Using the results of Exercise 4.5, show that = E/ [2(1 + v)] and =
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Using the results of Exercise 4.5, show that μ = E/ [2(1 + v)] and λ = Ev/ [(1 + v) (1 – 2v)].
Data from exercise 4.5
Following the steps outlined in the text, invert the form of Hooke’s law given by (4.2.7) and develop form (4.2.10). Explicitly show that E = μ(3λ + 2μ)/ (λ + μ) and v = λ/ [2(λ + μ)].
Equation 4.2.7
Equation 4.2.10
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dij ;; = ; + 2;; 2Meij
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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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