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Purdue School of Engineering and Technology

Purdue School of Engineering and Technology

Finite Element Analysis

ME 55100 / 3 Cr. (3 Class)

Concepts of finite elements methods; formulations for different engineering problems and their applications. Variational methods, the finite element concept, and applications in stress analysis, dynamics, fluid mechanics, and heat transfer.

Primary Track: Solid Mechanics & CAE, Fluid & Thermal Sciences, Materials, Biomechanics, Design

Textbooks

Finite Element Analysis: Theory and Application with ANSYS, Moaveni, Pearson, 4th  or later Edition

Outcomes
  • Derive the finite element equations for different boundary- and initial-boundary-value problems
  • Use partial-differential equation concepts, variational principles, and interpolation theories to derive finite element models
  • Develop finite element algorithms for steady and transient problems
  • Use finite element codes for modeling of problems encountered in various branches of engineering and sciences
  • Analyze and evaluate the solution of finite element codes
  • Make error analysis and checks to verify accuracy of the finite element solutions
  • Code finite element programs with minimum extra training
  • Apply the method to problems in their specific field of study
Topics
  • Variational formulation of boundary and initial boundary value problems 
  • Finite element formulation and analysis of one-dimensional problems 
  • Computer implementation of the finite element method 
  • Finite element formulation and analysis of two-dimensional problems with single and multi-variables 
  • Computer applications using the finite element computer program ANSYS