A crack-tracking technique for localized damage in quasi-brittle materials

Cervera, Miguel; Pelà, Luca; Clemente, Roberto S.; Roca, Pere

doi:10.1016/j.engfracmech.2010.06.013

Cited by 87 publications

(114 citation statements)

References 33 publications

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“…Consequently, the characteristic length l ch is taken accordingly. Additional details of the models can be found in references [37] for the Drucker-Prager plasticity model, [35] for the Rankine plasticity model and [34,45,46] for the Rankine isotropic damage model. Figure 3, has a total length L = 260 mm, effectively supported span L e = 240 mm, by a thickness t = 10 mm and a total height w = 60 mm.…”

Section: Plasticity and Damage Modelsmentioning

confidence: 99%

3D numerical modelling of twisting cracks under bending and torsion of skew notched beams

Benedetti

Cervera

Chiumenti

2017

Engineering Fracture Mechanics

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The testing of mode III and mixed mode failure is every so often encountered in the dedicated literature of mechanical characterization of brittle and quasi-brittle materials. In this work, the application of the mixed strain displacement ε − u finite element formulation to three examples involving skew notched beams is presented. The use of this FE technology is effective in problems involving localization of strains in softening materials.The objectives of the paper are: (i) to test the mixed formulation in mode III and mixed mode failure and (ii) to present an enhancement in terms of computational time given by the kinematic compatibility between irreducible displacement-based and the mixed strain-displacement elements.Three tests of skew-notched beams are presented: firstly, a three point bending test of a PolyMethyl MethaAcrylate beam; secondly, a torsion test of a plain concrete prismatic beam with square base; finally, a torsion test of a cylindrical beam made of plain concrete as well. To describe the mechanical behavior of the material in the inelastic range, Rankine and Drucker-Prager failure criteria are used in both plasticity and isotropic continuum damage formats.The proposed mixed formulation is capable of yielding results close to the experimental ones in terms of fracture surface, peak load and global loss of carrying capability. In addition, the symmetric secant formulation and the compatibility condition between the standard irreducible method and the strain-displacement one is exploited, resulting in a significant speedup of the computational procedure.

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Section: Plasticity and Damage Modelsmentioning

confidence: 99%

3D numerical modelling of twisting cracks under bending and torsion of skew notched beams

Benedetti

Cervera

Chiumenti

2017

Engineering Fracture Mechanics

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“…The main concepts of the model are summarized here. For further details the reader can refer to [10,12] and the references therein. The constitutive equation is defined as…”

Section: Mode I Fracture Testmentioning

confidence: 99%

“…However, it must be noted that in general the proposed regularization cannot solve (and neither attempts to) the well-known problem of mesh-bias dependency of the FE solution, that is, some preferred directions might still exist in the model depending on the orientation of the mesh. Such issue can be however addressed by carefully choosing the finite element model employed in the coarse mesh, as demonstrated by recent works [7,10,11,12,38]. In particular the element formulation employed in current work (EAS [51]) makes it reasonably insensitive to mesh bias.…”

Section: Multiscale Simulationmentioning

confidence: 99%

Regularization of first order computational homogenization for multiscale analysis of masonry structures

et al. 2015

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This paper investigates the possibility of using classical first order computational homogenization together with a simple regularization procedure based on the fracture energy of the micro-scale-constituents. A generalized geometrical characteristic length takes into account the size of the macro-scale element as well as the size of the RVE (and its constituents). The proposed regularization ensures objectivity of the dissipated energy at the macro-scale, with respect to the size of the FE in both scales and with respect to the size of the RVE. The proposed method is first validated against benchmark examples, and finally applied to the numerical simulation of experimental tests on in-plane loaded shear walls made of periodic masonry.

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“…In the first application of crack-tracking techniques within the -8 -smeared approach Cervera & Chiumenti [Cervera & Chiumenti 2006a, Cervera & Chiumenti 2006b] determined the crack direction using the aforementioned global criterion of Oliver and co-workers . Later, the concept of tracking of the crack path was applied at a local level [Cervera et al 2010a] with the crack orientation determined to be perpendicular to the direction of the maximum principal stresses at the crack tip. Within this local criterion, spurious changes of propagation direction can be avoided by the opportune correction of the crack orientation based on potentially and consolidated damaged elements [Cervera et al 2010a] or by means of delayed crack path fixation [Slobbe et al 2014].…”

Section: Introductionmentioning

confidence: 99%

A crack-tracking technique for localized cohesive–frictional damage

Saloustros

Pelà

Cervera

2015

Engineering Fracture Mechanics

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-This paper extends the use of crack-tracking techniques within the smeared crack approach for the numerical simulation of cohesive-frictional damage on quasi-brittle materials. The mechanical behaviour is described by an isotropic damage model with a Mohr-Coulomb failure surface. The correct crack propagation among the two alternative fracture planes proposed by the Mohr-Coulomb theory is selected with the use of an energy criterion based on the total elastic strain energy. The simulation of three benchmark problems of mixed-mode fracture in concrete demonstrates that the proposed methodology can reproduce the material's frictional characteristics, showing robustness, as well as mesh-size and mesh-bias independence.

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A crack-tracking technique for localized damage in quasi-brittle materials

Cited by 87 publications

References 33 publications

3D numerical modelling of twisting cracks under bending and torsion of skew notched beams

3D numerical modelling of twisting cracks under bending and torsion of skew notched beams

Regularization of first order computational homogenization for multiscale analysis of masonry structures

A crack-tracking technique for localized cohesive–frictional damage

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