Symmetric boundary element method for "discrete" crack modelling of fracture processes

Authors

  • Giulio Maier Technical University of Milan
    Italy
  • Attilio Frangi Technical University of Milan
    Italy

Abstract

Analysis of fracture processes in structures of quasi-brittle concrete-like materials is here discussed on the basis of discrete cohesive crack models and of a nontraditional boundary element method. This method, called "symmetric Galerkin BEM", is characterized by the combined use of static and kinematic sources (i.e. traction and displacement discontinuities) to generate a symmetric integral operator by its spacediscrclization in the Galerkin weighted-residual sense. Consistently, the discrete crack model is enforced in a weak sense and expressed in terms or Prager's generalized variables. On this basis, some of the main aspecls of a computational theory of quasi-brittle fracture mechanies are presented and discussed.

References

[l] M.H. Aliabadi and D.P. Rooke. Numerical Fracture Mechanics, Kluwer Academic Press, Dordrecht, 1991.
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[3] H. Antes and P.O. Panagiotopulos. The Boundary Integral Approach to Static and Dynamic Contact Problems, Birkhäuser, Basel, 1992.
[4] C. Balakrishna, L.J. Gray and J.H. Kane. Efficient analytical integration of symmetric Galerkin boundary integrals over curved elements: thermal conduction formulation, Camp. Meth. Appl. Mech. Engng., 117: 157- 179, 1994.
[5] L. Biolzi and J.F. Labuz. Global instability and bifurcation in beams composed of rock-like materials, Int. J. Solids Structures, 30: 359-370, 1993.

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Published

2023-05-31

Issue

pp. 201-226

Section

Articles

How to Cite

Maier, G., & Frangi, A. (2023). Symmetric boundary element method for "discrete" crack modelling of fracture processes. Computer Assisted Methods in Engineering and Science, 5(3), 201-226. https://cames3.ippt.pan.pl/index.php/cames/article/view/1340