Thermal deformation, complex bending and stretching of lithospheric plate in tectonic force field

Abstract

Plate tectonics implies the rigidity of near-surface Earth rocks and their elastic behavior at geological scales of time. The plates are subjected to tectonic and thermogradient forces resulting in their bending, stretching and thermal deformation. The article considers the new setting of the problem of complex bending and stretching of the axisymmetric lithospheric plate of variable thickness caused by both force effects and uneven heating. The mathematically considered problem is reduced to a differential equation with variable coefficients, the analytical solution of which was first possible to obtain by the method of partial sampling.