New exact analytical solutions to problems on equilibrium state of hollow and combined thick-walled heavy transversally- isotropic spheres and orthotropic cylinders, which are fixed on the interior surfaces and are subject to the action of uniform and/or nonuniform internal or external lateral pressure, are obtained. As an example, the influence of geometry of concrete monolithic cylindrical and spherical mine working supports, the properties of reinforced concrete and the sedimentary rock mass surrounding minings on the distribution of stresses and displacements are analyzed. The estimation of an initial strength is carried out on the basis of a multicriteria approach taking into account various fracture mechanisms (i.e. damage from tension or compression in radial, hoop and axial directions, and from transversal and anti-plane shear) of anisotropic axial- and central-symmetric bodies.
|
