Three dimensional finite element simulations of fracture tests using the Craft concrete model

Jefferson, Tony; Barr, B.; Bennett, Terry; Hee, S. C.

doi:10.12989/cac.2004.1.3.261

Cited by 45 publications

(42 citation statements)

References 22 publications

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“…This experiment was first performed by Jefferson et al [49] on plain concrete specimens, but it was conducted on smaller PMMA beams as well by Buchholz et al [50].…”

Section: Prismatic Skew Notched Concrete Beam Under Torsionmentioning

confidence: 99%

“…The material properties are (from [49]): Young's modulus E = 35 GPa, Poisson's ratio ν = 0.2, tensile uniaxial strength σ y = 2.3 MPa and fracture energy G f = 80 N/m.…”

Section: Prismatic Skew Notched Concrete Beam Under Torsionmentioning

confidence: 99%

“…Indeed, the referenced work by Jefferson et al [49] is followed, although the batch of concrete for the cylindrical beams has not been tested for mechanical parameters. The numerical analysis has been performed considering Rankine's and Drucker-Prager's (with 45 • friction angle) failure criteria.…”

Section: Cylindrical Skew Notched Concrete Beam Under Torsionmentioning

confidence: 99%

“…Figure 21 compares the final shape of the crack surface for the four analyzed cases. No images of the experimental crack surface are given in [49]. Plasticity and isotropic damage in the case of Rankine's failure criterion show a larger and more complex fracture geometry, whereas the Drucker-Prager's ones are sensibly closer to the notch cross section.…”

Section: Cylindrical Skew Notched Concrete Beam Under Torsionmentioning

confidence: 99%

“…The less pronounced crack surface is the direct result of a failure criterion that is based on the interdependence Figure 24 shows the plot of applied load versus orthogonal and sliding CMOD values with the Rankine constitutive law while Figure 25 shows the same plot for the Drucker-Prager case. Here, the experimental values from [49] are compared with the numerical analyses.…”

Section: Cylindrical Skew Notched Concrete Beam Under Torsionmentioning

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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“…This experiment was first performed by Jefferson et al [49] on plain concrete specimens, but it was conducted on smaller PMMA beams as well by Buchholz et al [50].…”

Section: Prismatic Skew Notched Concrete Beam Under Torsionmentioning

confidence: 99%

“…The material properties are (from [49]): Young's modulus E = 35 GPa, Poisson's ratio ν = 0.2, tensile uniaxial strength σ y = 2.3 MPa and fracture energy G f = 80 N/m.…”

Section: Prismatic Skew Notched Concrete Beam Under Torsionmentioning

confidence: 99%

Section: Cylindrical Skew Notched Concrete Beam Under Torsionmentioning

confidence: 99%

Section: Cylindrical Skew Notched Concrete Beam Under Torsionmentioning

confidence: 99%

Section: Cylindrical Skew Notched Concrete Beam Under Torsionmentioning

confidence: 99%

See 3 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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A marching cubes based failure surface propagation concept for three‐dimensional finite elements with non‐planar embedded strong discontinuities of higher‐order kinematics

Linder

Zhang

2013

Numerical Meth Engineering

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SUMMARYThis paper presents an advanced failure surface propagation concept based on the marching cubes algorithm initially proposed in the field of computer graphics and applies it to the embedded finite element method. When modeling three‐dimensional (3D) solids at failure, the propagation of the failure surface representing a crack or shear band should not exhibit a strong sensitivity to the details of the finite element discretization. This results in the need for a propagation of the discrete failure zone through the individual finite elements, which is possible for finite elements with embedded strong discontinuities. Whereas for two‐dimensional calculations the failure zone propagation location is easily predicted by the maximal principal stress direction, more advanced strategies are needed to achieve a smooth failure surface in 3D simulations. An example for such method is the global tracking algorithm, which predicts the crack path by a scalar level set function computed on the basis of the solution of a simplified heat conduction like problem. Its prediction may though lead to various scenarios on how the failure surface may propagate through the individual finite elements. In particular, for a hexahedral eight‐node finite element, 256 such cases exist. To capture all those possibilities, the marching cubes algorithm is combined with the global tracking algorithm and the finite elements with embedded strong discontinuities in this work. In addition, because many of the possible cases result in non‐planar failure surfaces within a single finite element and because the local quantities used to describe the kinematics of the embedded strong discontinuities are physically meaningful in a strict sense only for planar failure surfaces, a remedy for such scenarios is proposed. Various 3D failure propagation simulations outline the performance of the proposed concept. Copyright © 2013 John Wiley & Sons, Ltd.

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Three-dimensional brittle fracture: configurational-force-driven crack propagation

Kaczmarczyk

Nezhad

Pearce

2013

Int. J. Numer. Meth. Engng

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SUMMARY This paper presents a computational framework for quasi‐static brittle fracture in three‐dimensional solids. The paper sets out the theoretical basis for determining the initiation and direction of propagating cracks based on the concept of configurational mechanics, consistent with Griffith's theory. Resolution of the propagating crack by the FEM is achieved by restricting cracks to element faces and adapting the mesh to align it with the predicted crack direction. A local mesh improvement procedure is developed to maximise mesh quality in order to improve both accuracy and solution robustness and to remove the influence of the initial mesh on the direction of propagating cracks. An arc‐length control technique is derived to enable the dissipative load path to be traced. A hierarchical hp‐refinement strategy is implemented in order to improve both the approximation of displacements and crack geometry. The performance of this modelling approach is demonstrated on two numerical examples that qualitatively illustrate its ability to predict complex crack paths. All problems are three‐dimensional, including a torsion problem that results in the accurate prediction of a doubly‐curved crack. Copyright © 2013 John Wiley & Sons, Ltd.

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Three dimensional finite element simulations of fracture tests using the Craft concrete model

Cited by 45 publications

References 22 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

A marching cubes based failure surface propagation concept for three‐dimensional finite elements with non‐planar embedded strong discontinuities of higher‐order kinematics

Three-dimensional brittle fracture: configurational-force-driven crack propagation

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