Level set-based topology optimization for compliance and stress minimization of shell structures using trimmed quadrilateral shell meshes

A level set method for structural topology optimization

Michael Yu Wang, Xiaoming Wang, Dongming Guo · Computer Methods in Applied Mechanics and Engineering · 2002 · 3.2K citations

Engineering, Computational Engineering, Mathematics +12

Structural optimization using sensitivity analysis and a level-set method

Grégoire Allaire, François Jouve, Anca-Maria Toader · Journal of Computational Physics · 2003 · 2.7K citations · Full text

Engineering, Computational Engineering, Mathematics +14

A continuum mechanics based four‐node shell element for general non‐linear analysis

Eduardo N. Dvorkin, Klaus‐Jürgen Bathe · Engineering Computations · 1984 · 1.3K citations

Engineering, Mechanical Engineering, Computational Mechanics +16

Stress-based topology optimization for continua

Chau H. Le, Julián A. Norato, T.E. Bruns et al. · Structural and Multidisciplinary Optimization · 2009 · 808 citations

Engineering, Computational Engineering, Mechanical Engineering +12

A topology optimization method based on the level set method incorporating a fictitious interface energy

Takayuki Yamada, Kazuhiro Izui, Shinji Nishiwaki et al. · Computer Methods in Applied Mechanics and Engineering · 2010 · 618 citations · Full text

Natural Sciences, Electrical Engineering, Mathematics +10