Training Course on Finite Element Method

To be held on 13th-16th May 2009 at Vits Hotel Mumbai, Andheri Kurla Road, International Airport Zone, Andheri (E), Mumbai 59
May 5, 2009 - PRLog -- Training Course on Finite Element Method
To be held on 13th-16th May 2009 at  Vits Hotel Mumbai, Andheri Kurla Road, International Airport Zone, Andheri (E), Mumbai 59

A short course on (with applications to solid and structural mechanics) The Finite Element Method

This course is intended to provide engineers/scientists working in aerospace, automotive, civil, and mechanical engineering industries as well as numerical analysts and materials scientists with the theory of the finite element method and use of commercial software in the solution of problems from solid and structural mechanics. As special cases, heat transfer and fluid flow problems will be discussed. The present course is designed to bridge the gap between the theoretical finite element knowledge and its industrial applications by providing sufficient insights into the relationship between the physical data (e.g., loads, boundary conditions, constitutive behavior, etc) and the finite element model. The course will also enable participants to be able to write their own finite element software. Participants are assumed to have knowledge of the basic principles of solid mechanics, heat transfer, and fluid mechanics. Some exposure to theory and/or applications of the finite element method is an advantage but not essential.

The course is aimed at engineers/scientists who are involved with modeling of structures, equipment and piping in commercial environment and who intend using commercially available finite element packages to analyze structures in the aeronautical, automobile, mechanical, civil and other engineering industries. The course will also enable participants to be able to write their own FEM software. Participants are assumed to have knowledge of the basic principles of structural mechanics and heat transfer. Some knowledge of the finite element method is an advantage, but not essential.

Persons who have attended the course and followed the material should benefit in strengthening their background in the following areas:
A strong understanding of the formulative steps involved in the finite element model development of the equations
of solid and structural mechanics and certain heat transfer and fluid flow problems.
Generation of finite element data (e.g., selection of elements and mesh, computation of nodal forces), imposition of
boundary conditions, post-computation of stresses and strains, etc.), exploitation of problem symmetries, and
interpretation and evaluation of the results.

Dr. Reddy is a Distinguished Professor and inaugural holder of the Oscar S. Wyatt Endowed Chair in Mechanical Engineering at Texas A&M University, College Station, Texas. Dr. Reddy is the author of over 375 journal papers and 16 text books on theoretical formulations and finite-element analysis of problems
in solid and structural mechanics (plates and shells), composite materials, computational fluid dynamics, numerical heat transfer, and applied mathematics. As a result of his extensive publications of archival journal papers and books on a wide range of topics in applied sciences and engineering, Dr. Reddy is one
of the selective few researchers in engineering around world who are recognized by ISI Highly Cited Researchers with over
10,000 citations and H-index of over 40. Dr. Reddy is the recipient of numerous awards, including the 1997 Archie Higdon Distinguished Educator Award from
American Society of Engineering Education, the 1998 Nathan M. Newmark Medal from the American Society of Civil Engineers, the 2000 Excellence in the Field of Composites and 2004 Distinguished Research Award from the American Society for Composites the 2003 Computational Solid Mechanics award from USACM, and 2007 Distinguished Achievement in Teaching Award, Association of Former Students (AFS), Texas A&M University. Most recently, Dr. Reddy
received honorary degree (Honoris Causa) from the Technical University of Lisbon, Portugal. He has delivered over 70 plenary, keynote, or general lectures at national and international conferences. Dr. Reddy advised to date 20 postdoctoral fellows, 50 Ph.D. students and 40 M.S. students

A copy of the overheads used in the presentation of the course will be provided as a part of the course material. The introductory finite element book by JN Reddy, An Introduction to the Finite Element Method (3rd ed., McGraw-Hill, New York, 2006) is now available and the participants may purchase the book from local vendors.

Background: Introduction to numerical methods
Overview - basic features of the FEM
Comparison with alternative solution methodologies
The basic concepts in FEM - one-dimensional problems
Strong and weak forms
Essential vs. natural boundary conditions
Weighted-integral statements
Methods of approximations (Ritz & Galerkin methods)
Accuracy - error measures
Finite element approximation functions (linear, quadratic, and
cubic elements)
Assembly of element equations
llustrative examples and discussion of results in light of
physical response
Extension of the concepts to higher-order boundary value problems (BVP)

Euler-Bernoulli beam finite elements
Timoshenko beam finite elements
Shear locking and reduced integration
Alternative finite element models of beams
Generalization of the basic concepts to two dimensions
Membrane and heat transfer - like problems in 2D
Elements types (triangular and quadrilateral elements)
Subparametric, isoparametric, and superparametric
Eigenvalue and Time-Depenedent problems
Free vibration of elastic systems (natural frequencies,
modal response, etc)
Buckling of beam-columns
Transient Analysis of parabolic and hyperbolic equations
Numerical stability and accuracy
Explicit and Implicit formulations and mass lumping
Elasticity Problems
Governing equations of plane elasticity problems
Elements types (triangular and quadrilateral elements) Examples
3-D Elasticity problems
Types of 3-D Finite elements (interpolation functions)
Plate bending problems
Classical plate bending elements
Shear deformation plate elements Examples
Introduction to non-linear problems
Geometric and material non-linearity
Solution algorithms for non-linearity
Time integration procedures
Explicit dynamic integration
Continuum shell finite elements
Continuum equations
Measures of stress and strain
Total and updated Lagrangian descriptions
Degenerated thick shell element
Finite element models of viscous flow problems

(only if there is interest among the participants)
Governing equations (Navier-Stokes Equations)
Mixed finite element model (2D)
Penalty finite element model (2D)
Numerical examples
Coupled fluid flow and heat transfer formulations

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