ABSTRACT This paper presents the theoretical developments of two finite strip methods (i.e. semi-analytical and full-analytical) for the post-buckling analysis of isotropic plates. In the semi-analytical finite strip approach, all the displacements are postulated by the appropriate shape functions while in the development process of the full-analytical approach, the Von-Karman’s equilibrium equ...

—Using a quaternionic reformulation of the threedimensional Electrical Impedance Equation, and a generalization of the Bers generating sets, as well as the Beltrami equation, we introduce a new class of exact solutions for the case when the conductivity is represented by a separable-variables function depending upon three spacial variables. Finally, we discuss the possible contribution of these...

We investigate regularity properties of solutions Beltrami equation expressed in terms moduli continuity. In particular, we prove that a class Calderon–Zygmund operators, including Ahlfors–Beurling operator, preserves certain type modulus continuity compactly supported functions. also purely topological result which easily gives injectivity normal equation.

A quasisymmetric graph is a curve whose projection onto a line is a quasisymmetric map. We show that this class of curves is related to solutions of the reduced Beltrami equation and to a generalization of the Zygmund class Λ∗. This relation makes it possible to use the tools of harmonic analysis to construct nontrivial examples of quasisymmetric graphs and of quasiconformal maps.