Reference no: EM131335072
Question 1 -
1) Plot the singular stress components, σxx, σyy and τxy for a cracked body under Mode I, Mode II and Mode III loading with a stress intensity factor Ki = 10 MPa·m1/2 (i = I, II and III). Plot the stresses near the crack tip (r < 2 mm). In order to obtain a meaningful figure, take into account that the stresses for very short r tend to infinity (singularity). It is recommended to use Matlab (file guide_plot2D.m may provide some guidelines).
2) Consider the Mode I case. Assume that the material exhibits a yield stress of 150 MPa. Make use of the Von Misses yield criteria to plot the contour of the zone near the crack tip were the material is expected to yield. Answer this question for
i) Plane stress
ii) Plane strain
Compare both results in the same plot. Again, it is recommended to use Matlab (file guide_contour2D.m may provide some guidelines). The Von Misses stress criteria in local coordinates reads:
σy = (1/√2)√((σx-σy)2 + (σy-σz)2 + (σz-σx)2 + 6(τxy2+τyz2+τzx2))
Assume that the Poisson ratio, ν, is 0.3
Question 2 -
A metallic plate under an uniaxial remote load, has an inclined crack, which is small compared with the dimensions of the plate.
Plot the critical load vs. the inclination angle (β).
Geometry of the plate:
W = 400 mm
B = 13 mm
2a = 30 mm
Material properties:
σys = 320 MPa
KIC = 22 MPa·m½
Plot inclination angle (β) from 0 to 90 every 5 degree.
Need it as per the guidelines
Attachment:- Assignment Detail.rar
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: Plot the singular stress components, σxx, σyy and τxy for a cracked body under Mode I, Mode II and Mode III loading with a stress intensity factor Ki = 10 MPa·m1/2 (i = I, II and III). Plot the stresses near the crack tip (r
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