Naslov
Three-node flat shell finite elements based on the cubic linked interpolation and the assumed strain method

Autori
Grbac, Marin

Vrsta, podvrsta i kategorija rada
Ocjenski radovi, doktorska disertacija

Fakultet
Građevinski fakultet

Mjesto
Rijeka

Datum
20.10

Godina
2022

Stranica
99

Mentor
Ribarić, Dragan

Ključne riječi
finite element method ; flat shell finite elements ; Mindlin plate elements ; membrane elements with rotational degrees of freedom ; linked interpolation ; assumed strain method

Sažetak
In this doctoral thesis, new three-node flat shell finite elements for general 3D linear-elastic analysis of shells with small deformations are developed. These flat shell finite elements are formed by joining two independent parts: out-of-plane Mindlin plate bending part and in-plane membrane part. The displacement-based approach with linked interpolation and the assumed strain method are employed for the development of new finite elements. Various effective finite elements have been developed in the process. Mindlin plate bending finite elements presented here are based on the two-node Timoshenko beam finite element with problem-dependent cubic linked interpolation. This beam element is free of shear locking and is capable of returning the exact results for certain load cases, and has been successfully utilised for Mindlin plate elements in the literature. Without any additional treatment, plate elements developed in such way may still suffer from shear locking in thin limit cases. This locking is avoided here by following the assumed strain method. Membrane finite elements presented here are utilising rotational (drilling) degrees of freedom which are linked to the displacement fields. Physically correct implementation of the rotational degrees of freedom is achieved by satisfying the classical theory of elasticity definition of rotation. This approach is particularly convenient when used for the in-plane membrane part in the shell finite element formulation. All finite elements have been subjected to the so-called patch tests and tested on a variety of standard numerical examples, as well as compared with the finite elements used in the Finite Element Analysis Program (FEAP), in addition to other known finite elements from the literature.

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

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