Description
Interval Finite Element Method with MATLAB
Authors: Nayak Sukanta, Chakraverty Snehashish
Language: EnglishSubject for Interval Finite Element Method with MATLAB:
Keywords
Axial force vector; Beam element; Displacement vector; Eigenvalues; Finite element method; Functions; Fuzzy finite element; Fuzzy set theory; Global nodal displacement; Global nodal force; Hooke's law; Interval arithmetic; Interval finite element; Interval theory; Linear bar; Linear tetrahedral element; Load; Logical operators; MATLAB®; Matrix; Nodal displacements; Nodal force vector; Nodal forces; Nodes; Notion of intervals; Plane truss; Probability theory; Quadratic bar; Space frame; Space truss; Spring element; Stiffness matrix; Strain; Stress; Taylor series; Truncation error; Uncertainties; Vector
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Description
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Interval Finite Element Method with MATLAB provides a thorough introduction to an effective way of investigating problems involving uncertainty using computational modeling. The well-known and versatile Finite Element Method (FEM) is combined with the concept of interval uncertainties to develop the Interval Finite Element Method (IFEM). An interval or stochastic environment in parameters and variables is used in place of crisp ones to make the governing equations interval, thereby allowing modeling of the problem. The concept of interval uncertainties is systematically explained. Several examples are explored with IFEM using MATLAB on topics like spring mass, bar, truss and frame.
1. Interval Arithmetic2. Interval Finite Element Method3. Preliminaries of MATLAB4. One Dimensional5. MATLAB code for One Dimensional Interval Finite Element6. Two Dimensional Interval Finite Element7. MATLAB Code for Two Dimensional Interval Finite Element8. Three Dimensional9. MATLAB Code for Three Dimensional Interval Finite Element
MSc and
Researchers in civil,
mechanical, aerospace engineering and also in
areas such as mathematics, applied and industrial mathematics, physics etc.
along with uncertainties.
Dr. Snehashish Chakraverty has over thirty years of experience as a teacher and researcher. Currently, he is a Senior Professor in the Department of Mathematics (Applied Mathematics Group) at the National Institute of Technology Rourkela, Odisha, India. He has a Ph.D. from IIT Roorkee in Computer Science. Thereafter he did his post-doctoral research at Institute of Sound and Vibration Research (ISVR), University of Southampton, U.K. and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill Universities, Canada, and visiting professor at the University of Johannesburg, South Africa. He has authored/co-authored 14 books, published 315 research papers in journals and conferences, and has four more books in development. Dr. Chakraverty is on the Editorial Boards of various International Journals, Book Series and Conferences. Dr. Chakraverty is the Chief Editor of the International Journal of Fuzzy Computation and Modelling (IJFCM), Associate Editor of Computational Methods in Structural Engineering, Frontiers in Built Environment, and is the Guest Editor for several other journals. He was the President of the Section of Mathematical sciences (including Statistics) of the Indian Science Congress. His
- Provides a systematic approach to understanding the interval uncertainties caused by vague or imprecise data
- Describes the interval finite element method in detail
- Gives step-by-step instructions for how to use MATLAB code for IFEM
- Provides a range of examples of IFEM in use, with accompanying MATLAB codes