engleski

Higher-Order Linked Interpolation in Moderately Thick Plate and Facet Shell Finite Elements

In here proposed thesis, the use of higher-order linked interpolation in the design of plate and facet shell finite elements is analysed for elastic behavior. In the Timoshenko (thick) beam elements linked interpolation completely eliminates the shear-locking problem and is capable of returning the exact result for arbitrary polynomial loading. Here, the basis for development of higher-order Mindlin plate and shell elements is found in the analogy between the Timoshenko beam theory and the Mindlin plate theory. The aim of the proposed thesis is to validate the approach not only on low-order elements, which has been already extensively studied by various authors, but also on higher-order elements to improve the accuracy of the method and to demonstrate that they are competitive to other elements from literature. The results obtained on standard test examples are compared and numerically assessed against the reference results from literature and from the finite-element programme FEAP, using various mesh densities and various order of interpolation. On this basis, the new family of facet shell elements are also developed, analysed, compared and assessed against the elements from literature.

Finite element method; Mindlin plate theory; linked interpolation; higher-order elements; shell elements

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