Crack growth analysis in concrete using boundary element method

Cohesive crack propagation using a boundary element formulation with a tangent operator

“…For an elastic domain  , with boundary  , one can easily derive the integral representation of displacements as follows: To obtain this integral representation one has to differentiate equation (6) to obtain the strain integral equation, apply the Hooke's law to achieve the stress integral representation and then multiply this equation by the director cosines of the crack surfaces to obtain the traction representation for smooth collocations as follows:…”

“…The solution techniques for the majority of the proposed works to analyse crack problems using BEM are based on iterative schemes that corrects the forces between the crack faces that satisfy the criterion adopted (see for instance Saleh and Aliabadi [6]). These processes are simple and the relevant matrices are also kept constant during the process.…”

Cohesive Discontinuities Growth Analysis using a Nonlinear Boundary Element Formulation

“…This structure was analysed experimentally by Saleh et al, [14] and numerically by Oliveira et al, [6,7]. The geometry, boundary conditions and material Cohesive interface 2m 2m properties of the problem are presented in Figure 11.…”

An embedded cohesive crack model for finite element analysis of quasi-brittle materials

“…Saleh and Aliabadi [29] validated their numerical model by taking f t = 2.8 -MPa and G F = 100 N/m. Xie and Gerstle [24] for the same set of tests took: f t = 4.0 MPa and G F = 150 N/m; obviously, the concrete fracture parameters are quite different.…”

“…The cohesive crack model, developed by Hillerborg and co-authors [1] for mode I fracture of concrete, was shown to be efficient to model the fracture process of quasi-brittle materials. It has been extended to mixed mode fracture (modes I and II) and incorporated into finite element programs [23][24][25][26][27][28] and into boundary element codes [29]. One of the difficulties associated with these programs is that they require the remeshing and/or refinement of the finite element mesh when the crack grows, and some of them also require an input of material properties that are difficult to evaluate.…”