You compress a cylindrical biological sample with an engineering stress of -1 MPa. The sample is made of an isotropic elastic material with Young's modulus of E = 10 MPa and Poisson's ratio v = 0.3. (a) Calculate the engineering strains in the direction where the stress is applied and the transverse direction. (b) How much elastic strain energy is present in the deformed sample if it has a volume of 10 cm3? (c) The material has a hysteresis of 0.1. How much energy will you be able to recover when the sample is relaxed? (d) Calculate the true stress and true strain in the compressed sample.
You compress a cylindrical biological sample with an engineering stress of -1 MPa. The sample is made of an isotropic elastic material with Young's modulus of E = 10 MPa and Poisson's ratio v = 0.3. (a) Calculate the engineering strains in the direction where the stress is applied and the transverse direction. (b) How much elastic strain energy is present in the deformed sample if it has a volume of 10 cm3? (c) The material has a hysteresis of 0.1. How much energy will you be able to recover when the sample is relaxed? (d) Calculate the true stress and true strain in the compressed sample.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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You compress a cylindrical biological sample with an engineering stress of -1 MPa. The sample is made of an isotropic elastic material with Young's modulus of E = 10 MPa and Poisson's ratio v = 0.3.
(a) Calculate the engineering strains in the direction where the stress is applied and the transverse direction.
(b) How much elastic strain energy is present in the deformed sample if it has a volume of 10 cm3?
(c) The material has a hysteresis of 0.1. How much energy will you be able to recover when the sample is relaxed?
(d) Calculate the true stress and true strain in the compressed sample.
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