On the finite element method in linear fracture mechanics

Chan, S.K.; Tuba, I. S.; Wilson, W.K.

doi:10.1016/0013-7944(70)90026-3

Cited by 565 publications

(219 citation statements)

References 7 publications

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“…According to the anisotropic mechanical model and mechanical parameters, finite element method (Chan et al, 1970) is used to calculate stress field and strain field around the tip of crack along different directions. One is along the direction of directional tension; the other is along the vertical direction of directional tension.…”

Section: Fracture Mechanical Properties By Femmentioning

confidence: 99%

Study of anisotropic mechanical properties for aeronautical PMMA

Shang

Yang

Zhang

2014

Lat. Am. j. solids struct.

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For the properties of polymer are relative to its structure, the main purpose of the present work is to investigate the mechanical properties of the aeronautical PMMA which has been treated by the directional tensile technology. Isodyne images reveal the stress state in directional PMMA. And then, an anisotropic mechanical model is established. Furthermore, all mechanical parameters are measured by the digital image correlation method. Finally, based on the anisotropic mechanical model and mechanical parameters, the FEM numerical simulation and experimental methods are applied to analyze the fracture mechanical properties along different directions.

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Section: Fracture Mechanical Properties By Femmentioning

confidence: 99%

Study of anisotropic mechanical properties for aeronautical PMMA

Shang

Yang

Zhang

2014

Lat. Am. j. solids struct.

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“…Gross and his colleagues have published a variety of solutions using collocation methods [5]. In all these instances, and in others where extraction of a stress intensity is the objective [6], it is essential to have at the outset a certain foreknowledge of the structure of the singularity.…”

Section: Planar Elasticitymentioning

confidence: 99%

“…The inclusion of body forces due, for example, to gravitational or centrifugal loading (as in a spinning disc) is effected merely through adding appropriate terms to the potential energy in ($) and (6). Thermal excitation is included in an analogous manner.…”

Section: Some Simple Extensionsmentioning

confidence: 99%

“…Even with this relation, however, it is clear that no constraint on the expo-6 (5) (6) nent q has obtained; indeed, solving the stiffness equation could go forward with virtually any value for q. Were q somehow known, however, the computation at this stage is unremarkable except for (what appears to be) some negligible incompatabilities between the special and regular elements.…”

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Singularity computations

Swedlow

1978

Numerical Meth Engineering

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“…In the last category, there are at least three variants, including the displacement extrapolation method [4][5][6][7], the quarter-point displacement method [8], and the displacement correlation method [9,10]. These methods and others have been compared in a number of studies [e.g.…”

Section: Introductionmentioning

confidence: 99%

Generalized displacement correlation method for estimating stress intensity factors

Johnson

Settgast

et al. 2012

Engineering Fracture Mechanics

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Summary:Conventional displacement-based methods for estimating stress intensity factors require special quarter-point finite elements in the first layer of elements around the fracture tip and substantial near-tip region mesh refinement. This paper presents a generalized form of the displacement correlation method (the GDC method), which can use any linear or quadratic finite element type with homogeneous meshing without local refinement. These two features are critical for modeling dynamic fracture propagation problems where locations of fractures are not known a priori. Because regular finite elements' shape functions do not include the square-root terms, which are required for accurately representing the near-tip displacement field, the GDC method is enriched via a correction multiplier term. This paper develops the formulation of the GDC method and includes a number of numerical examples, especially those consisting of multiple interacting fractures. We find that the proposed method using quadratic elements is accurate for mode-I and mode-II fracturing, including for very coarse meshes. An alternative formulation using linear elements is also demonstrated to be accurate for mode-I fracturing, and acceptable mode-II results for most engineering applications can be obtained with appropriate mesh refinement, which remains considerably less than that required by most other methods for estimating stress intensities.

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On the finite element method in linear fracture mechanics

Cited by 565 publications

References 7 publications

Study of anisotropic mechanical properties for aeronautical PMMA

Study of anisotropic mechanical properties for aeronautical PMMA

Singularity computations

Generalized displacement correlation method for estimating stress intensity factors

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