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0542-4226

Industrial applications of finite elements

Also listed as: יישומי אלמנטים סופיים בתעשייה

The applied half of finite elements: nonlinearity, contact, plasticity and coupled fields, run on components rather than on textbook geometry. Take it after 0542-4223 and you are an FEA hire.

Semester
Semester B
Weekly hours
3h
Counts as
Department electives
Interest areas
Structures and computational mechanics · Mechanical design

Opens up

  • Thesis-level nonlinear and multiphysics finite elements

What it covers

Topics

  • Advanced element selection and its consequences
  • Nonlinear analysis: geometric, material and plasticity
  • Contact modelling and its convergence problems
  • Dynamic, modal and transient analysis
  • Thermal and coupled multiphysics problems
  • Convergence, error control and mesh strategy
  • Reading results critically, and the pitfalls that produce confident nonsense
  • Industry workflows and standards, with projects on real components

Results worth carrying out

  • Newton–Raphson residual

    R(u)=FextFint(u)0\mathbf{R}(\mathbf{u}) = \mathbf{F}_{\text{ext}} - \mathbf{F}_{\text{int}}(\mathbf{u}) \to \mathbf{0}
  • Penalty contact enforcement

    Πc=12ϵNΓcgN2dΓ\Pi_c = \tfrac{1}{2}\,\epsilon_N \int_{\Gamma_c} \langle g_N \rangle^2 \, d\Gamma
  • Modal extraction

    det ⁣([K]ω2[M])=0\det\!\left([K] - \omega^2 [M]\right) = 0

Figures worth knowing

  • Mesh with von Mises contours
  • Contact-pressure maps
  • Mode shapes

Related courses

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The topic outlines are not official syllabi. The university publishes a catalogue blurb per course, not lecture-by-lecture material, so each outline describes what a course of that name, at those hours, with those prerequisites teaches at engineering schools generally, cross-checked against the standard textbook for the subject. Treat it as an informed map, not as a transcript of the lectures.