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math.OC2025
The Isotropic Material Design methods with the cost expressed by the -norm
Karol Bołbotowski, Sławomir Czarnecki, Tomasz Lewiński
The paper concerns the problem of minimization of the compliance of linear elastic structures made of an isotropic material. The bulk and shear moduli are the design variables, bot…
math.OC2021
Optimal vault problem -- form finding through 2D convex program
Karol Bołbotowski
This work puts forward a form finding problem of designing a least-volume vault that is a surface structure spanning over a plane region, which via pure compression transfers a ver…
math.OC2020★ 1 cited
Setting the Free Material Design problem through the methods of optimal mass distribution
Karol Bołbotowski, Tomasz Lewiński
The paper deals with the Free Material Design (FMD) problem aimed at constructing the least compliant structures from an elastic material the constitutive field of which play the r…