Consider a cylindrical test specimen
Consider a cylindrical test specimen under a confining pressure of 3,000 psi and an axial stress of 3,000 psi with compression positive, so that in cylindrical coordinates σzz = 3,000 σrr = 3,000 σθθ = 3,000 τrz = 0.0 τzθ = 0.0 τθr = 0.0 Find: 1 εrr , εzz , εθθ , γrz , γzθ , γθr ; 2 The axial stress σzz required to maintain a zero axial strain; 3 The strain energy and strain energy density, if the test specimen is an NX core with a height to diameter ratio of two. Note: E = 2.4 × 106 psi, ν = 0.20, and the sample is isotropic.
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