Topological sensitivity analysis

By Antonio André Novotny, Raúl A. Feijóo, E. Taroco, Claudio Padra. 2003

334 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c033fba85cf3a655195db2bdc2125583e88abf5d

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Stress concentration minimization of 2D filets using X-FEM and level set description (2007, methodology): “Topological derivatives have then to be used (see Novotny et al. 2003 or Sokolowski and Zochowski 1999 for instance).”
Topological derivative-based topology optimization of structures subject to Drucker–Prager stress constraints (2012, background): “More recently, a new class of methodologies for structural topology optimization has emerged based on the use of the topological derivative of the relevant objective functionals [30, 12, 25, 5, 24, 26].”
A topology optimization method based on the level set method incorporating a fictitious interface energy (2010, methodology): “Here, we note that the derivatives dFðv/Þ d/ equivalent to the topological derivatives [75–77] defined as”
Evolutionary topology optimization for temperature reduction of heat conducting fields (2004, background): “In their work, some energytype cost functions were set for the design objectives and material removal is carried out in the design process [31].”
Connections between topological sensitivity analysis and material interpolation schemes in topology optimization (2011, background): “(1999), and then developed by several authors, see, e.g., Amstutz (2006a, b), Guzina and Bonnet (2004), Nazarov and Sokooowski (2003) and Novotny et al. (2003) .”
A level set method for structural topology optimization and its applications (2004, methodology): “[13] have provided the formal relation between the topological derivative and shape sensitivity analysis, and the whole mathematical framework developed for the shape sensitivity analysis can be used to compute the topological derivative.”
Topology optimization of shell structures using adaptive inner-front (AIF) level set method (2008, methodology): “To overcome the shortcomings, attempts to create inner-fronts during the optimization process by incorporating the topological derivative (Sokołowski and Żochowski 1999; Novotny et al. 2003) with the level set-based topology optimization have been presented.”
Minimum stress optimal design with the level set method. (2008, positive): “The notion of topological gradient (in the context of optimal design) has been introduced by Schumacher, Masmoudi, Sokolowski and their co-workers [18], [15], [19], [36], [37] and has been further developped by many authors [11], [25], [32].”
Topology optimization approaches (2013, background): “The derivation of the topological derivatives requires rather complex mathematics (Sokołowski and Zochowski 1999; Novotny et al. 2003).”