Abstract
In the classical approach to shell theory, the displacement vector field of the middle surface of the shell is usually the primary
unknown.In the "intrinsic" approach to shell theory, the change of metric and change of curvature tensor fields of the middle surface of the shell are the primary unknowns. In this lecture, we will give a survey of progress recently made about the mathematical analysis of such methods, applied to linearly elastic and nonlinearly elastic shells. In particular, the key role played by linear and nonlinear "Korn's inequalities on a surface" and related continuity results will be emphasized.
About the speaker
Prof Philippe Ciarlet received his PhD from Case Institute of Technology in Ohio, US in 1966 and was conferred a higher doctorate by the University of Paris in 1971. Prior to taking up the chair professorship of Mathematics in 2002, he was a Professor at the Université Pierre et Marie Curie, Paris from 1974 to 2002.
Prof Ciarlet's studies have been focused on applied mathematics and computational mechanics, which contributed to the development of the mathematical theory of finite element methods. His innovative application of asymptotic analysis has established a mathematical model and introduced a fundamental yet comprehensive theory for elastic thin objects that frequently exist in modern industry. This portion of his body of work is often referred to as Ciarlet's Plate Theory, or Ciarlet's Shell Theory. He is a (foreign) member of eight Academies, e.g. Chinese Academy of Sciences, French Academy of Sciences, Academia Europaea, etc. He has received numerous international acclaimed awards and honorary degrees and professorships, including the Alexander von Humboldt Research Award, Grand Prize from the French Academy of Sciences, to name a few.
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Free and open to the public. Seating is on a first-come first-served basis.
Institute for Advanced Study
Enquiries ias@ust.hk / 2358 5912
http://ias.ust.hk
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