TY - JOUR
T1 - Solid isotropic material with thickness penalization – A 2.5D method for structural topology optimization
AU - Yarlagadda, Tejeswar
AU - Zhang, Zixin
AU - Jiang, Liming
AU - Bhargava, Pradeep
AU - Usmani, Asif
N1 - Funding Information:
The authors would like to acknowledge the Hong Kong Polytechnic University funding for this work through a PhD scholarship to Tejeswar Yarlagadda and Zixin Zhang. The University Research Facility in 3D Printing (U3DP) laboratory at the Hong Kong Polytechnic University provided the 3D printing facilities to print the prototype. Also, the authors would like to thank the authors of “top88” from the Department of Solid Mechanics, the Technical University of Denmark, for providing the open-source code for education purposes.
Funding Information:
The authors would like to acknowledge the Hong Kong Polytechnic University funding for this work through a PhD scholarship to Tejeswar Yarlagadda and Zixin Zhang. The University Research Facility in 3D Printing (U3DP) laboratory at the Hong Kong Polytechnic University provided the 3D printing facilities to print the prototype. Also, the authors would like to thank the authors of “top88” from the Department of Solid Mechanics, the Technical University of Denmark, for providing the open-source code for education purposes.
Publisher Copyright:
© 2022 Elsevier Ltd
PY - 2022/10/1
Y1 - 2022/10/1
N2 - SIMP is the most common topology optimization scheme to minimize the material utilization of a structural component using element densities as a design variable. This paper presents a new methodology, SIMTP, Solid Isotropic Material with Thickness Penalization, introducing a nodal thickness variable to the plane stress element. SIMTP uses a 2.5D element, and it is developed considering the varying thickness as a 3D problem and planar transformation as a 2D problem. The developed 2.5D element is used for projecting the 2D strain energy onto a 3D space. Classical optimization problems like Cantilever, MBB, and L-, beams are solved using 2.5D SIMTP, and results are compared with SIMP. The implementation is simple, directly representing the thickness, and nodal design variables enhance the resolution. Checkerboarding or other topology-related issues are not noticed during the process. Also, 2.5D SIMTP can yield desired results with fewer elements, thereby reducing the computational efforts. Besides, a 211-line MATLAB implementation of 2.5D SIMTP with examples is provided at the end of this paper.
AB - SIMP is the most common topology optimization scheme to minimize the material utilization of a structural component using element densities as a design variable. This paper presents a new methodology, SIMTP, Solid Isotropic Material with Thickness Penalization, introducing a nodal thickness variable to the plane stress element. SIMTP uses a 2.5D element, and it is developed considering the varying thickness as a 3D problem and planar transformation as a 2D problem. The developed 2.5D element is used for projecting the 2D strain energy onto a 3D space. Classical optimization problems like Cantilever, MBB, and L-, beams are solved using 2.5D SIMTP, and results are compared with SIMP. The implementation is simple, directly representing the thickness, and nodal design variables enhance the resolution. Checkerboarding or other topology-related issues are not noticed during the process. Also, 2.5D SIMTP can yield desired results with fewer elements, thereby reducing the computational efforts. Besides, a 211-line MATLAB implementation of 2.5D SIMTP with examples is provided at the end of this paper.
KW - 2.5D element
KW - Degenerated element
KW - Nodal design variable
KW - SIMP
KW - SIMTP
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=85133489523&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2022.106857
DO - 10.1016/j.compstruc.2022.106857
M3 - Journal article
AN - SCOPUS:85133489523
SN - 0045-7949
VL - 270
JO - Computers and Structures
JF - Computers and Structures
M1 - 106857
ER -