Vol.5, No 1, 2006 pp. 99 - 116
UDC 531.3
ASYMPTOTIC APPROACHES IN THE THEORY OF
SHELLS:
LONG HISTORY AND NEW TRENDS
I.V. Andrianov1, J. Awrejcewicz2
1Institut für Allgemeine Mechanik, RWTH Aachen,
Templergraben 64, D-52056, Aachen, Germany
2Technical University of Łódź, Department of Automatics
and
Biomechanics, 1/15 Stefanowski St., 90-924 Łódź, Poland
Abstract. This paper provides a state-of-the-art review of asymptotic
methods in the Theory of Plates and Shells (TPS). Asymptotic methods of
solving problems related to TPS have been developed by many authors. The
main features of our paper are: (i) it is devoted to the basic principles
of asymptotic approaches, and (ii) it deals with both traditional approaches,
and less widely used, new approaches. The authors have paid special attention
to examples and discussion of results rather than to burying the ideas
in formalism, notation, and technical details.
Key words: plates, shells, asymptotic methods, homogenization
ASIMPTOTISKI PRISTUPI TEORIJI LJUSKI:
DUGA ISTORIJA I NOVI TRENDOVI
Rad pruža kompleksan prikaz asimptotskih metoda u primeni na Teoriju ljuski
i ploča (TPS). Asimptotiske metode rešavanja problema koji se odnose na
teoriju ploča i ljuski razvili su mnogi autori. Glavne osobine ovog rada
su: (i) posvećen je osnovnim principima asimptotskih metoda, i (ii) i bavi
se i tradicionalnim i, manje rasprostranjenim, novim pristupima. Autori
posebnu pažnju posvećuju primerima i diskusiji rezultata i ne opterećuju
ideje formalizmom, komentarima i tehničkim detaljima.
Ključne reči: ploče, ljuske, asimptotske metode, homogenizacija
