Partition of unity-based discontinuous elements for interface phenomena: Computational issues

Communications in Numerical Methods in Engineering

Volumn 20, Issue 6, 2004, Pages 465-478

  Simone, A ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Displacement discontinuity; Interface elements; Partition of unity

Indexed keywords

ALGEBRA; BOUNDARY CONDITIONS; CRACK PROPAGATION; FUNCTIONS; INTEGRAL EQUATIONS; POLYNOMIALS;

INTERFACE CONTRIBUTION; INTERFACE ELEMENT;

STIFFNESS MATRIX;

MATHEMATICAL METHOD; MECHANICAL ENGINEERING; STIFFNESS;

EID: 2642553839     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.688     Document Type: Article

References (16)

1. Goodman RE, Taylor RL, Brekke TL. A model for the mechanics of jointed rocks. Journal of the Soil Mechanics and Foundations Division 1968; 94:637-659.
2. Saouma VE, Brühwiler E, Boggs HL. A review of fracture mechanics applied to concrete dams. International Journal of Dam Engineering 1990; 1(1):41-57.
3. Alfano G, Crisfield MA. Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues. International Journal for Numerical Methods in Engineering 2001; 50(7):1701-1736.
4. Bittencourt TN, Wawrzynek PA, Ingraffea AR, Souza JL. Quasi-automatic simulation of crack propagation for 2D LEFM problems. Engineering Fracture Mechanics 1996; 52(2):321-334.
5. Simo JC, Oliver J, Armero F. An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids. Computational Mechanics 1993; 12:277-296.
6. Melenk JM, Babuška I. The partition of unity finite element method: basic theory and applications. Computer Methods in Applied Mechanics and Engineering 1996; 139(1-4):289-314.
7. Duarte CAM, Oden JT. H-p clouds-an h-p meshless method. Numerical Methods for Partial Differential Equations 1996; 12(6):673-705.
8. Moës N, Dolbow J, Belytschko T. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering 1999; 46(1):131-150.
9. Wells GN, Sluys LJ. A new method for modelling cohesive cracks using finite elements. International Journal for Numerical Methods in Engineering 2001; 50(12):2667-2682.
10. Simone A, Wells GN, Sluys LJ. From continuous to discontinuous failure in a gradient-enhanced continuum damage model. Computer Methods in Applied Mechanics and Engineering 2003; 192(41-42):4581-4607.
11. Remmers JJC, de Borst R, Needleman A. A cohesive segments method for the simulation of crack growth. Computational Mechanics 2003; 31(1-2):69-77.
12. Schellekens JCJ, de Borst R. On the numerical integration of interface elements. International Journal for Numerical Methods in Engineering 1993; 36:43-66.
13. Oden JT, Duarte CAM, Zienkiewicz OC. A new cloud-based hp finite element method. Computer Methods in Applied Mechanics and Engineering 1998; 153(1-2):117-126.
14. Rots JG. Computational modeling of concrete fracture. Ph.D. Thesis, Delft University of Technology, 1988.
15. Remmers JJC, Wells GN, de Borst R. Analysis of delamination growth with discontinuous finite elements. In Solids, Structures and Coupled Problems in Engineering, Proceedings of the Second European Conference on Computational Mechanics, Waszczyszyn Z, Pamin J (eds), vol. 2. Fundacja Zdrowia Publicznego. Vesalius Publisher: Cracow, Poland, 2001; 906-907. On CD-ROM.
16. Rots JG, Schellekens JCJ. Interface elements in concrete mechanics. In Computer Aided Analysis and Design of Concrete Structures, Bićanić N, Mang HA (eds). Pineridge Press: Swansea, U.K., 1990; 909-918.