5 Exercise 3 Given An Isotropic Linear Elastic Material Whose Mechanical Properties Are E 71gpa Young S Modulus G 1 (26.49 KiB) Viewed 34 times
5 Exercise 3 Given An Isotropic Linear Elastic Material Whose Mechanical Properties Are E 71gpa Young S Modulus G 2 (21.73 KiB) Viewed 34 times
5 Exercise 3. Given an isotropic linear elastic material whose mechanical properties are E = 71GPa (Young's modulus), G = 26.6G Pa (shear modulus), find the strain tensor components where the stress, in a Cartesian basis, is represented by: 20 4 0 -4 10 MPa 10 15 [10 marks Exercise 4. Consider an antiplane problem with an elliptical cylindrical hole with vertex a, co-vertex 6, and traction applied at infinity 0 5 Lir Figure 1: Antiplane problem
"(-5)+c 2 (a) What is the solution for the displacement component uz(x) for this problem in terms of the complex potential (2) given by it(a + b) () 24 where , Cos are material constants, and 2 = 1 + ix, is a complex number. (b) Derive an expression for u3(x) in terms of 1, and x. (c) Explain how we can use the solution to derive the solution of an antiplane problem with a symmetric crack (15 marks!
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