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A new class of variational problems arising in the modeling of elastic multi-structures

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Summary

It is shown howelastic multi-structures that comprise substructures of possibly different “dimensions” (three-dimensional structures, plates, rods) are modeled bycoupled, pluri-dimensional, variational problems of a new type. Following recent work by the author, H. LeDret, and R. Nzengwa, we describe here in detail one such problem, which is simultaneously posed over a threedimensional open set with a slit and a two-dimensional open set. The numerical analysis of such problems is also discussed and finally, some numerical results are presented.

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Authors and Affiliations

  1. Laboratoire d'Analyse Numérique, Tour 55

    P. G. Ciarlet

  2. Université Pierre et Marie Curie, 4 place Jussieu, F-75005, Paris, France

    P. G. Ciarlet

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  1. P. G. Ciarlet
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Dedicated to R. S. Varga on the occasion of his sixtieth birthday

Invited lecture,Conference on Approximation Theory and Numerical Linear Algebra, in honor of Richard S. Varga on the occasion of his 60th birthday, March 30–April 1, 1989, Kent State University, Kent, USA

Laboratoire du Centre National de la Recherche Scientifique associé à l'Université Pierre et Marie Curie

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Ciarlet, P.G. A new class of variational problems arising in the modeling of elastic multi-structures. Numer. Math. 57, 547–560 (1990). https://doi.org/10.1007/BF01386427

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