The subject is to establish solution formulae for elliptic (and parabolic) semi-linear boundary problems. The results should be new in at least two respects: the desired formulae result from a parametrix construction for semilinear problems, using only parametrices from the linear theory and the mild assumption that the non-linearity may be decomposed into a suitable solutiondependent linear op...

The stress field near the tip of a crack in a plate subjected to membrane and bending loads and undergoing large deflections, is investigated by performing an asymptotic analysis in the context of von Karman plate theory. It is demonstrated that the character of the near tip fields is identical to those of the linear plate theory. However, the determination of the crack tip stress intensity fac...

A review on the recent development in the non-linear flutter and thermal buckling of an FGM panel under the combined effect of elevated temperature conditions and aerodynamic loading is investigated using a finite element model based on the thin plate theory and von Karman straindisplacement relations to account for moderately large deflection. It is found that the temperature increase has an a...

We report on a refined version of our spin-glass type approach to the lowtemperature physics of structural glasses. Its key idea is based on a Born von Karman expansion of the interaction potential about a set of reference positions in which glassy aspects are modeled by taking the harmonic contribution within this expansion to be random. Within the present refined version the expansion at the ...

Abstract: The latest release of Abaqus version 6.10 includes Abaqus/CFD. The inclusion of this software makes it possible for users to perform a fluid analysis in a more user-friendly manner. Independent single software solely for CFD is currently available from many developers, and many attempts have been made to link software of CFD to structural analysis system using some specific procedures...

The morphology of telephone-cord buckles of elastic thin films can be used to evaluate the initial residual stress and interface toughness of the filmsubstrate system. The maximum out-of-plane displacement δ, the wavelength λ and amplitude A of the wave buckles can be measured in physical experiments. Through δ, λ, and A, the buckle morphology is obtained by an annular sector model established ...

We analyze one-dimensional discrete and quasi-continuous linear chains of N >> 1 equidistant and identical mass points with periodic boundary conditions and generalized nonlocal interparticle interactions in the harmonic approximation. We introduce elastic potentials which define by Hamilton’s principle discrete “Laplacian operators” (“Laplacian matrices”) which are operator functions (N ×N -ma...

The application of the Galerkin method, using global trial functions which satisfy the boundary conditions, to nonlinear partial differential equations such as those in the von Karman nonlinear plate theory, is well-known. Such an approach using trial function expansions involving multiple basis functions, leads to a highly coupled system of nonlinear algebraic equations (NAEs). The derivation ...