Abstract:
It is shown that development of cavitation in solid–plastic, liquid–plastic, and liquid media can be modeled using a rheologically equivalent, cavitating viscoelastoplastic body containing microcavities in the initial state. An energy inequality is derived that defines the loading conditions for a body with microcavities under which the body enters a cavitating state, i.e., the concentration of microcavities increases by more than an order of magnitude. A generalized rheological equation of state is formulated; analytical dependences of the modulus of volume elasticity, volumetric (second) viscosity, and the relaxation time of tensile stresses on the volume concentration of cavitational hollows in the model viscoelastoplastic body are derived.