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Zbl 0683.73022
Dickey, R.W.
Rotationally symmetric solutions for shallow membrane caps. (English)
[J] Q. Appl. Math. 47, No.3, 571-581 (1989). ISSN 0033-569X; ISSN 1552-4485/e

Summary: We discuss the displacements and stresses in a shallow membrane cap with either displacement or stress prescribed on the boundary and subjected to a small applied pressure. It is shown that if the prescribed boundary stress is sufficiently large there is a rotationally symmetric solution and if the applied pressure is large there is a solution to the problem with zero displacement prescribed on the boundary. However, there are situations in which there are no rotationally symmetric solutions. One case is described in which there are no rotationally symmetric solutions unless the prescribed boundary stress or prescribed boundary displacement is large.

MSC 2000:: *74B99 Elasitc materials
74C99 Plastic materials, etc.
74D99 Materials of strain-rate type and history type, etc.
74K15 Membranes
74B20 Nonlinear elasticity

Keywords: displacements; stresses; small applied pressure

Citations: Zbl 0627.73070; Zbl 0644.73061

Cited in: Zbl 0933.74041

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