Following the scheme used in Example 14.1, consider the same stress field case = Ty 2

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Following the scheme used in Example 14.1, consider the same stress field case ∅ = Ty2/2 but with modulus variation in the y-direction, E = E(y). First show that the required modulus variation is given by E = Eo / (1 + Ky). Next determine the resulting displacement field assuming as before zero displacements and rotation at the origin, to get:

U = T (1 + Ky)x, Eo T V=-V- --- (+(+)) y K Eo 2v

Data from example 14.1

Consider a two-dimensional, plane stress problem of a rectangular inhomogeneous sheet under uniform uniaxial

Next we wish to determine the displacement field associated with this stress distribution. This is

where we have selected zero rigid-body motion terms such that u(0, 0) = v(0, 0) = w(0, 0) = 0. Note the

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