Nonlinear Finite Element Methods

Nonlinear Finite Element Methods


  • Course code

    ME 682

  • L-T-P-C

    3-0-0-6

  • Syllabus

    Download

  • Eligible Programmes

    Masters



  • Nonlinear Finite Element Methods

    Fundamentals of finite deformation mechanics-kinematics--Stress measures--Balance laws, Objectivity principle--Newton-Raphson procedure--Finite element formulation for plasticity and nonlinear elasticity--Stress update algorithms for plasticity--Finite element procedures for dynamic analysis-- Explicit and implicit time integration. Finite element modelling of contact problems - Slide-line methods and penalty approach--Adaptive finite element analysis: Automatic mesh generation, Error estimation, Choice of new mesh, Transfer of state variables.

    Textbooks/References:

    [1] K.J. Bathe, Finite Element Procedures, Second Edition, Prentice Hall, 1996.

    [2] T. Belythschko, W.K. Liu and B. Moran, Nonlinear Finite Elements for Continua and Structures, Wiley, 2000.

    [3] P.K. Kythe, D.Wei, An Introduction to Linear and Nonlinear Finite Element Analysis: a Computational Approach, Birkhauser, 2004.

    [4] P. Wriggers, Nonlinear Finite Element Methods, Springer, 2008.