Elasticity for Geotechnicians by Paolo Podio-Guidugli & Antonino Favata

Author:Paolo Podio-Guidugli & Antonino Favata
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

where

hence,

We see that the strain field consists of a radial contraction

(4.20)

accompanied by an additional deformation:

(4.21)

that turns out to be a circumferential dilatation if the Poisson’s modulus is positive.7 Both radial contraction and circumferential dilatation decay with distance from the point where the load is applied; as is obvious in view of the problem’s symmetries, there is no change in angle between radial and circumferential fibers:

Finally, we observe that the area change in the plane perpendicular to is:

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