An efficient method for shape and topology optimization of shell structures

Optimal shape design as a material distribution problem

Martin P. Bendsøe · Structural and Multidisciplinary Optimization · 1989 · 4.4K citations

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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

Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima

Ole Sigmund, Joakim Petersson · Structural and Multidisciplinary Optimization · 1998 · 2.1K citations

Computing, Computer Science, Mathematics +9

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