Consider the plane stress inhomogeneous case with only variation in elastic modulus given by E = E(y)
Question:
Consider the plane stress inhomogeneous case with only variation in elastic modulus given by E = E(y) = 1/ (Ay + B). Further assume that the Airy function depends only on y, ∅ = ∅(y). Show that governing relation (14.1.6) reduces to the ordinary differential equation:
Equation 14.1.6
Transcribed Image Text:
d b (Ay+B)- +2A- dy oldy = C/(y + B/A), thus giving the stress forms 0x d dy3 = Solve this relation to find that db C dy y+B/A where C and C are arbitrary constants of integration. 0 + C, ay = Txy = 0
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0 106 v0 For plane stress 1416 ay Edy E x For the case with E Ey1Ay B v constant ...View the full answer
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Related Book For
Elasticity Theory Applications And Numerics
ISBN: 9780128159873
4th Edition
Authors: Martin H. Sadd Ph.D.
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