Abstract
In this study, we propose a multi-scale shape optimization method to find the optimal macrostructure and microstructures that achieves the target displacement for a porous laminated shell structure. The displacement at any point of the laminated shell structure is controlled to the target value under the total volume constraint by minimizing the squared error. The equilibrium equation for the macrostructure and the homogenization equations for the unit cells are used as constraints. The shape optimization problem is formulated, and the shape gradient functions theoretically derived are applied to the H1 gradient method. The homogenization method is used for connecting the macrostructure and the microstructures. With the H1 gradient method for shape optimization, a smooth macrostructure and microstructure can be obtained.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
