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2.094

Atomistic Modeling and Simulation of Materials and Structures

3-0-9 units · Graduate

See description under subject 1.545[J] .

Spring 2011 · Finite Element Analysis of Solids and Fluids II

Topics

  • Large displacement analysis of solids/structures
  • Finite element formulation of solids and structures
  • Finite element formulation of solids and structures (cont.)
  • Finite element displacement formulation (cont.)
  • Finite element formulation, example, convergence
  • Isoparametric elements
  • Convergence of displacement-based FEM
  • u and p formulation
  • Finite element large deformation/general nonlinear analysis
  • Deformation, strain, and stress tensors
  • Total Lagrangian formulation
  • Total Lagrangian formulation (cont.)
  • Field problems
  • Finite element analysis of Navier-Stokes fluids
  • Incompressible fluid flow and heat transfer (cont.)
  • Solution of finite element equations
  • Slender structures
  • Beams, plates, and shells
  • Plates and shells

Readings

  • You will find references to special topics in the textbook.
    Listed reading
  • Bathe, K. J. Finite Element Procedures . 2nd ed. Klaus-Jurgen Bathe, 2014. ISBN: 9780979004957.
    Listed reading
  • The reading assignments will be given in the lectures and will refer to the textbook Finite Element Procedures . We will discuss specific material in chapters 1, 3, 4, 5, 6, 7, and 8.
    Listed reading
  • Kojic, M., and K. J. Bathe. Inelastic Analysis of Solids and Structures . Berlin, Germany: Springer-Verlag, 2004. ISBN: 9783540227939.
    Listed reading
  • Chapelle, D., and K. J. Bathe. The Finite Element Analysis of Shells – Fundamentals . Berlin, Germany: Springer, 2003. ISBN: 9783540413394.
    Listed reading
  • Bathe, K. J. “The Finite Element Method.” pp. 1253-1264 in Wiley Encyclopedia of Computer Science and Engineering. Edited by Benjamin W. Wah. Hoboken, NJ: Wiley-Interscience, 2009. ISBN: 9780471383932.
    Listed reading

Prerequisites & course information

Same subject as 1.545[J] Prereq: None Acad Year 2027-2028: Not offered Acad Year 2028-2029: G (Fall) 3-0-9 units

Sources