Comparison of crack growth simulation by DBEM and FEM for SEN-specimens undergoing torsion or bending loading

Citarella, Roberto; Buchholz, F.-G.

doi:10.1016/j.engfracmech.2007.03.039

Cited by 75 publications

(45 citation statements)

References 7 publications

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“…Concerning the irreducible formulation, the results shows a clear mesh bias, with a relatively small twisting rotation for the isotropic damage case and almost no twisting at all in the case of plasticity. Figure 9 depicts the relative position of the computed crack path with respect to the notch location compared to the experimental results reported by Citarella and Buchholz [47] and the XFEM numerical simulation of Ferté et al [48]. Once again, standard displacement based finite elements are unable to provide a satisfactory result, with the crack having a marked tendency to follow one of the directions of the mesh, independently from the constitutive law.…”

Section: Associative Plasticity Model Isotropic Continuum Damage Modelmentioning

confidence: 94%

“…The initial profile of the localization band coincides in all four examples: the surface develops from Figure 9: Plot of the computed crack path with respect to the experimental data from Citarella and Buchholz [47] and previous results from Ferté et al [48]. the two opposite inner corners of the notch and connects (almost) symmetrically at the center of the specimen.…”

Section: Associative Plasticity Model Isotropic Continuum Damage Modelmentioning

confidence: 96%

“…Lazarus and Leblond [6] and Lazarus et al [8] studied the same problem in the case of monotonic load. Finally, Citarella and Buchholz [47] and Ferté et al [48] studied the problem from a computational stand point using the Boundary Elements Method and the X-FEM technology, respectively. Examining the experimental results (Figure 4), the crack starts from the initial notch and, with increasing applied load, a rotation of the failure surface is observable.…”

Section: Plasticity and Damage Modelsmentioning

confidence: 99%

“…The initial notch is a = 20 mm high (a = w/3), with a constant section width of 2 mm and a slant angle γ = 45 • . Figure 3: Geometry of the twisted crack 3PB test, taken from Citarella and Buchholz [47] This test was initially introduced by Pook [1] to study the propagation of the crack front under cyclic loading in steel specimens. More recently, the same tests were recreated by Cooke and Pollard [5], Buchholz et al [9] using PolyMethyl MethAcrylate (PMMA), also known as Plexiglass, in order to better examine the crack front evolution through its transparency.…”

Section: Plasticity and Damage Modelsmentioning

confidence: 99%

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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: Associative Plasticity Model Isotropic Continuum Damage Modelmentioning

confidence: 94%

Section: Associative Plasticity Model Isotropic Continuum Damage Modelmentioning

confidence: 96%

Section: Plasticity and Damage Modelsmentioning

confidence: 99%

Section: Plasticity and Damage Modelsmentioning

confidence: 99%

See 2 more Smart Citations

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 crack is subjected to a mixed mode loading condition and a twisted propagation is obtained. The problem has been solved in [54] and the solution reported there is taken as reference. [54] are shown in Fig.…”

Section: Crack Propagation Algorithms Validation (Benchmark Study)mentioning

confidence: 99%

FEM analysis of in-flight ice break-up

Zhang¹,

Kerdi²,

Khurram³

et al. 2012

Finite Elements in Analysis and Design

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Phase‐field modeling of brittle fracture in a 3D polycrystalline material via an adaptive isogeometric‐meshfreeapproach

Nguyen‐Thanh

Zhou

2020

Numerical Meth Engineering

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Phase-field modeling, which introduces the regularized representation of sharp crack topologies, provides a convenient strategy for tackling 3D fracture problems. In this work, an adaptive isogeometric-meshfree approach is developed for the phase-field modeling of brittle fracture in a 3D polycrystalline material. The isogeometric-meshfree approach uses moving least-squares approximations to construct the equivalence between isogeometric basis functions and meshfree shape functions, thus inheriting the flexible local mesh refinement scheme from a meshfree method. This refinement scheme is improved by introducing an error estimator that includes both the phase field and its gradient. With the present approach, numerical implementations of the adaptive phase-field modeling that introduces the anisotropy of fracture resistance in polycrystals are proposed. In this way, propagating cracks can be dynamically tracked, and the mesh near cracks is refined in a meshfree manner without requiring a priori knowledge of crack paths. Furthermore, the intergranular and transgranular crack propagation patterns in polycrystalline materials can be simulated by the present approach. A series of numerical examples that deal with the isotropic and anisotropic fracture are investigated to demonstrate the robustness and effectiveness of the proposed approach. K E Y W O R D S adaptivity, anisotropy, isogeometric-meshfree approach, phase-field modeling, polycrystalline material 1 INTRODUCTION Fracture behaviors of engineering materials and structures, such as crack initiation, propagation, coalescence, and branching, have been extensively investigated by two types of numerical models: the discrete and diffusive models. The discrete model treats cracks as moving boundaries by constructing discontinuous displacement fields. Within the framework of a discrete model, a variety of methods have been developed, such as the extended finite element method (XFEM), 1 cohesive zone method, 2,3 extended isogeometric analysis (XIGA), 4 and extended meshfree method. 5 As a discrete model requires descriptions of crack surfaces, it suffers from low computational efficiencies induced by the tracking of complex 5042

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Comparison of crack growth simulation by DBEM and FEM for SEN-specimens undergoing torsion or bending loading

Cited by 75 publications

References 7 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

FEM analysis of in-flight ice break-up

Phase‐field modeling of brittle fracture in a 3D polycrystalline material via an adaptive isogeometric‐meshfreeapproach

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