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

Benedetti, Lorenzo; Cervera, Miguel; Chiumenti, Michele

doi:10.1016/j.engfracmech.2017.03.025

Cited by 27 publications

(10 citation statements)

References 50 publications

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“…Computed results show good agreement with the experimental surface reported in [38]. The Drucker-Prager criterion is also considered to perform better than Rankine's for mixed mode fracture in references [25,32].…”

Section: Rankine Vs Drucker-prager Damage Criteriasupporting

confidence: 72%

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Appraisement of planar, bending and twisting cracks in 3D with isotropic and orthotropic damage models

2018

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This paper discusses the modeling of cracking in quasi-brittle materials using isotropic and orthotropic damage constitutive laws. A mixed strain/displacement finite element formulation is used, taking advantage of its enhanced precision and its enforced interelemental strain continuity. On the one hand, this formulation avoids the spurious mesh dependency of the computed solution associated to standard elements and does not require the use of tracking techniques. On the other hand, it greatly alleviates the spurious stress locking associated to the use of orthotropic models on standard finite elements.The performance of several isotropic and orthotropic damage constitutive laws is assessed through an extensive comparison with analytical solutions, numerical tests and experimental evidence reported in the literature. The behavior of the different damage models in terms of crack surface, collapse mechanism and force displacement curves is investigated performing 3D analyses in several conditions including Mode I, Mixed Mode and Mode III fracture.When performing the appraisement of planar, bending and twisting cracks, the enhanced accuracy of the mixed formulation allows for a distinct assessment of the several damage models considered. Aspects related to the behavior of damage models, such as the influence of Poisson's ratio, the shape of the damage surface and the adoption of isotropic and orthotropic models are investigated and noteworthy conclusions are drawn.

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Section: Rankine Vs Drucker-prager Damage Criteriasupporting

confidence: 72%

“…This formulation is presented in detail in reference [25]. For more details, references [20,21,24,32] are suggested.…”

Section: Mixed Fe For Strain Localizationmentioning

confidence: 99%

Appraisement of planar, bending and twisting cracks in 3D with isotropic and orthotropic damage models

2018

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“…-It is fully variationally consistent [49,50] -It can be formulated for small or finite displacements or/and kinematics [52,53] -It applies equally to 2D and 3D problems [51] -It is not restricted to a particular FE interpolation, it can be used with triangles/tetrahedra, quadrilaterals/hexahedra or prisms of any order [49-51] -It is not dependent on the choice of the constitutive equation, it can be applied both for plasticity and/or damage models of any kind [51,54] -It can consider isotropic or directional inelastic behavior [55] -It can address quasi-incompressible situations, including the incompressible limit [51,56] -It can accommodate rate-dependent viscid effects, linear or non-linear -It can be extended to include inertial forces in dynamics, or multi-physics phenomena in coupled problems [53] Also, and regarding cracking problems:…”

Section: Introductionmentioning

confidence: 99%

“…-It follows the classical local constitutive mechanics framework [50] -It can model Mode I (extension), Mode II (shear) and Mode III (tearing) and mixedmode fracture [51,55] -It can model structural size effect in quasi-brittle failure [54] -It can accommodate orthotropic damage models with unilateral, crack-closing effects -It does not require auxiliary crack tracking techniques [49][50][51] With reference to the above mentioned alternatives for the computational modeling of quasi-brittle cracks, the mixed finite element formulation here presented fits into the continuous approach, as the crack is represented at constitutive level using a local stress vs. strain relationship. Therefore, the separation between the two opposite sides of the crack is modelled through continuous (linear) displacement and strain fields.…”

Section: Introductionmentioning

confidence: 99%

Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy

2017

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The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-017-1438-8This paper discusses the finite element modeling of cracking in quasi-brittle materials. The problem is addressed via a mixed strain/displacement finite element formulation and an isotropic damage constitutive model. The proposed mixed formulation is fully general and is applied in 2D and 3D. Also, it is independent of the specific finite element discretization considered; it can be equally used with triangles/tetrahedra, quadrilaterals/hexahedra and prisms. The feasibility and accuracy of the method is assessed through extensive comparison with experimental evidence. The correlation with the experimental tests shows the capacity of the mixed formulation to reproduce the experimental crack path and the force–displacement curves with remarkable accuracy. Both 2D and 3D examples produce results consistent with the documented data. Aspects related to the discrete solution, such as convergence regarding mesh resolution and mesh bias, as well as other related to the physical model, like structural size effect and the influence of Poisson’s ratio, are also investigated. The enhanced accuracy of the computed strain field leads to accurate results in terms of crack paths, failure mechanisms and force displacement curves. Spurious mesh dependency suffered by both continuous and discontinuous irreducible formulations is avoided by the mixed FE, without the need of auxiliary tracking techniques or other computational schemes that alter the continuum mechanical problem.Peer ReviewedPostprint (author's final draft

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“…The Brokenshire torsion test has attracted large attention from the computational mechanics community [38][39][40][41][42][43][44][45][46] since the experimentally reported results, consisting of a nonplanar curved crack trajectory (Figure 23), are challenging for those numerical methods aiming to simulate 3D nonplanar crack propagation. Here we are presenting some numerical results obtaining by using the strain injection techniques and a Rankine plasticity model.…”

Section: Brokenshire Torsion Testmentioning

confidence: 99%

Strain-injection and crack-path field techniques for 3D crack-propagation modelling in quasi-brittle materials

2018

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This paper presents a finite element approach for modelling three-dimensional crack propagation in quasi-brittle materials, based on the strain injection and the crack-path field techniques. These numerical techniques were already tested and validated by static and dynamic simulations in 2D classical benchmarks [1-3] and, also, for modelling tensile crack propagation in real concrete structures, like concrete gravity dams [4]. The main advantages of the methodology are the low computational cost and the independence of the results on the size and orientation of the finite element mesh. These advantages were highlighted in previous works by the authors and motivate the present extension to 3D cases. The proposed methodology is implemented in the finite element framework using continuum constitutive models equipped with strain softening and consists, essentially, in injecting the elements candidate to capture the cracks with some goal oriented strain modes for improving the performance of the injected elements for simulating propagating displacement discontinuities. The goal-oriented strain modes are introduced by resorting to mixed formulations and to the Continuum Strong Discontinuity Approach (CSDA), while the crack position inside the finite elements is retrieved by resorting to the crack-path field technique. Representative numerical simulations in 3D benchmarks show that the advantages of the methodology already pointed out in 2D are kept in 3D scenarios.

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

Cited by 27 publications

References 50 publications

Appraisement of planar, bending and twisting cracks in 3D with isotropic and orthotropic damage models

Appraisement of planar, bending and twisting cracks in 3D with isotropic and orthotropic damage models

Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy

Strain-injection and crack-path field techniques for 3D crack-propagation modelling in quasi-brittle materials

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