Topology Optimization: "Theory, Methods, And Applications"

By Martin P. Bendsøe, Ole Sigmund. 2011

5,550 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/9805dcb5d37630af0f9dece81acdfc9e9b35200f

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Citations in the corpus

Topological derivative-based topology optimization of structures subject to Drucker–Prager stress constraints (2012, methodology): “[22] in the context of SIMP methods for structural optimization [10].”
Topology optimization for unsteady flow (2011, background): “To find conceptually novel designs without the need for a well-defined initial guess, topology optimization has shown great promise as an engineering design tool [11].”
Level set topology optimization of fluids in Stokes flow (2009, methodology): “Details of this method and extensive references can be found in the recent monograph by Bendsøe and Sigmund [15].”
Explicit level‐set‐based topology optimization using an exact Heaviside function and consistent sensitivity analysis (2012, methodology): “They offer flexible design optimization of structures in an early stage of the design process [1].”
High specific strength and stiffness structures produced using selective laser melting (2014, background): “, [19]), which does not a priori prescribe the geometry or connectivity of the structure.”
Thickness control in structural optimization via a level set method (2016, methodology): “In the framework of the homogenization or SIMP method (Allaire 2002; Bendsoe and Sigmund 2004) for topology optimization, there is a relatively small body of literature devoted to this issue although many works discussed the notions of filtering or mesh independence.”
Undercut and overhang angle control in topology optimization: A density gradient based integral approach (2017, methodology): “It originated as a structural optimization method [1] and has since been applied in problems in fluids, heat transfer, electromagnetic and multiphysics applications [2, 3].”