Using the basic field equations for spherical coordinates given in Appendix A, formulate the elasticity problem for
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Using the basic field equations for spherical coordinates given in Appendix A, formulate the elasticity problem for the spherically symmetric case, where uR = u(R), u∅ = uθ = 0. In particular, show that the governing equilibrium equation with zero body forces becomes:
Data from appendix a
Transcribed Image Text:
2 du 2 du + dR R dR R2 Next solve this equation and show that the general solution can be expressed as C u=CR+ OR = K - R2' 0=08=K+ where C, C2, K, and K are arbitrary constants. 2K2 R3, u=0 K2 R
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For the spherically symmetric case U uRu U 0 and relation A12 reduces to du 2 du 2 211 R dR2 ...View the full answer
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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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