Skip to Main Content
Computational Continuum Mechanics, 3rd Edition
book

Computational Continuum Mechanics, 3rd Edition

by Ahmed A. Shabana
February 2018
Intermediate to advanced content levelIntermediate to advanced
368 pages
11h 34m
English
Wiley
Content preview from Computational Continuum Mechanics, 3rd Edition

CHAPTER 7COMPUTATIONAL GEOMETRY AND FINITE ELEMENT ANALYSIS

Computational geometry methods such as Bezier, B-spline, and Non-Uniform Rational B-Splines (NURBS) are widely used in the design of engineering and physics systems (Dierckx, 1993; Farin, 1999; Piegl and Tiller, 1997; Rogers, 2001). At the design stage, the geometry of the systems is defined using computer-aided design (CAD) software. The CAD models then are converted to a finite element (FE) mesh to perform the analysis to determine deformations, stresses, and forces as the result of the applied loads. CAD systems use computational geometry methods that accurately define complex shapes and allow for efficient shape manipulation. These methods have many desirable features and share many of the properties required for the development of accurate analysis methods. Nonetheless, computational geometry methods are used primarily for the system geometric construction.

Because of the limitations of existing FE formulations and the fact that the geometric (i.e., kinematic) descriptions used in them are not equivalent to the geometric description used in CAD systems, there is a recent trend to use computational geometry methods as analysis tools. Although both FE and computational geometry methods are based on polynomial representations, many of the existing FE formulations distort the geometry because of the nature of the nodal coordinates selected. As a result, the geometry of the FE mesh used in the analysis can be different ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Computational Materials Engineering

Computational Materials Engineering

Koenraad Frans Janssens, Dierk Raabe, Ernest Kozeschnik, Mark A Miodownik, Britta Nestler
Meshing, Geometric Modeling and Numerical Simulation 1

Meshing, Geometric Modeling and Numerical Simulation 1

Houman Borouchaki, Paul Louis George
Meshing, Geometric Modeling and Numerical Simulation 3

Meshing, Geometric Modeling and Numerical Simulation 3

Paul Louis George, Frédéric Alauzet, Adrien Loseille, Loïc Maréchal

Publisher Resources

ISBN: 9781119293217Purchase book