the effects of physical, thermal and mechanical parameters on curing microthermal residual stresses are studied, based on the energy method, to present a theoretical solution for prediction of residual stress felds. a fnite element analysis is developed to compare the theoretical and numerical results together. there is found to be a good agreement between the results of the two methods. howeve...

In this paper, a modification on the fixed grid finite element method is presented and used in the solution of 2D linear elastic problems. This method uses non-boundary-fitted meshes for the numerical solution of partial differential equations. Special techniques are required to apply boundary conditions on the intersection of domain boundaries and non-boundary-fitted elements. Hence, a new met...

A boundary integral method is introduced to study the dynamics of the morphological evolution of a three-dimensional, coherent precipitate in an infinite, elastic matrix. The precipitate evolves diffusionally in which the precipitate– matrix interface satisfies a generalized Gibbs–Thomson boundary condition, accounting for surface energy, elastic and interface kinetic energy. Elastically homoge...

We introduce a general method for transforming the equations of motion following from a Das-Jevicki-Sakita Hamiltonian, with boundary conditions, into a boundary value problem in one-dimensional quantum mechanics. For the particular case of a onedimensional chain of interacting N × N Hermitean matrices, the corresponding large N boundary value problem is mapped into a linear Fredholm equation w...

A class of generalized approximate inverse finite element matrix algorithmic methods for solving nonlinear parabolic and elliptic PDE’s, is presented. Fully parameterized singularly perturbed non-linear parabolic and elliptic PDE’s are considered and explicit preconditioned generalized conjugate gradient type schemes are presented for the efficient solution of the resulting nonlinear systems of...

Abstract. We construct a new adaptive algorithm for radial basis functions (RBFs) method applied to interpolation, boundary-value, and initialboundary-value problems with localized features. Nodes can be added and removed based on residuals evaluated at a finer point set. We also adapt the shape parameters of RBFs based on the node spacings to prevent the growth of the conditioning of the inter...

In this paper, a modification on the fixed grid finite element method is presented and used in the solution of 2D linear elastic problems. This method uses non-boundary-fitted meshes for the numerical solution of partial differential equations. Special techniques are required to apply boundary conditions on the intersection of domain boundaries and non-boundary-fitted elements. Hence, a new met...

OBJECTIVES There is now good evidence that central obesity carries more health risks compared with total obesity assessed by body mass index (BMI). It has therefore been suggested that waist circumference (WC), a proxy for central obesity, should be included with BMI in a 'matrix' to categorise health risk. We wanted to compare how the adult UK population is classified using such a 'matrix' wit...

this paper presents the bending analysis of annular plates by the indirect trefftz boundary approach. the formulation for thin and thick plates is based on the kirchhoff plate theory and the reissner plate theory. the governing equations are therefore a fourth-order boundary value problem and a sixth-order boundary value problem, respectively. the trefftz method employs the complete set of solu...

height is amongst the most delicate subjects of geodesy. thanks to the global navigation satellite systems (gnss) like gps or glonass, 3d point positioning of points, by geometrical positioning, since years ago has become a common practice. the height derived from these ways has a geometrical concept. in civil projects the physical concept of the height is more demanded. orthometric height, , i...