Shape optimization of the hole in an orthotropic plate. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: Wang, S. J.; Lu, A. Z.; Zhang, X. L.; Zhang, N.
• Is Part Of: Mechanics based design of structures and machines. Volume 46:Issue 1(2018)
• Page Start: 23
• Page End: 37
• Publication Date: 2018-01-02
• Subjects: Conformal mapping -- mixed penalty function method -- orthotropic plates -- shape optimization -- stress concentration; Structural analysis (Engineering) -- Periodicals; Structural design -- Periodicals; 624.17
• DOI: 10.1080/15397734.2016.1261036
• Languages: English
• ISSNs: 1539-7734

Abstract

ABSTRACT: The exploration in this work is how to minimize the stress concentration around the edge of the hole in an orthotropic plate. The study first presents the analytical solution of the stress distribution around arbitrary holes using the complex variable method and then carries out the shape optimization using the mixed penalty function method. In the optimization process, optimal holes and stress distributions under the different factors are investigated, i.e., the loading, the Young's modulus, and the fiber direction. Finally, we come to the conclusion that in the biaxial compressive load state, the shape and the stress are mainly affected by the loading, followed by the fiber direction and the Young's modulus. In the pure shear condition, all three factors determine the optimum results.