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Optimal structural pattern for maximal compliance using topology optimization based on phasefields: Application to improve skin graft meshing efficiency
Author(s) -
Sutula Danas,
Henyš Petr,
Čapek Lukáš
Publication year - 2020
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.3405
Subject(s) - topology optimization , constraint (computer aided design) , coalescence (physics) , topology (electrical circuits) , extension (predicate logic) , mathematical optimization , optimal design , mathematics , computer science , structural engineering , engineering , geometry , finite element method , combinatorics , physics , astrobiology , programming language , statistics
This article focuses on the problem of maximal compliance design of a hyper‐elastic solid with the optimal design of human skin grafts as the application in mind. The solution method is a phasefield‐based topology optimization method that supposes multiple local phasefields and a minimum distance constraint in order to prevent the phasefields from merging. Consequently, structurally disintegrating solutions such as by the coalescence of voids can be prevented. The method is used to find an optimal graft meshing pattern for a sample that is subjected to a biaxial extension of up to 150% , which corresponds to an expansion ratio of 1 : 2.25 . Three prospective unitcell solutions that exhibit meta‐material behavior are proposed for a periodic graft pattern. The results are a step toward improving the skin graft meshing efficiency. This work does not cover experimental validation.