On the energy criterion in the context of plate stability

DOI10.1016/0045-7825(82)90078-0zbMath0505.73027OpenAlexW2095261328MaRDI QIDQ1836505

H. H. E. Leipholz

Publication date: 1982

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(82)90078-0

zbMATH Keywords

deflectionKirchhoff platefunctional equationnonlinear analysisvon Kármán theorycurvaturesslopesfollows from requirement that total potential energy be positive definiterectangular, elastic plates

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Plates (74K20) Stability of dynamical problems in solid mechanics (74H55) Linear vibration theory (70J99)

Cites Work

• On a special case of Friedrich's inequality
• On some recent approaches to structural optimization
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