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Rectangular thin elastic plate with edges ’remaining straight’ during the deformation. (English) Zbl 0327.73055
MSC:
74K20 Plates
74G60 Bifurcation and buckling
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References:
[1] Berger M. S.: On von Kármán’s equations and the buckling of a thin elastic plate, I. The clamped plate. - Comm. Pure Appl. Math. 20 (1961), 687-719. · Zbl 0162.56405
[2] Berger M. S., Fife P. C.: Von Kármán’s equations and the buckling of a thin elastic plate, II. Plate with general edge conditions. - Comm. Pure Appl. Math., 21 (1968), 227-241. · Zbl 0162.56501
[3] Knightly G. H.: An existence theorem for the von Kármán equations. – Arch. Rat. Mech. Anal., 27 (1967), 233-242. · Zbl 0162.56303
[4] Муштари Х. М., Галимов К. 3.: Нелинейная теория упругих оболочек. - Таткнигоиздат, Казань 1957. · Zbl 0995.90594
[5] Nečas J.: Les méthodes directes en théorie des équations elliptiques. - Academia, Prague 1967. · Zbl 1225.35003
[6] Nečas J., Naumann J.: On a boundary value problem in nonlinear theory of thin elastic plates. - Aplikace Matematiky., 19 (1974), 7-16. · Zbl 0295.73056
[7] Папкович П. Ф.: Строительная механика корабля, II. - Оборонгиз, Ленинград 1941. · Zbl 0063.09073
[8] Скрыпиик И. В.: Точки бифуркации вариационных задач. - Математическая физика, В. Р., Наукова Думка, Киев 1971, 117-123. · Zbl 1168.35423
[9] Скрыпник И В.: О бифуркации равновесия гибких пластин. - Математическая физика, B. 13., Наукова думка, Киев 1973, 159-161. · Zbl 1221.53041
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