Using the results from Exercise 2.20, determine the two-dimensional strains e r , e , e
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Using the results from Exercise 2.20, determine the two-dimensional strains er, eθ, erθ for the following displacement fields:
a.
b.
c.
where A, B, and C are arbitrary constants.
Data from exercise 2.20
Consider the plane deformation of the differential element ABCD defined by polar coordinates r, θ as shown in the following figure. Using the geometric methods outlined in Section 2.2, investigate the changes in line lengths and angles associated with the deformation to a configuration A′B′C′D′, and develop the strain displacement relations:
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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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