a a Consider a spherical cavity with radius a inside a homogeneous isotropic body. When a uniform step in pressure, SpH(t), is applied at the surface of the cavity, spherically symmetric waves will be generated, which have displacement only in the radial direction. After the waves have passed, displacement everywhere tends to its final static value, which characterizes the final outward expansion due to the applied pressure in the cavity. 7 D9 = 1899 " +2uena (2.50) ell = 1 ! uz ah u3 an! + + hlach hth2 ac2 h3h1 ac3 (2.46) Show from equations (2.50) and (2.46) that for this problem the radial stress is given by Trr = (1 +2u) , 21 + -4, ar a a Consider a spherical cavity with radius a inside a homogeneous isotropic body. When a uniform step in pressure, SpH(t), is applied at the surface of the cavity, spherically symmetric waves will be generated, which have displacement only in the radial direction. After the waves have passed, displacement everywhere tends to its final static value, which characterizes the final outward expansion due to the applied pressure in the cavity. 7 D9 = 1899 " +2uena (2.50) ell = 1 ! uz ah u3 an! + + hlach hth2 ac2 h3h1 ac3 (2.46) Show from equations (2.50) and (2.46) that for this problem the radial stress is given by Trr = (1 +2u) , 21 + -4, ar