For rigid-body motion, the strains will vanish. Under these conditions, integrate the straindisplacement relations (7.6.1) to show

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For rigid-body motion, the strains will vanish. Under these conditions, integrate the strain–displacement relations (7.6.1) to show that the most general form of a rigid-body motion displacement field in polar coordinates is given by:

Ura sin 0+ b cos 0 = ug* = a cos 0-b sin 0 + cr

Equation 7.6 .1

where a, b, c are constants. Also show that this result is consistent with the Cartesian form given by relation (2.2.9).

Equation 2.2 .9

u* = Uo-wy v* = Vo+wx

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Elasticity Theory Applications And Numerics

ISBN: 9780128159873

4th Edition

Authors: Martin H. Sadd Ph.D.

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Question Posted: Jan 15, 2024 05:00 AM

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For rigid-body motion, the strains will vanish. Under these conditions, integrate the straindisplacement relations (7.6.1) to show

Question:

Ur a sin 0+ b cos 0 = ug* = a cos 0-b sin 0 + cr

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Equation 229 la 200 ar 0u f0 ere du 20 0 1 1 du du...View the full answer

Elasticity Theory Applications And Numerics

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