Exercise-2: (a) Write down the explicit matrix form of Hooke’s law in a homogeneous transversely isotropic material (isotropy in 2-3 plane) (b) For a transversely isotropic material described in (a), verify that (c) We define the longitudinal Young’s modulus of a transversely isotropic material as E11= ?11/?11 under the axial tensile loading ?11 only. Verify that Consider the constitutive relation from linear thermoelasticity x y where s is the stress tensor, c is the elasticity tensor, e is the infinitesimal strain tensor, ? is the thermal expansion tensor, and ?T is the temperature change. For the “general case” of an anisotropic solid, determine the number of independent constants that must be measured to completely characterize ?. Consider the case of a solid composite cylinder comprised of a large number of concentric isotropic cylindrical layers as shown in the figure. If the layers are thin and global material properties thus considered to vary smoothly, determine the number of independent constants which are needed to characterize ? for this case.
Already registered? Login
Not Account? Sign up
Enter your email address to reset your password
Back to Login? Click here