onditions. Make a

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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2

Compute the plastic zone of a crack in Mode II both in plane strain condition and in
K2
plane stress conditions. Make a plot for the plastic zone and scale the radius by
[Hint: Consult with the solution of the plastic zone size in a Mode I, as discussed in class]
Use the stress field near a crack tip under Mode II.
sin
/2nr
5(2 + cos
30
2 + cos, cos-
2
Oxx =
30
sin =cos- coS
cos, cos
Oyy
2
V2ar
30
(1– sin-sin
Oxy
cos
V2ar
(a) Determine the principal at P
(b) Applying the von-Mises yield criterion, determine the plastic zone rp = rp(0)
(c) Compute the radius of plastic zone rp = rp(0 = 0)
%3D
Transcribed Image Text:Compute the plastic zone of a crack in Mode II both in plane strain condition and in K2 plane stress conditions. Make a plot for the plastic zone and scale the radius by [Hint: Consult with the solution of the plastic zone size in a Mode I, as discussed in class] Use the stress field near a crack tip under Mode II. sin /2nr 5(2 + cos 30 2 + cos, cos- 2 Oxx = 30 sin =cos- coS cos, cos Oyy 2 V2ar 30 (1– sin-sin Oxy cos V2ar (a) Determine the principal at P (b) Applying the von-Mises yield criterion, determine the plastic zone rp = rp(0) (c) Compute the radius of plastic zone rp = rp(0 = 0) %3D
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