A mixed hybrid finite element for three-dimensional elastic crack analysis

Kuna, Meinhard; Zwicke, Michael

doi:10.1007/bf00012610

Cited by 14 publications

(5 citation statements)

References 8 publications

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“…No previous information of the nature of the solution is used for basis enrichment [20,21]. No specific eigenfunctions are employed to incorporate stress solution-type fields ∼r −1/2 into elements enclosing the crack tip [10][11][12][13]. In this sense, Bernstein patch around crack tip may be considered as a region of enhanced quality for the stress field for EDI method rather than a crack tip element itself.…”

Section: Coupled Fem-bernstein Approximationmentioning

confidence: 99%

“…Further investigations found specific formulations for three-dimensional hybrid crack tip elements, e.g. Kuna and Zwicke [13]. Today FEM is a powerful tool for simulating crack propagation taking advantage of its flexibility and the increase of the robustness of the remeshing algorithms, specially for three-dimensional analysis [14,15], although fitting the discontinuity surfaces without distortion of tetrahedral or hexahedral elements is still a major challenge.…”

Section: Introductionmentioning

confidence: 99%

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A coupled FEM–Bernstein approach for computing the J k integrals

Garijo¹,

Gómez-Escalonilla

Valencia

2014

Arch Appl Mech

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The stress intensity factors of mixed mode I-II crack loading are often evaluated numerically via FEM implementation combined with the equivalent domain integral method to derive the J k integrals. Mesh refinement or singular elements are classic techniques for reproducing the sharp stress gradient due to material fracture. In this context, high-order Bernstein shape functions are proposed for a model that couples a radial spectral expansion for the stress field around crack tip with a finite element mesh in the outer regions. Lagrange multipliers are used to enforce the coupling in displacements along the FEM-Bernstein approximations interface, in which non-matching nodal patterns are allowed.

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Section: Coupled Fem-bernstein Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A coupled FEM–Bernstein approach for computing the J k integrals

Garijo¹,

Gómez-Escalonilla

Valencia

2014

Arch Appl Mech

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“…However, independent of these difficulties and due to their sound theoretical bases, the equilibrium hybrid elements as used in fracture mechanics have been used with success in several areas. Among these areas, one can cite composite and anisotropic material applications [44,45], thermo-elastic applications [46], and determination of the T-stress factor [47] and three-dimensional analysis [48].…”

Section: Introductionmentioning

confidence: 99%

Hybrid singular elements in fracture mechanics

Bismarck-Nasr

Fernandes

2006

Proceedings of the Institution of Mechanical Engineers, Part G:

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A method using the concept of singular hybrid finite element for the determination of the stress intensity factor and the T stress of cracked panels submitted to plane stress and plane strain states is presented. A complete formulation of a hybrid equilibrium singular superelement is presented. This super-element includes linear, bilinear, and quadratic shape functions, allowing its use with linear, bilinear, and quadratic displacement-based conventional finite elements. The method is applied to various typical configurations of cracked rectangular plates, including stiffened panels. The results obtained are discussed and compared with previous available data.

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“…However, when the energy method [20,25] is used to calculate the stress intensity factor, the results are improved. Among these areas, one can cite composite and anisotropic material applications [44,45], thermo-elastic applications [46], and determination of the T-stress factor [47] and three-dimensional analysis [48]. In order to bypass these deficiencies, several special or singular elements have been proposed in order to simulate the crack.…”

Section: Introductionmentioning

confidence: 99%