A special crack tip element for bending of plates with through cracks from a sixth-order plate theory

Viswanath, S and Murthy, MVV and Krishnamurthy, AV and Rao, KP (1989) A special crack tip element for bending of plates with through cracks from a sixth-order plate theory. Engineering Fracture Mechanics, Vol. 3 (01). pp. 91-109. ISSN 0013-7944

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    Abstract

    A special crack tip element for bending of plates with through cracks is developed. The element formulation is based on a general crack tip solution obtained from a continuum analysis based on Mindlin's theory satisfying all the three natural conditions on crack surface. A special feature of the element formulation is that, in setting up of the element stiffness matrix, only line integrations are involved rather than usual area integration, thus enabling the choice of any shape for the element. It is demonstrated through numerical examples that this crack tip element can be used in combination with conventional elements for accurate evaluation of stress intensity factors in practical problems. Numerical studies reveal that there exists an optimum crack tip element size with reference to thickness of plate which gives the best possible value of stress intensity factor.

    Item Type: Journal Article
    Uncontrolled Keywords: Bending moments;Crack tips;Load distribution(forces);Plate theory;Shear strain;Surface cracks;Finite element method; Reissner theory;Stiffness matrix;Stress intensity factors
    Subjects: ENGINEERING > Structural Mechanics
    Division/Department: Structures Division, Structures Division, Other, Other
    Depositing User: shankar sk nadoor
    Date Deposited: 13 Nov 2006
    Last Modified: 24 May 2010 09:53
    URI: http://nal-ir.nal.res.in/id/eprint/3374

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