Consider the gradient elasticity problem under a one-dimensional deformation field of the form u = u(x), v
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Consider the gradient elasticity problem under a one-dimensional deformation field of the form u = u(x), v = w = 0. Using constitutive form (15.7.3), determine the stress components. Next show that equilibrium equations reduce to dσx/
dx = 0, and this will lead to the equation:
Equation 15.7.3
Transcribed Image Text:
1 du c dx du dx4 Finally show that the solution for the displacement is given by h(c). e) + C4 cosh( u=c+c2x+c3 sinh = 0 X (JC)
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One dimensional displacement field u ux vw0 du Only one nonzero strain component e dx ...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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