The problem of the out of plane buckling of polar orthotropic armuli under uniform internal or external pressure loading has been investigated with the assumption of axisymmetry by numerous researchers. In this paper, the buckling of polar and rectilinearly orthotropic annuli subjected to internal or external pressure loading is examined without restriction to axisymmetric buckling modes. The b...

This paper concerns a generalization of Moulton planes. We consider these semi-classical projective planes over half-ordered fields and completely determine their Lenz-Barlotti classes in the case of finite planes and of ordered planes. We also obtain a characterization of the Desarguesian planes among the semi-classical planes in terms of linear transitivity. These results are applied to (topo...

This brief note describes an asymptotic technique for accurate computation of the Rayleigh wave speed both in compressible isotropic and incompressible orthotropic half-spaces. As opposed to recent publications by Malischewsky and Ogden & Vinh, the Cardan’s formula for solving cubic equations is not used. A variant of Graeffe’s method for finding the moduli of zeros of polynomials is formulated...

In this paper, we prove a trace formula for finite upper half planes Hq. A brief outline is as follows: Fix a subgroup Γ ⊂ GL(2, Fq). The adjacency operators Aa act on functions in L(Γ\Hq); thus, we may consider Aa = Aa|L2(Γ\Hq). We prove a trace formula which is an equality between a weighted sum of the traces of the operators Aa and a sum over the conjugacy classes of Γ. The trace formula all...