On minimum compliance problems of thin elastic plates of varying thickness

Sławomir Adam Czarnecki , Tomasz Denis Lewiński


The paper deals with two minimum compliance problems of variable thickness plates subject to an in-plane loading or to a transverse loading. The first of this problem (called also the variable thickness sheet problem) is reduced to the locking material problem in its stress-based setting, thus interrelating the stress-based formulation by Allaire (2002) with the kinematic formulation of Golay and Seppecher (Eur J Mech A Solids 20:631-644, 2001). The second problem concerning the Kirchhoff plates of varying thickness is reduced to a non-convex problem in which the integrand of the minimized functional is the square root of the norm of the density energy expressed in terms of the bending moments. This proves that the problem cannot be interpreted as a problem of equilibrium of a locking material. Both formulations discussed need the numerical treatment in which stresses (bending moments) are the main unknowns.
Author Sławomir Adam Czarnecki (FCE / ICE)
Sławomir Adam Czarnecki,,
- The Institute of Civil Engineering
, Tomasz Denis Lewiński (FCE / ICE)
Tomasz Denis Lewiński,,
- The Institute of Civil Engineering
Journal seriesStructural and Multidisciplinary Optimization, ISSN 1615-147X
Issue year2013
Publication size in sheets0.7
Keywords in Englishdesign problem, locking materials, Minimum compliance, Optimum design of plates, Plates of varying thickness, shape optimization, topology, variable thickness
ASJC Classification2606 Control and Optimization; 1704 Computer Graphics and Computer-Aided Design; 1706 Computer Science Applications; 2207 Control and Systems Engineering; 1712 Software
Languageen angielski
On minimum compliance problems of thin elastic plates of varying thickness.pdf 933.32 KB
Score (nominal)35
Score sourcejournalList
ScoreMinisterial score = 30.0, 12-06-2020, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 12-06-2020, ArticleFromJournal
Publication indicators WoS Citations = 4; Scopus Citations = 8; GS Citations = 13.0; Scopus SNIP (Source Normalised Impact per Paper): 2013 = 2.327; WoS Impact Factor: 2013 = 1.696 (2) - 2013=2.061 (5)
Citation count*13 (2020-09-08)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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