Solving some problems in the theory of thin shells of revolution with complex boundary conditions

1994 ◽  
Vol 69 (6) ◽  
pp. 1437-1442
Author(s):  
A. T. Vasilenko ◽  
T. I. Polishchuk
Keyword(s):  
Boundary Conditions ◽  
Thin Shells ◽  
Shells Of Revolution ◽  
Complex Boundary

Maysel's formula generalized for piezoelectric vibrations - Application to thin shells of revolution

1996 ◽  
Author(s):  
Hans Irschik ◽  
Franz Ziegler ◽  
Hans Irschik ◽  
Franz Ziegler
Keyword(s):  
Thin Shells ◽  
Shells Of Revolution

scholarly journals Large Creep Deformations of Thin Shells of Revolution

1973 ◽  
Vol 39 (327) ◽  
pp. 3304-3312
Author(s):  
Shigeo TAKEZONO ◽  
Masafumi NAKATSUKASA ◽  
Masami USUI
Keyword(s):  
Thin Shells ◽  
Shells Of Revolution ◽  
Creep Deformations

ON SENSITIVITY AND RELATED PHENOMENA IN THIN SHELLS WHICH ARE NOT GEOMETRICALLY RIGID

1999 ◽  
Vol 09 (01) ◽  
pp. 139-160 ◽  
Author(s):  
EVARISTE SANCHEZ-PALENCIA
Keyword(s):  
Finite Element ◽  
Asymptotic Behavior ◽  
Boundary Conditions ◽  
Lagrange Multiplier ◽  
Mixed Formulation ◽  
Thin Shells ◽  
Elastic Shells ◽  
Mixed Formulations

We consider the asymptotic behavior as the thickness 2ε tends to zero of thin elastic shells which are not geometrically rigid for the kinematic boundary conditions (non-inhibited shells). It is known that the limit displacement belongs to the subspace G of inextensional displacements. We write the corresponding mixed formulation with a Lagrange multiplier. It is then proved that the corresponding problem (equations and boundary conditions) is not elliptic, whatever the type of the surface. Examples are given where the interior smoothness of the data does not imply interior smoothness of the solutions. The topology of the space M of the multipliers is weaker than the L2 topology. In some cases it is even weaker than that of distributions (sensitivity phenomenon). As a consequence, the convergence of the problem in mixed formulation for thickness 2ε as ε tends to zero only holds in very poor topologies, implying non-uniformity with respect to ε of the finite element mixed formulations.

Sign in / Sign up

Export Citation Format

Share Document