8 citations · 10 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
Kantorovich-Rubinstein duality theory for the Hessian
Karol Bołbotowski, Guy Bouchitté
The classical Kantorovich-Rubinstein duality theorem establishes a significant connection between Monge optimal transport and maximization of a linear form on the set of 1-Lipschit…
Optimal design of plane elastic membranes using the convexified Föppl's model
Karol Bołbotowski
This work puts forth a new optimal design formulation for planar elastic membranes. The goal is to minimize the membrane's compliance through choosing the material distribution des…
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…
Optimal design versus maximal Monge-Kantorovich metrics
Karol Bołbotowski, Guy Bouchitté
A remarkable connection between optimal design and Monge transport was initiated in the years 1997 in the context of the minimal elastic compliance problem and where the euclidean…
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…