1st Edition

Smooth Topological Design of Continuum Structures

By Yun-Fei Fu, Bernard Rolfe Copyright 2025
    224 Pages 165 B/W Illustrations
    by CRC Press

    Smooth Topological Design of Continuum Structures focuses on the use of a newly-proposed topology algorithm for structural optimization called Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT).

    The book presents the basic theory of SEMDOT and explains connections between this method and the corresponding optimizers. The method is used to address the long-standing jagged edge problem facing classical topology optimization algorithms and is presented as a perfect tool for combining additive manufacturing and topology optimization, which are increasingly coupled together to produce new part designs. A range of representative case studies are also included to illustrate applications.

    This serves as a textbook and reference for graduate and senior undergraduate students in the area, as well as engineers in the structural optimization field. Full modifiable MATLAB codes for each chapter are available online.

    1. Introduction.

    2. Topology Optimization Algorithms.

    3. Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT) Algorithm.

    4. Optimizers.

    5. Stiffness Maximization Problems.

    6. Compliant Mechanism Design Problems.

    7. Heat Conduction Problems.

    8. Dynamic Problems.

    9. Maximum Stress Minimization Problems.

    10. Self-Supporting Design for Additive Manufacturing.

    11. Homogenization Topology Optimization Problems.

    12. Closing Remarks.

    Appendix A. Comparison with Existing Algorithms.

    Appendix B. Zhou-Rozvany Problem.

    Appendix C. MATLAB-Based SEMDOT Software Packages.

    Biography

    Yun-Fei Fu is a postdoctoral fellow at University of Alberta, Canada.

    Bernard Rolfe is a professor of Advanced Manufacturing at the School of Engineering, Deakin University.