Level set based topological shape optimization of geometrically nonlinear structures using unstructured mesh

88 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Combined shape and topology optimization for minimization of maximal von Mises stress (2017, background): “Furthermore, a maximum von Mises stress constraint has been enforced in topology optimization problems (e.g. Duysinx and Sigmund 1998; Svanberg and Werme 2007; Bruggi and Venini 2008; Le et al. 2010; Cheng and Jiang 1992; Allaire and Jouve 2008; Allaire et al. 2011, 2014; Ha and Cho 2008; Yamasaki e”
Shape optimization with a level set based mesh evolution method (2014, unknown): “5), taken over in [46], in which the evolution of shapes is dealt with by using the level set method on a finite difference grid of the working domain D, and an original meshing algorithm for implicit geometries is used to get an exact representation of shapes.”
Stress-based topology optimization using an isoparametric level set method (2012, methodology): “Several authors have presented techniques for solving the Hamilton–Jacobi equation in problems where the finite element mesh is unstructured or simply nonuniform [12,13,6].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “More recently, Ha and Cho (2008) used an unstructured mesh along with level set topology for compliance minimization with geometric nonlinearity and hyperelastic material.”