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Isogeometric Analysis (IGA): Basic and Advanced Applications

November 11 - November 15

Overview of the Course:

Isogeometric Analysis (IGA) is a recent idea introduced to bridge the gap between Computational Mechanics and CAD. The key feature of IGA is to extend the finite element method representing geometry by functions which are typically used by CAD systems, and then invoking the isoparametric concept to define field variables. Thus, the computational domain exactly reproduces the CAD description of the physical domain. Numerical testing in different situations has shown that IGA holds great promises, with a substantial increase in the accuracy per degree of freedom with respect to standard finite elements. Along with geometric efficiency and flexibility, IGA can help in cost-saving simplification of the typically expensive mesh generation and refinement processes required by standard FEA. Moreover, thanks to the high-regularity properties of its basis functions, IGA has shown better accuracy and enhanced robustness with respect to standard FEA in a number of applications ranging from solids and structures to fluids and fluid-structure interaction problems, opening also the door to geometrically flexible discretization of higher-order partial differential equations in primal form (e.g, Kirchhoff shells, Cahn-Hilliard phase-field modeling, etc.). Some of the emerging application areas of IGA include: dynamics, wave propagation and advanced biomechanics applications.

Course Contents:

Within this framework, this course aims at giving a practical, concise introduction to Isogeometric Analysis, covering some basic concepts of IGA and its implementation, to move to some advanced applications where the potential of IGA can be exploit to get far superior results with respect to standard FEA. Therefore, some basics of B-Splines and NURBS will be given first, and the main ingredients toward the implementation of simple isogeometric codes will be shown and discussed. Then, some advanced applications will be dealt with, including vibrations and dynamics, wave propagation, structural elements, laminated composites, phase-field modeling, immersed methods, biomechanics simulations, collocation methods. The main objective of the course is to give participants an idea on how to start with IGA, along with an overview of its potential.

Topics:

  •  Introduction to Isogeometric Analysis (IGA)
  •  Spline basics and IGA implementation aspects
  •  IGA advanced applications
  •  IGA collocation
  •  IGA implementation tutorials in Matlab
  •  Structural optimization through IGA
  • Biomechanical applications

About the Institute and Warangal:

National Institute of Technology, Warangal (NITW) formerly known as RECW is the first among seventeen RECs set up in 1959. Over the years, the Institute has established itself as a premier Institution in imparting technical education of a very high standard, leading to B.Tech, M.Tech. and Ph.D. programmes in Science and Engineering streams. Warangal is known for its rich historical and cultural heritage. It is situated at a distance of 140 km from Hyderabad. Warangal is well connected by rail and road. National Institute of Technology, Warangal campus is 2 km away from Kazipet railway station and 12 km away from Warangal railway station.

Venue

Department of Mechanical Engineering ,National Institute of Technology, Warangal
NationaNIT, Hanamkonda, Telangana 506004
Warangal, Telangana India

Organizer

Dr. Hari Kumar Voruganti Associate Professor ,Department of Mechanical Engineering