Abstract
A numerical model is presented for analysing cohesive cracks under both quasi-static and dynamic loadings. The displacement discontinuities across the cohesive crack are captured independently of the finite element mesh structure. This overcomes the difficulties associated with using finite elements when simulating propagating cohesive cracks. The model is derived in a consistent manner from the weak equation of motion, with minimal assumptions. The performance of the model is shown through examples under both quasi-static and impact loading.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
I. Babuska and J. M. Melenk. The Partition of Unity Method. Int. J. Numer. Meth. Engng., 40 (4): 727–758, 1997.
T. Belytschko and T. Black. Elastic crack growth in finite elements with minimal remeshing. Int. J. Numer. Meth. Engng., 45 (5): 601–620, 1999.
G. Chen, Y. Ohnishi, and T. Ito. Development of high-order manifold method. Int. J. Numer Meth. Engng., 43 (4): 685–712, 1998.
C. A. Duarte and J. T. Oden. H-p clouds —an h-p meshless method. Num. Methods Part. Diff. Eqns., 12 (6): 673–705, 1996.
N. Moës, J. Dolbow, and T. Belytschko. A finite element method for crack growth without remeshing. Int. J. Numer. Meth. Engng., 46 (1): 131–150, 1999.
J. T. Oden, C. A. M. Duarte, and O. C. Zienkiewicz. A new cloud-based hp finite element method. Comput. Methods Appl. Mech. Engrg., 153 (1–2): 117–126, 1998.
E. Schlangen. Experimental and numerical analysis of fracture processes in concrete. PhD thesis, Delft University of Technology, 1993.
L. J. Sluys and R. De Borst. Failure in plain and reinforced concrete — an analysis of crack width and crack spacing. Int. J. Solids & Structures, 33 (20–22): 3257–3276, 1996.
R. L. Taylor, O. C. Zienkiewicz, and E. Orate. A hierarchical finite element method based on the partition of unity. Comput. Methods Appl. Mech. Engrg., 152 (1–2): 73–84, 1998.
M. G. A. Tijssens, L. J. Sluys, and E. Van der Giessen. Numerical simulation of quasi-brittle fracture using damaging cohesive surfaces. European J. Mech. A/Solids, 19 (5): 761–779, 2000.
J. Weerheijm. Concrete under impact tensile loading and lateral compression. PhD thesis, Delft University of Technology, 1992.
G. N. Wells and L. J. Sluys. Discontinuous analysis of softening solids under impact loading. Int. J. Num. Anal. Meth. Geomechanics, 25 (7): 691–709, 2001.
G. N. Wells and L. J. Sluys. A new method for modelling cohesive cracks using finite elements. Int. J. Milner Meth. Engng., 50 (12): 2667–2682. 2001.
G. N. Wells, R. De Borst, and L. J. Sluys. A consistent geometrically non-linear approach for delamination. Int. J. Numer Meth. Engng., 2001. (submitted).
G. N. Wells. Discontinuous modelling of strain localisation and failure. PhD thesis, Delft University of Technology, 2001.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Wells, G.N., de Borst, R., Sluys, L.J. (2002). Analysis of Cohesive Cracks Under Quasi-Static and Dynamic Loading. In: Karihaloo, B.L. (eds) IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials. Solid Mechanics and Its Applications, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0081-8_32
Download citation
DOI: https://doi.org/10.1007/978-94-017-0081-8_32
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5977-2
Online ISBN: 978-94-017-0081-8
eBook Packages: Springer Book Archive