The finite-element models for stress of homogeneous and three-layered conical shells

V. N. Bakulin ; V. V. Repinsky

Matematičeskoe modelirovanie, Tome 13 (2001) no. 6, pp. 39-46.

Résumé

At calculation of stress-strain state (SSS) of shells of rotation with finite element method the finite elements based on approximation of fields of movements by polynomials of the first and second orders are usually used. The application of such elements in many cases constrains to build the rather unwieldy finite-element models for achievement of an acceptable precision. In this connection the engineering of more efficient approximations which would allow to gain a necessary precision of the numerical solution at reasonable expenditures of computing resources is actual. For this purpose in the functions, approximating movements in finite elements, the analytically received expressions circumscribing movements of a shell as rigid whole are explicitly included. The build-up of finite elements for modeling of stress-strain state of thin anisotropic shells of rotation of a zero Gaussian curvature is considered. With the data finite elements it is possible to simulate SSS in relatively thin layers of a boosted rigidity (carrying layer) of multilayer covering. For modeling SSS of thicker layers of an under rigidity (layers of filler) the finite elements, constructed with usage of approximations of finite elements of carrying layers are considered. At constructing of the finite-element models of layers of filler, the filler is considered as a threedimensional body.