Engineering Transactions,
15, 3, pp. 421-435, 1967
Nieliniowe Zagadnienia Deformacji Sprężysto-Plastycznych i Pełzania Membran Kołowych
The authors formulate the problem of combined nonlinear deformation of a plane circular membrane showing instantaneous elastic-plastic strain and creep.
The fundamental set of two nonlinear differential equations for the stress function and the deffection function is solved by the method of double power series involving a small physical quantity.
The efficacy of this method is illustrated by an example.
The fundamental set of two nonlinear differential equations for the stress function and the deffection function is solved by the method of double power series involving a small physical quantity.
The efficacy of this method is illustrated by an example.
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References
Z. BYCHAWSKI, Large deflections of the elasto-creeping circular membrane, Arch. Mech. Stos., 3, 4 (1965).
Z. BYCHAWSKI, Duże ugięcia sprężyście nieliniowych membran kołowych. Rozpr. Inzyn., 1, 14 (1966).
F.K.G. ODQVIST, Applicability of the Elastic Analogue to Creep Problems of Plates, Membranes and Beams, Creep in Structures, IUTAM Colloquium Stanford University, 1960.