Finite Element Analysis Using Uniform B-spline Approximation and Implicit Boundary Method

Download or read book Finite Element Analysis Using Uniform B-spline Approximation and Implicit Boundary Method written by Ravi Kumar Burla and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical examples are presented to demonstrate the performance of B-spline elements. The results are compared with analytical solutions as well as traditional finite element solutions to demonstrate the ability of B-spline elements to represent continuous stress and strain through out analysis domain. Convergence studies show that B-spline elements can provide accurate solutions for many engineering problems with fewer numbers of elements and nodes as compared to traditional FEM. Solution structure for treatment of material boundary is validated by performing a convergence analysis on a problem involving circular inclusion in a square matrix and by determining effective properties of fiber reinforced composite. Solution structure for local grid refinement is validated by analyzing classical stress concentration problems.