Natural Structural Shapes of Membrane Shells

1988 ◽  
pp. 398-398
Author(s):  
W. Stadler ◽  
V. Krishnan
Keyword(s):  
Membrane Shells

Stress analysis for a class of membrane shells

Meccanica ◽  
1972 ◽  
Vol 7 (2) ◽  
pp. 87-91
Author(s):  
Gianfranco Capirz ◽  
Alfonso Laratta
Keyword(s):  
Stress Analysis ◽  
Membrane Shells

An obstacle problem for elliptic membrane shells

2018 ◽  
Vol 24 (5) ◽  
pp. 1503-1529 ◽  
Author(s):  
Philippe G. Ciarlet ◽  
Cristinel Mardare ◽  
Paolo Piersanti
Keyword(s):  
Vector Field ◽  
Asymptotic Analysis ◽  
Obstacle Problem ◽  
Displacement Vector ◽  
Middle Surface ◽  
Two Dimensional ◽  
Displacement Vector Field ◽  
Membrane Shells ◽  
Signorini Condition ◽  
Confinement Condition

Our objective is to identify two-dimensional equations that model an obstacle problem for a linearly elastic elliptic membrane shell subjected to a confinement condition expressing that all the points of the admissible deformed configurations remain in a given half-space. To this end, we embed the shell into a family of linearly elastic elliptic membrane shells, all sharing the same middle surface [Formula: see text], where [Formula: see text] is a domain in [Formula: see text] and [Formula: see text] is a smooth enough immersion, all subjected to this confinement condition, and whose thickness [Formula: see text] is considered as a “small” parameter approaching zero. We then identify, and justify by means of a rigorous asymptotic analysis as [Formula: see text] approaches zero, the corresponding “limit” two-dimensional variational problem. This problem takes the form of a set of variational inequalities posed over a convex subset of the space [Formula: see text]. The confinement condition considered here considerably departs from the Signorini condition usually considered in the existing literature, where only the “lower face” of the shell is required to remain above the “horizontal” plane. Such a confinement condition renders the asymptotic analysis substantially more difficult, however, as the constraint now bears on a vector field, the displacement vector field of the reference configuration, instead of on only a single component of this field.

Analytical mechanics of membrane shells: a review

2016 ◽  
Vol 10 ◽  
pp. 2189-2204 ◽  
Author(s):  
Lev N. Rabinskiy ◽  
Nadezhda P. Shoumova ◽  
Sergey I. Zhavoronok
Keyword(s):  
Analytical Mechanics ◽  
Membrane Shells

Probabilistic-Guaranteed Optimal Design of Membrane Shells Against Quasi-brittle Fracture

2003 ◽  
Vol 31 (4) ◽  
pp. 459-474 ◽  
Author(s):  
N. V. Banichuk ◽  
F. Ragnedda ◽  
M. Serra
Keyword(s):  
Optimal Design ◽  
Brittle Fracture ◽  
Membrane Shells

scholarly journals On dispersion relations in smart laminated fiber-reinforced composite membranes considering different piezoelectric coupling effects

2019 ◽  
Vol 38 (2) ◽  
pp. 487-509 ◽  
Author(s):  
Hossein Bisheh ◽  
Nan Wu
Keyword(s):  
Wave Motion ◽  
Piezoelectric Materials ◽  
Composite Membranes ◽  
Fiber Reinforced ◽  
Coupling Effects ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite ◽  
Piezoelectric Coupling ◽  
Membrane Shells ◽  
Circumferential Wave

Wave propagation characteristics are determined for smart laminated fiber-reinforced composite cylindrical membrane shells with different piezoelectric coupling effects. Wave motion equations are derived using the membrane shell model. By solving an eigenvalue problem, dispersion curves of the wave motion are obtained for different axial and circumferential wave numbers. The effects of piezoelectric coupling, fiber orientation, stacking sequence, and material properties of the host shell on wave behaviors are investigated. The results of this paper can be used for studies on dynamic stability of piezoelectric coupled laminated fiber-reinforced composite shell structures and in design of smart structures with the piezoelectric materials for the applications of damage detection and structural health monitoring.

scholarly journals A RESEACH ON MEMBRANE SHELLS

1993 ◽  
Vol 444 (0) ◽  
pp. 63-72
Author(s):  
Kiyonori KIKUTAKE ◽  
Gengo MATSUI
Keyword(s):  
Membrane Shells
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