Elasticity theory of optimal structures with singularities in the material distribution

Karol Bołbotowski


This paper is aimed at examining the space 1,2 W and the set f   that represent, respectively, displacement and stress fields producing finite elastic energy in a structure given by a measure  that describes material density. This approach allows to define and discuss the properties of optimal structure (including statical determinacy) in a mathematically consistent manner. The new results concerning second order Sobolev spaces 2, 2 W will be also discussed, unlocking analysis of optimal plates, grillages and beams
Author Karol Bołbotowski (FCE / ICE)
Karol Bołbotowski,,
- The Institute of Civil Engineering
Publication size in sheets0.5
Book 13th World Congress of Structural and Multidisciplinary Optimization, 2019, ISSMO, 562 p.
WCSMO_PROGRAM.pdf / 1,014.82 KB / No licence information
Keywords in Englishelasticity theory
Languageen angielski
Score (nominal)0
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ScoreMinisterial score = 0.0, 30-01-2020, ChapterFromConference
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