The forms of revolution generated by shell structures are the simplest of classical art. Thus, the main motivation of this paper is present the basic tools for understanding shell behavior and the reader can design it without any problems.
The text will focus on analyzing the two most common shells. First the dome and second cylindrical wall. Having analyzed the two types we will look the union between these two types and see the ring edge necessary in many cases.
Abstract
The forms of revolution generated by shell structures are the simplest of classical art. Thus, the main motivation of this paper is present the basic tools for understanding shell behavior and the reader can design it without any problems.
A new plate triangle based on Reissner–Mindlin plate theory is proposed. The element has a standard linear deflection field and an incompatible linear rotation field expressed in terms of the mid‐side rotations. Locking is avoided by introducing an assumed linear shear strain field based on the tangential shear strains at the mid‐sides. The element is free of spurious modes, satisfies the patch test and behaves correctly for thick and thin plate and shell situations. The element degenerates in an explicit manner to a simple discrete Kirchhoff form.
Abstract
A new plate triangle based on Reissner–Mindlin plate theory is proposed. The element has a standard linear deflection field and an incompatible linear rotation field expressed in [...]
A comparison between new and existing triangular finite elements based on the shell theory proposed by Juan Carlos Simo and co-workers is presented. Particular emphasis is put on the description of new triangles which show a promising behaviour for linear and non linear shell analysis.
Abstract
A comparison between new and existing triangular finite elements based on the shell theory proposed by Juan Carlos Simo and co-workers is presented. [...]