Topology and shape optimization of structural components with fracture constraints

  • Bogdan Wilczyński Technical University of Koszalin
  • Zenon Mróz Institute of Fundamental Technological Research Polish Academy of Sciences

Abstract

In this paper a numerical design algorithm is described which enables the minimization of the stress intensity factor in a machine component by introducing the defense notch system into the component (weakening of the component) or/and by introducing stiffeners into the component (stiffening of the component) and selection of the shape of its boundary. The paper starts with the extensive review of literature devoted to the optimal design of machine parts with fracture constraints. The design procedure used is the combination of mathematical methods of computer graphics, the Boundary Element Method or the Finite Element Method used for the analysis of the stress field, the sensitivity analysis for the response gradient computations assisted by the Sequential Linear Programming. Also the concept of stop holes drilled at the crack tip, to crack arrest, is discussed. That means replacement of singular stress filed problem (cracks) by quasi-singular one (notches) and optimal design of stop holes becomes notch shape optimization problem.

Keywords

stress intensity factor, optimization, BEM, FEM, SLP, defense notch system, stop holes,

References

[1] M.H. Aliabadi, D.P. Rooke. Numerical Fracture Mechanics. Computational Mechanics Publications, Southampton, 1991.
[2] T.L. Anderson. Fracture Mechanics. Fundamentals and Applications. CRC Press, Boca Raton, 1995.
[3] N.V. Banichuk. Optimal design of quasi-brittle elastic bodies with cracks. Mechanics of Structures and Machines, 26: 365- 376, 1998.
[4] N.V. Banichuk, E.W. Makeev, V.V. Saurin. On sensitivity of quasibrittle fracture conditions (in Russian) . Mechanics of Solids (MTT), 1: 62-69, 1998.
[5] N.V. Banichuk, F.K. Ragnedda, M. Serra. Probabilistic approaches for optimal beam design based on fracture mechanics. Meccanica, Int. J. of the Italian Association of Theoretical and Applied Mechanics, 34: 29- 38, 1998.
Published
Feb 2, 2023
How to Cite
WILCZYŃSKI, Bogdan; MRÓZ, Zenon. Topology and shape optimization of structural components with fracture constraints. Computer Assisted Methods in Engineering and Science, [S.l.], v. 10, n. 2, p. 239-257, feb. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1094>. Date accessed: 13 nov. 2024.
Section
Articles