Mathematical modeling of thermomechanical behavior of inhomogeneous anisotropic shells (Q2759458)

Physical and mechanical state of the shell is described by mathematical model, consisting of the system of differential equations and boundary conditions, obtained on the basis of hypotheses of linear distribution of displacements, temperature and chemical potential along the shell thickness. This system includes equations of motion, balance equations, equations of heat conduction and diffusion, constitutive (stress resultant---strain) equations and geometrical relationships in a general form. Additionally, conditions of heat and mass exchange at the face surfaces, boundary and initial conditions are formulated.