Semesters: 2025-2026-II

Topology and Shape Optimization

View course outline
# Chapter Additional Reading
1 Review of design optimization
2 Optimization and convex programming
3 Sequential explicit convex approximations
4 Discrete optimization problems
5 Review of continuum mechanics
6 Sensitivity analysis and shape optimization
7 Topology optimization using SIMP
8 Alternative methods

Assignments

# Sheet Name Sources
1 Discrete truss shape and topology optimization A new method for optimal truss topology design
2 2D topology optimization with regularized penalty Topology optimization using regularized intermediate density control

Exams/Quizzes

# Exam Solutions
1 Midsem Midsem solutions
2 Endsem Endsem solutions

General exam instructions

  • Reach on time.
  • You are allowed one A4 size sheet with whatever formulae/derivations you want to write. This applies to all exams and quizzes.
  • Bring your valid student IDs (hard copy).
  • No electronic devices (phones, smartwatches etc) are allowed.
  • There is no sharing allowed (pens, sheets, calculators, etc).

References

  1. Christensen, P. W., and Klarbring, A. An Introduction to Structural Optimization. Springer, 2009
  2. Bendsoe, M.P. and Sigmund, O. Topology Optimization - Theory, Methods, and Applications. Springer, 2004.
  3. Huang, X., and Xie, Y. M. Evolutionary Topology Optimization of Continuum Structures: Methods and Applications, Wiley, 2010.
  4. Borrvall, T., Petersson, J. Large-scale topology optimization in 3D using parallel computing, CMAME, 2001
  5. Aris, R.. Vectors, tensors and the basic equations of fluid mechanics. Courier Corporation.
  6. M. Scherer, R. Denzer, and P. Steinmann. A fictitious energy approach for shape optimization, IJNME
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