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RISA posterior error estimation in the isogeometrical analysis method
A new approach for error estimation and stress recovery in the isogeometrical analysis method is
presented. In this approach, by making use of the superconvergent points, each of the components of the improvedstress tensor is considered...
Isogeometric shape optimization of three dimensional problems
Shape optimization of 3-D structures is a challenging task. The newly developed isogeometrical analysis is a more suitable approach, in comparison with other numerical methods, to address the problem. Apart from the ability of defining...
Isogeometrical analysis of functionally graded materials in plane elasticity problems
developed isogeometric analysis numerical method is concisely explained and the functionally graded materials are briefly introduced. It is shown that the difficulties encountered in theFinite Element analysis of the FGMs are to a large degree alleviated...
Isogeometric topology optimization of structures by using MMA
The Isogeometric Analysis (IA) method is applied for structural topology optimization instead of the finite element method. For this purpose, the material density is considered as a continuous function throughout the design domain...
An isogeometrical approach to structural topology optimization by optimality criteria
The Isogeometric Analysis (IA) method is ap-plied for structural topology optimization instead of finite
elements. For this purpose, a control point based Solid Isotropic Material with Penalization (SIMP) method is employed and the material...
Isogeometric analysis of composite beams with arbitrary cross-section using dimensional reduction method
A novel isogeometric-based cross-sectional analysis of composite beams with arbitrary cross-section geometry and a one-dimensional composite beam model is presented via the concept of dimensional reduction method. In ...
Elastic-plastic analysis of pressure vessels and rotating disks made of functionally graded materials using the isogeometric approach
An NURBS-based isogeometric analysis for elastic-plastic stress in a cylindrical pressure
vessel is presented. The vessel is made of a ceramic/metal functionally graded material, i.e.
a particle-reinforced composite. It is assumed...
isogeometric solution of second order diffrential equations
In this research, based on the concept of isogeometric analysis, an algorithm is developed for solving second order ordinary differential equations. In isogeometric analysis method, solution of differential equations are considered as imaginary...
Isogeometrical solution of Laplace equation
A solution for Laplace partial differential equation by using Spline basis functions is presented. The formulation is derived and its differences with the finite element method are explained. The ...
Application of isogeometric analysis in structural shape optimization
In this paper, the isogeometric analysis method is utilized in the three-dimensional shape
optimization of structures, instead of finite elements.The main obstacles in shape optimization problems
are inherent in the currently practiced...