Analytical solution for bending stress intensity factor from Reissner's plate theory

Chattopadhyay, Lalitha (2011) Analytical solution for bending stress intensity factor from Reissner's plate theory. Engineering, 3 (5). pp. 517-524.

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Official URL: http://dx.doi.org/10.4236/eng.2011.35060

Abstract

Plate-type structural members are commonly used in engineering applications like aircraft, ships nuclear re-actors etc. These structural members often have cracks arising from manufacture or from material defects or stress concentrations. Designing a structure against fracture in service involves consideration of strength of the structure as a function of crack size, dimension and the applied load based on principles of fracture mechanics. In most of the engineering structures the plate thickness is generally small and in these cases though the classical plate theory has provided solutions, the neglect of transverse shear deformation leads to the limitation that only two conditions can be satisfied on any boundary whereas we have three physical bound-ary conditions on an edge of a plate. In this paper this incompatibility is eliminated by using Reissner plate theory where the transverse shear deformation is included and three physically natural boundary conditions of vanishing bending moment, twisting moment and transverse shear stress are satisfied at a free boundary. The problem of estimating the bending stress distribution in the neighbourhood of a crack located on a single line in an elastic plate of varying thickness subjected to out-of-plane moment applied along the edges of the plate is examined. Using Reissner’s plate theory and integral transform technique, the general formulae for the bending moment and twisting moment in an elastic plate containing cracks located on a single line are derived. The thickness depended 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.

Item Type: Article
Additional Information: Copyright for this article belongs to M/s. Scientific Research
Uncontrolled Keywords: Reissner plate theory;Integral transform;Stress intensity factor;Singular integral equation
Subjects: AERONAUTICS > Aeronautics (General)
AERONAUTICS > Aircraft Design, Testing & Performance
Depositing User: Users 11 not found.
Date Deposited: 10 Jan 2013 04:44
Last Modified: 10 Jan 2013 04:44
URI: http://nal-ir.nal.res.in/id/eprint/11429

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