ENGG(SERC) 3-907: Finite Element Technology-II (L-T-P-C) : 3-0-1-3

Introduction to nonlinear FEA – Concept of geometric and material nonlinearity, Total and updated

Faculty: Dr. A. Rama Mohan Rao, Dr. G.S. Palani

Adaptive refinement techniques: Introduction, definition of errors, various basic error estimators for linear static and dynamic analysis, superconvergence and optimal sampling points, superconvergent patch recovery. Finite element procedures for fracture Mechanics problems, introduction, various implementation techniques.

Nonlinear finite element analysis: Introduction, Advantages of linear analysis,necessity of nolinear analysis, Consequences of nonlinear analysis, examples of nonlinear stress analysis, components of nonlinear computational model, classification of sources of nonlinearity, geometric and material nonlinear analysis, brief introduction to different types of formulations for geometric nonlinear analysis. Geometrical nonlinear analysis: total Lagrangian and updated Lagrangian formulations for discrete elements and computer implementation, different strain measures, Brief review of continuum mechanics, geometrical nonlinear formulations and computer implementation for continuum elements. Basic plasticity: Introduction, one-dimensional elastic-Plastic analysis, Small strain plasticity relations, Elastic-Plastic analysis procedures, computer implementation