|
28 & 29 June, 2015 – Munich, Germany
NONLINEAR FINITE ELEMENT ANALYSIS
with applications to solid and structural mechanics
INSTRUCTOR:
Professor J. N. Reddy
College Station,
Texas USA
Course Brochure (PDF)
BENEFITS OF ATTENDING THE COURSE:
Persons who have attended the course and followed the material should benefit in strengthening their background in the following areas:
An understanding of the formulative steps involved in nonlinear finite element model development of the equations of solid mechanics.
Generation of finite element data (e.g., selection of elements and mesh, computation of nodal forces, imposition of boundary conditions, etc.) and proper imposition of boundary conditions, exploitation of problem symmetries, and interpretation and evaluation of the results.
The ability to write a finite element computer module for a physical problem (e.g., user-specified subroutine for a commercial program).
The ability to read and evaluate technical proposals/reports/papers on the finite element analysis of structural problems in engineering.
The knowledge to teach the finite element analysis procedures to others.
COURSE CONTENTS:
(actual coverage and sequence may differ depending on the participants background)
Background: Introduction to Numerical Methods
• Overview – basic ingredients of the FEM
• Comparison with alternative numerical methods
Basic Concepts of FEM – One-Dimensional Problems
• Strong and weak forms (variational and virtual work statements)
• Primary and secondary variables of the formulation
• Essential vs. natural boundary conditions
• Methods of approximations (weak-form Galerkin method)
• Finite element approximation functions (linear, quadratic, and cubic elements)
• Assembly of element equations
• Illustrative examples and discussion of results in light of physical response
Introduction to Non-Linear Problems
• Geometric and material non-linearity
• Nonlinear formulation of a 2-D Model problem
• Solution algorithms for the solution of non-linear algebraic equations
• Derivation of tangent stiffness coefficients
• Convergence criteria
Nonlinear Bending of Beams
• Euler-Bernoulli beam theory
• Nonlinear finite element formulation of Euler-Bernoulli beam theory
• Tangent stiffness calculations
• Membrane locking
• Timsohenko beam theory and its finite element model
• Shear locking
• Numerical examples
Nonlinear Bending of Plates
• Nonlinear finite element formulation of the first-order shear deformation (Mindlin) plate theory
• Tangent matrix coefficients
• Shear and membrane locking
• Numerical examples
Continuum Formulations
• Continuum equations
• Measures of stress and strain
• Total and Updated Lagrangian descriptions
• Degenerated thick shell element
• Applications
Professor Reddy:
…………………
Dr. JN 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. He is the author of numerous journal papers and 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. Dr. Reddy’s research centers on theoretical formulations and numerical simulations of problems in solid and structural mechanics, composite materials, computational fluid dynamics, numerical heat transfer, geology and geophysics, and computational biology. Dr. Reddy’s research provides the cutting edge advances that enable others to adapt his accomplishments into sophisticated computer software used by design engineers world-wide. His novel theories and finite element models have been implemented into commercial finite element commercial softwares like ABAQUS, NISA and HyperForm. Such an eminent record of research has earned Dr. Reddy numerous national and international awards, including the 1998 Nathan M. Newmark Medal from the American Society of Civil Engineers; Award for Excellence in the Field of Composites and Distinguished Research Award from the American Society for Composites; and the 2003 Computational Solid Mechanics award from US Association for Computational Mechanics. He also won the AFS Award for Distinguished Achievement in Research, the Texas A&M Bush Excellence Award for Faculty in International Research, and Distinguished Research Award of the Sigma Xi. Dr. Reddy is one of the few researchers in engineering around the world (only one at TAMU) who is recognized by ISI Highly Cited Researchers with over 10,000 citations and H-index of over 50.
REGISTRATION:
Registration form (doc)
REGISTRATION FEE:
Regular registration: 880, € (*)
DSL / ACEX Participants: 480, € (*)
(*) until 15 March, 2015
After 15 March, 2015:
980, € (Regular registration)
480, € ( DSL/ACEX Participants)
Registration includes:
- 2 Full Days Course,
- Printed Course Materials, in Book Format
- Course Certificate,
- 2 Refreshments Daily,
- Lunch at Hotel Venue (Daily / 2 Days)
………………………………………
For more information, contact:
Dr. Meire Gomes
Meire.gomes@icc-conferences.com
|
