An analytical and experimental study of the plate tearing mode of fracture

Jones, Douglas L.; Subramonian, N.

doi:10.1016/0013-7944(83)90022-x

Cited by 4 publications

(4 citation statements)

References 11 publications

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“…The above stress intensity factor is the same as that of given by Sih et al (1962), Jones and Subramonian (1983), Zehnder and Hui (1994), Murakami (1987) and Lalitha Chattopadhyay (2003) for isotropic material. Case (b): In this case we assume that the plate containing a crack is subjected to the twisting moment H 0 (Figure 2) along its edges.…”

Section: Particular Cases Of Loadings Along the Edges Of The Platementioning

confidence: 96%

“…We note that these boundary conditions are expressed in terms of surface stresses by Jones et al (1983). The solution to the present problem may be obtained by judiciously superposing the simple solution of an uncracked plate under uniform bending moment or twisting moment to that of a cracked plate with bending or twisting moment applied to the crack surfaces.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Sih et al (1962) applied a complex variable method for evaluating the strength of stress singularities at crack tips in plate extension and bending problems. A straightforward and accurate analytical method for the determination of crack-tip stress fields in pure bending and twisting problems for thin plates is proposed by Jones and Subramonian (1983), where the three dimensional equations of equilibrium have been reduced to an equivalent two dimensional set by using the simplifications valid for pure bending of thin plates. A study of plate-tearing mode of fracture from the simplified analytical approach and finite element approach is validated through photoelastic results in (Jones and Subramonian (1983)).…”

Section: Introductionmentioning

confidence: 99%

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Analytical Solution for an Orthotropic Elastic Plate Containing Cracks

Chattopadhyay

2005

Int J Fract

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The problem of estimating the bending stress distribution in the neighborhood of a crack located on a single line in an orthotropic elastic plate of constant thickness subjected to bending moment or twisting moment is examined. Using classical plate theory and integral transform techniques, the general formulae for the bending moment and twisting moment in an elastic plate containing cracks located on a single line are derived. The solution is obtained in a closed form for the case in which there is a single crack in an infinite plate and the results are compared with those obtained from the literature.

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Section: Particular Cases Of Loadings Along the Edges Of The Platementioning

confidence: 96%

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytical Solution for an Orthotropic Elastic Plate Containing Cracks

Chattopadhyay

2005

Int J Fract

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“…Very little research has been devoted to this topic. [1][2][3][4] As a result, the response of notched laminates subjected to out-of-plane loads is not well understood. This lack of understanding can lead to overly conservative design.…”

Section: Introductionmentioning

confidence: 99%

Mesh Dependency in Progressive Failure Modeling of Notched Laminates Under Out-of-Plane Bending

Parmigiani¹,

Kennedy²,

Wright³

2012

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

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A study was conducted to determine effective finite-element analysis techniques, using the commercial finite element package Abaqus, for modeling the out-of-plane bending fracture of notched carbon-fiber laminate panels for aircraft applications. This study consisted of both a computational component for model development and an experimental component for model validation. The nature of the panel fracture required the inclusion of damage in the model. This led to a review of built-in Abaqus capabilities for modeling composite damage, the associated strain-softening behavior, and mesh dependency. This review and subsequent analysis indicated that element strength was a function of element size and was thus caused mesh depenedency. This dependency was resolved by using, as much as possible, a notch-tip mesh having a gradual variation in element size. The specific mesh selected was the coarsest mesh giving a converged solution for the linear-elastic portion of the loading. Using this mesh, model results were in close agreement with experimental results.Nomenclature σ 11, σ 22, τ 12 = nominal stress ε 11, ε 22, γ 12 = nominal strain σ 11 , σ 12 , τ 12= effective stress d f , d m ,d s = damage variables for fiber, matrix, and shear X T , X C = fiber tensile and compressive strengths Y T , Y C = matrix tensile and compressive strengths S L , S T = shear longitudinal and transverse strengths α = shear stress coefficient E 1 , E 2 , ν 12 , ν 21 = orthotropic elastic constants L c = characteristic length δ eq ft , δ eq fc , δ eq mt , δ eq mc = equivalent displacements for fiber tension, fiber compression, matrix tension, and matrix compression damage modes δ eq * , σ eq * = equivalent displacement and stress for activated damage mode δ eq 0* , σ eq 0* = equivalent displacement and stress at initiation for activated damage mode δ eq 0* , σ eq 0* = equivalent displacement and stress at initiation for activated damage mode δ eq f* = equivalent displacement at failure for activated damage zone σ eq ft , σ eq fc , σ eq mt , σ eq mc = equivalent stresses for fiber tension, fiber compression, matrix tension, and matrix compression damage modes d ft , d fc , d mt , d mc = damage variables for fiber tension, fiber compression, matrix tension, and matrix compression d* = damage variable for activated damage mode

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Application of the Eigenfunction Expansion Method to Determine Crack-Tip Stresses in Thin Plates Subjected to Bending
Subramonian
¹
,
Jones
²

1984
Fracture 84
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An analytical and experimental study of the plate tearing mode of fracture

Cited by 4 publications

References 11 publications

Analytical Solution for an Orthotropic Elastic Plate Containing Cracks

Analytical Solution for an Orthotropic Elastic Plate Containing Cracks

Mesh Dependency in Progressive Failure Modeling of Notched Laminates Under Out-of-Plane Bending

Application of the Eigenfunction Expansion Method to Determine Crack-Tip Stresses in Thin Plates Subjected to Bending

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