Abstract
In this paper deformation theory is applied to a thin plate containing a through-crack. The in-plane normal stresses are assumed to be tensile, but with a nonuniform variation through the thickness of the plate, as a result of bending and a dominant extension. The nonlinear near-tip fields (which are singular) have been analyzed asymptotically on the basis of plate theory. Assuming small-scale yielding a path-independent integral, which is valid in a region close to the crack edge, is used to connect the nonlinear near-tip fields with the corresponding singular parts of the linear fields. It is shown that the nonlinear behavior near the crack edge significantly affects the through-the-thickness variations of the near-tip fields.
Original language | English (US) |
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Pages (from-to) | 67-79 |
Number of pages | 13 |
Journal | Advances in Colloid and Interface Science |
DOIs | |
State | Published - 1979 |
Event | Proc of an Int Conf on Fract Mech in Eng Appl, Natl Aeronaut Lab - Bangalore, India Duration: Mar 26 1979 → Mar 30 1979 |
ASJC Scopus subject areas
- Surfaces and Interfaces
- Physical and Theoretical Chemistry
- Colloid and Surface Chemistry