this paper deals with local buckling analysis of rectangular functionally graded material plates using finite strip method and based on classical plate theory. the modulus of elasticity of the plate is assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. the principle of minimum total potential energy is employed to obtain stiffness and sta...

This paper extends the notion of ditopology to the case where openness and closedness are given in terms of {em a priori} unrelated Drading functions. The resulting notion of graded ditopology is considered both in the setting of lattices and in that textures, the relation between the two approaches being discussed in detail. Interrelations between graded ditopologies and ditopologies on textur...

We introduce the graded bialgebra deformations, which explains Andruskiewitsch-Schneider’s liftings method. We also relate this graded bialgebra deformation with the corresponding graded bialgebra cohomology groups, which is the graded version of the one due to Gerstenhaber-Schack.