Free vibrations and static analysis of functionally graded sandwich plates with three-dimensional finite elements

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Ескіз

Дата

2020

ORCID

DOI

Науковий ступінь

Рівень дисертації

Шифр та назва спеціальності

Рада захисту

Установа захисту

Науковий керівник

Члени комітету

Видавець

Анотація

A three-dimensional modelling of free vibrations and static response of functionally graded material (FGM) sandwich plates is presented. Natural frequencies and associated mode shapes as well as displacements and stresses are determined by using the finite element method within the ABAQUSTM code. The three-dimensional (3-D) brick graded finite element is programmed and incorporated into the code via the user-defined material subroutine UMAT. The results of modal and static analyses are demonstrated for square metal-ceramic functionally graded simply supported plates with a power-law through-the-thickness variation of the volume fraction of the ceramic constituent. The through-the-thickness distribution of effective material properties at a point are defined based on the Mori-Tanaka scheme. First, exact values of displacements, stresses and natural frequencies available for FGM sandwich plates in the literature are used to verify the performance and estimate the accuracy of the developed 3-D graded finite element. Then, parametric studies are carried out for the frequency analysis by varying the volume fraction profile and value of the ceramic volume fraction.

Опис

Ключові слова

functionally graded materials, sandwich plates, 3-D brick graded finite element, static analysis, frequency analysis

Бібліографічний опис

Burlayenko N. V. Free vibrations and static analysis of functionally graded sandwich plates with three-dimensional finite elements [Electronic resource] / N. V. Burlayenko, T. Sadowski. – Kharkiv, 2020. – 22 p. – (Preprint / National Technical University "Kharkiv Polytechnic Institute"). – URI: http://repository.kpi.kharkov.ua/handle/KhPI-Press/43824