The smeared crack model for localized mode-I tensile fracture. In Numerical Models for Fracture Mechanics, Wittmann FH (ed.). Balkema: Rotterdam, 1993; 101-113.
35. Rots JG, Invernizzi S. Regularized saw-tooth softening. In Computational Modelling of Concrete Structures, de Borst R et al. (eds). Proceedings of EURO-C 2003. Balkema: Lisse, 2003; 599-617.
36. Oliver J. A consistent characteristic length for smeared cracking models. International Journal for Numerical Methods in Engineering 1989; 28:461-474.
37. Jirasek M, Zimmermann T. Embedded crack model: II. International Journal for Numerical Methods in Engineering 2001; 50(6):1269-1290.