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Fracture Mechanics of Thin Plates and Shells Under Combined Membrane, Bending, and Twisting Loads

Appl. Mech. Rev.  -- January 2005 --  Volume 58,  Issue 1, 37 (12 pages)
doi:10.1115/1.1828049

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Author(s):
Alan T. Zehnder
Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853–1502

Mark J. Viz
Exponent Failure Analysis Associates, Chicago, IL 60606
The fracture mechanics of plates and shells under membrane, bending, twisting, and shearing loads are reviewed, starting with the crack tip fields for plane stress, Kirchhoff, and Reissner theories. The energy release rate for each of these theories is calculated and is used to determine the relation between the Kirchhoff and Reissner theories for thin plates. For thicker plates, this relationship is explored using three-dimensional finite element analysis. The validity of the application of two-dimensional (plate theory) solutions to actual three-dimensional objects is analyzed and discussed. Crack tip fields in plates undergoing large deflection are analyzed using von Kármán theory. Solutions for cracked shells are discussed as well. A number of computational methods for determining stress intensity factors in plates and shells are discussed. Applications of these computational approaches to aircraft structures are examined. The relatively few experimental studies of fracture in plates under bending and twisting loads are also reviewed. There are 101 references cited in this article.

©2005 ASME

KEYWORDS and PACS

Keywords
PACS
  • 46.70.De
    Beams, plates, and shells (continuum mechanics)
  • 46.50.+a
    Fracture mechanics, fatigue and cracks
  • 46.32.+x
    Static buckling and instability
  • 46.35.+z
    Viscoelasticity, plasticity, viscoplasticity
  • YEAR: 2005

PUBLICATION DATA

Coden:
AMREAD
ISSN:
0003-6900 (print)   0003-6900 (online)
Publisher:
AIP is a member of CrossRef ASME

REFERENCES (101)

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