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  • Optimal design of a simply supported functionally graded axisymmetric circular plate resting on several inner rigid rings is presented in Part I. The variable thickness and the exponent of the power-law of the grading function are to be optimized. In Part II the approximate state problem and approximate optimal design problems are introduced, using spaces of linear and cubic Hermite splines, respectively. We prove the existence of approximate solutions and the convergence of a subsequence of the solutions to a solution of the original continuous optimal design problem.
  • Optimal design of a simply supported functionally graded axisymmetric circular plate resting on several inner rigid rings is presented in Part I. The variable thickness and the exponent of the power-law of the grading function are to be optimized. In Part II the approximate state problem and approximate optimal design problems are introduced, using spaces of linear and cubic Hermite splines, respectively. We prove the existence of approximate solutions and the convergence of a subsequence of the solutions to a solution of the original continuous optimal design problem. (en)
Title
  • Optimization of a functionally graded circular plate with inner rigid thin obstacles. II. Approximate problems
  • Optimization of a functionally graded circular plate with inner rigid thin obstacles. II. Approximate problems (en)
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  • Optimization of a functionally graded circular plate with inner rigid thin obstacles. II. Approximate problems
  • Optimization of a functionally graded circular plate with inner rigid thin obstacles. II. Approximate problems (en)
skos:notation
  • RIV/67985840:_____/11:00368735!RIV12-AV0-67985840
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  • P(IAA100190803), Z(AV0Z10190503)
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  • 12
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  • 218728
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  • RIV/67985840:_____/11:00368735
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  • control of elliptic variational inequalities; functionally graded plates; optimal design of plates; finite element approximations (en)
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  • DE - Spolková republika Německo
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  • [327DFE652EE6]
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  • ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
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  • 91
http://linked.open...iv/tvurceVysledku
  • Hlaváček, Ivan
  • Lovíšek, J.
http://linked.open...ain/vavai/riv/wos
  • 000297583700003
http://linked.open...n/vavai/riv/zamer
issn
  • 0044-2267
number of pages
http://bibframe.org/vocab/doi
  • 10.1002/zamm.201000238
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