General information on aftermath, behavior and damage analysis of earth dams under severe earthquakes is given in the monograph. Different models of soil are analyzed and the possibility of the use of hereditary model of viscous-elasticity for the description of rheological and dissipative properties of soil is shown. Mathematical statement and the methods of solution of the problems for earth dams with account of linear and non-linear elastic, viscous-elastic, elastic-plastic and water saturation properties of soil are considered with account of finite strain under different static and...