Abstract

VAZQUEZ-RODRIGUEZ, OSCAR  and  LOPEZ-AGUILA, ALEJANDRA. ANALYTICAL MODEL FOR THE FLEXION OF THE LITHOSPHERE: AN ADVANTAGE PERTURBATIVE FOR THE FLEXURAL RIGIDITY. Dyna rev.fac.nac.minas [online]. 2013, vol.80, n.177, pp.142-151. ISSN 0012-7353.

Starting from the equation of second kind of Fredholm, which models the behavior of the elastic deformation of the lithosphere under the action of vertical loads, we present an analytical expression for the deflection of the lithospheric plate in Fourier space when the constant flexural rigidity is perturbed by a cosine profile or, generally, when the profile is given by a Fourier series. The solution obtained is analogous to a recurrence relation and its explicit solution to first order is obtained via an iterative or perturbative approach. Finally, using our results we observed significant changes in the magnitude spectrum when there is variation in flexural rigidity under ideal loads.

Keywords : Flexural Rigidity; Flexion of the Litosphere; Pertubation; Fredholm Equation.

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