A non-gradient approach for three dimensional topology optimization
AbstractThe present work is devoted to the extension of the non-gradient approach, namely Proportional Topology Optimization (PTO), for compliance minimization of three-dimensional (3D) structures. Two schemes of material interpolation within the framework of the solid isotropic material with penalization (SIMP), i.e. the power function and the logistic function are analyzed. Through a comparative study, the efficiency of the logistic-type interpolation scheme is highlighted. Since no sensitivity is involved in the approach, a density filter is applied instead of sensitivity filter to avoid checkerboard issue
Talischi C., Paulino G. H., Pereira A. and Menezes I. F. M., "PolyTop: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes, Structural and Multidisciplinary Optimization 45 (2012) 329-357.
Otomori M., Yamada T., Izui K. and Nishiwaki S., Matlab code for a level set-based topology optimization method using a reaction diffusion equation, Structural and Multidisciplinary Optimization 51 (5) (2015) 1159-1172.
Zhao T., Ramos A. S. Jr. and Paulino G. H., Material nonlinear topology optimization considering the von Mises criterion through an asymptotic approach: Max strain energy and max load factor formulations, International Journal for Numerical Methods in Engineering, 118 (13) (2019) 804-828.
Biyikli E. and To A. C., Proportional topology optimization: a new non-sensitivity method for solving stress constrained and minimum compliance problems and its implementation in MATLAB, PLoS One 10 (12) (2015) e0145041.
Sigmund O. and Petersson J., Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima, Structural Optimization 16 (1998) 68-75.
Paris J., Navarrina F., Colominas I. and Casteleiro M., Stress constraints sensitivity analysis in structural topology optimization, Computer Methods in Applied Mechanics and Engineering 199 (33-36) (2010) 2110-2122.
How to Cite
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Vietnam Journal of Sciences and Technology (VJST) is an open access and peer-reviewed journal. All academic publications could be made free to read and downloaded for everyone. In addition, articles are published under term of the Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA) Licence which permits use, distribution and reproduction in any medium, provided the original work is properly cited & ShareAlike terms followed.
Copyright on any research article published in VJST is retained by the respective author(s), without restrictions. Authors grant VAST Journals System a license to publish the article and identify itself as the original publisher. Upon author(s) by giving permission to VJST either via VJST journal portal or other channel to publish their research work in VJST agrees to all the terms and conditions of https://creativecommons.org/licenses/by-sa/4.0/ License and terms & condition set by VJST.
Authors have the responsibility of to secure all necessary copyright permissions for the use of 3rd-party materials in their manuscript.