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

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

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.

Keywords

References

[l] M.H. Aliabadi and D.P. Rooke. Numerical Fracture Mechanics, Kluwer Academic Press, Dordrecht, 1991.
[2] A.M. Alvaredo and R.J. Torrent. The effect of the shape of the strain-softening diagram on the bearing capacity of concrete beams, Mat. Struct., 20: 448-454, 1987.
[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.
Published
May 31, 2023
How to Cite
MAIER, Giulio; FRANGI, Attilio. Symmetric boundary element method for "discrete" crack modelling of fracture processes. Computer Assisted Methods in Engineering and Science, [S.l.], v. 5, n. 3, p. 201-226, may 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1340>. Date accessed: 13 nov. 2024.
Section
Articles