On optimal shapes in materials and structures

By P. Pedersen. 2000

108 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/931fa639a1b79b200d383ac66a1183b573099c94

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Citations in the corpus

A geometry projection method for shape optimization (2004, background): “However, as indicated in Reference [16], they are so far unable to introduce new holes.”
Stress concentration minimization of 2D filets using X-FEM and level set description (2007, background): “(26) showed that compliance minimization leads to a good improvement of stress concentration.”
A critical review of established methods of structural topology optimization (2009, background): “Some outstanding homogenization papers discussed applications to multiple loading (Diaz and Bendsoe 1992), eigenvalue problems (Diaz and Kikuchi 1992), and 3D continua under single and multiple loads (Diaz and Lipton 1997, 2000).”
Full analytical sensitivities in NURBS based isogeometric shape optimization (2010, background): “Note, the optimal designs for the finite and infinite plates are distinct [24, 25].”
Nonparametric gradient-less shape optimization for real-world applications (2005, methodology): “Another proof for Thesis 1 with the prerequisite of Thesis 2 has been given recently by Pedersen (2000) using an energy formulation.”
Shape optimization of 2D structures using simulated annealing (2007, methodology): “to minimize stress concentration [3,19,22,25, 26,32,33,42,43,57,60,66,68,77,83,87], maximize fracture strength [37,80,85], buckling strength [65], fatigue life [50,55,59,68], and heat flux [17,58], minimize peak contact stress [46,54,56,75,83], compliance [7,29,34,48,63,64,67, 70,57,73,78], peak acc”