3. In LEFM, all of the advantages of linearity can be used. One of the advantages...

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3. In LEFM, all of the advantages of linearity can be used. One of the advantages is that the superposition of solutions for different types of loadings (or boundary conditions) can be used to deduce the solution of a more complex loading. 1. a) Explain and justify why the stress intensity factor of a crack problem under a combined loading (say loading A and loading B) is equal to the sum of the stress intensity factors of each (i.e. "K" due to loading of A and B at the same time = "K" of loading A+ "K" of loading B. See Figure 1 for an example). b) Consider a Griffith crack in an infinite space under point loads applied to the opposite sides of the crack faces (see Figure 2). The stress intensity factor for 1 such a configuration is given by K, = P TICL a+b a-b Show how this formula can be used to deduce the stress intensity factor of a crack in an infinite space under an arbitrary load. Check for the case of uniform pressure. 3. In LEFM, all of the advantages of linearity can be used. One of the advantages is that the superposition of solutions for different types of loadings (or boundary conditions) can be used to deduce the solution of a more complex loading. 1. a) Explain and justify why the stress intensity factor of a crack problem under a combined loading (say loading A and loading B) is equal to the sum of the stress intensity factors of each (i.e. "K" due to loading of A and B at the same time = "K" of loading A+ "K" of loading B. See Figure 1 for an example). b) Consider a Griffith crack in an infinite space under point loads applied to the opposite sides of the crack faces (see Figure 2). The stress intensity factor for 1 such a configuration is given by K, = P TICL a+b a-b Show how this formula can be used to deduce the stress intensity factor of a crack in an infinite space under an arbitrary load. Check for the case of uniform pressure.