An optimal control approach to an inverse nonlinear elastic shell problem applied to car windscreen design

DOI10.1016/S0045-7825(99)00302-3zbMath0980.74049MaRDI QIDQ1584914

Sandro Manservisi

Publication date: 6 November 2000

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

zbMATH Keywords

finite element approximationnonlinear elasticityoptimal control problemgradient methodtemperature distributionquadratic functionaldiscrete variational inequalitycar windscreensinverse nonlinear elastic shell problemsag bending

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Shells (74K25) Inverse problems in equilibrium solid mechanics (74G75) Optimization of other properties in solid mechanics (74P10)

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Cites Work

• Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces
• The problem of membrane locking in finite element analysis of cylindrical shells
• Existence theorems for two-dimensional linear shell theories
• A variational inequality formulation of an inverse elasticity problem
• An hp Error Analysis of MITC Plate Elements
• On evaluating the inf-sup condition for plate bending elements
• Locking Effects in the Finite Element Approximation of Plate Models
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