Problem 6 (a) What is the "Principle of Superposition", under what conditions is it applicable, and why is it useful? (b

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Problem 6 A What Is The Principle Of Superposition Under What Conditions Is It Applicable And Why Is It Useful B 1 (78.72 KiB) Viewed 15 times

Problem 6 (a) What is the "Principle of Superposition", under what conditions is it applicable, and why is it useful? (b) Is the solution to a linearly elastic Boundary Value Problem unique? Prove your answer. (c) A three dimensional body has a spherical outer boundary and a complex (non-spherical) inner boundary and is made up of a linearly elastic homogeneous and isotropic solid. Suppose the stress solution is known when the body is subjected to uniform external pressure P. (Call this known solution o.) Obtain the stress solution when the region is subjected to internal pressure P only. Discuss how the solution to this problem is affected if: (i) the material were anisotropic? (ii) the material were inhomogeneous? (iii) the material were nonlinearly elastic?