In this paper, the Elzaki transform method is used for solving two-dimensional (2D) elasticity problems in plane polar coordinates. Airy stress function was used to express the stress compatibility equation as a biharmonic equation. Elzaki transform was applied with respect to the radial coordinate to a modified form of the stress compatibility equation, and the biharmonic equation simplified t...

In the present contribution anisotropic structure of two-dimensional linear Cosserat elasticity is investigated. The symmetry classes this model are derived and detailed in a synthetic way. Particular attention paid to specific features Elasticity which sensitivity non-centrosymmetry as well chirality. These aspects important for application continuum theory mechanical modelling lattices metama...

Article history: Received 11 May 2014 Received in revised form 21 October 2014 Available online 24 December 2014

In this article, we review a dual-primal FETI (FETI-DP) method with mortar methods. The mortar matching condition is used as the continuity constraints for the FETI-DP formulation. A Neumann-Dirichlet preconditioner is investigated and it is shown that the condition number of the preconditioned FETI-DP operator for the two-dimensional elliptic problem is bounded by C maxi=1,...,N{(1 + log (Hi/h...

We consider the plane elasticity problem of two asymmetrical edge cracks emanating from an elliptical hole in two-dimensional decagonal quasicrystals (QCs) under remotely uniform tensile stress. A complex variation method QCs is developed to solve containing defects. The analytical solutions for stress field and intensity factors near crack tip are expressed by using a conformal mapping techniq...