In order to model dislocations in elastic solids, multivalued displacement fields are necessary. As shown later in

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In order to model dislocations in elastic solids, multivalued displacement fields are necessary. As shown later in Chapter 15, for the particular case of a screw dislocation the displacements are given by:

b u = v= 0, w = tan 2 -19

where b is a constant called the Burgers vector. Show that the strains resulting from these displacements are given by:

ex = ly = C = exy = 0, exz || by 4 x + y2 eyz = b X 4 x + y

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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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In order to model dislocations in elastic solids, multivalued displacement fields are necessary. As shown later in

Question:

b u = v = 0,w = tan 2 -19

Step by Step Answer:

du ex Ex uv 0 wtan 2 3 A O 0 ro av dw av dy ba 2 az dy 4 dy 12 X 7 11 a d...View the full answer

Elasticity Theory Applications And Numerics

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