This study used particle swarm optimization (PSO) to determine the optimal values of effective design variables acting on the stress distribution around a quasi-triangular hole in an infinite orthotropic plate. These parameters were load angle, hole orientation, bluntness, fiber angle, and material properties, which were ascertained on the basis of an analytical method used by Lekhnitskii [3]. ...

a new approach for analyzing cracked problems in 2d orthotropic materials using the well-known element free galerkin method and orthotropic enrichment functions is proposed. the element free galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. in this study, element free galerkin is extrinsically enriched by the recently developed crack-tip orthot...

In this paper, analytical structure of Simplest fuzzy controllers are derived for Center of Sum and Height defuzzification methods, under Mamdani Minimum and Larsen Product reasoning, using asymmetrical/ symmetrical, trapezoidal/ triangular/singleton output membership function. The drawbacks, errors of existing analytical structures are discussed and revised accordingly. The analysis of derived...

the burgers’ equation is a simplified form of the navier-stokes equations that very well represents their non-linear features. in this paper, numerical methods of the adomian decomposition and the modified crank – nicholson, used for solving the one-dimensional burgers’ equation, have been compared. these numerical methods have also been compared with the analytical method. in contrast to...

In this paper, an R-analytical function and the sequence of its Taylor polynomials (which are Lyapunov functions different from those of Vanelli & Vidyasagar (1985, Automatica, 21(1):6 9–80)) is presented, in order to determine and approximate the domain of attraction of the exponentially asymptotically stable zero steady state of an autonomous, R-analytical system of differential equations. Th...

the importance of constructing the appropriate green function to solve a wide range of problems inelectromagnetics and partial differential equations is well-recognized by those dealing with classical electrodynamics and related fields. although the subject of obtaining the green function for certain geometries has been extensively studied and addressed in numerous sources, in this paper a syst...

more than half of all hydrocarbon reservoirs are naturally fractured reservoirs (nfrs), in which production forecasting is a complicated function of fluid flow in a fracture-matrix system. modelling of fluid flow in nfrs is challenging due to formation heterogeneity and anisotropy. stress sensitivity and depletion effect on already-complex reservoir permeability add to the sophistication. horiz...

This chapter highlights the importance of the travel time distribution of solutes in aquifers, in order to evaluate the evolution of solutes at pumping wells. This evaluation is important when the solute is a contaminant and when measures are introduced in the groundwater catchment area in order to reduce the solute concentration at a pumping well. When flow and solute transport in the aquifer ...

We derive an analytical formula for the generalization error of linear adaptive classifiers trained with weight decay. Analytical and experimental results are then presented to analyze the optimal value of regularization parameters as a function of the training set size.