Related Experiment Video
Updated: Jan 21, 2026

Sandwich-like Microenvironments to Harness Cell/Material Interactions
Published on: August 4, 2015
Three-Dimensional Free Vibration Analysis of Thermally Loaded FGM Sandwich Plates
Vyacheslav N Burlayenko1, Tomasz Sadowski2, Svetlana Dimitrova3
1Department of Applied Mathematics, National Technical University 'Kharkiv Polytechnic Institute', 2 Kyrpychova Str., 61002 Kharkiv, Ukraine. burlayenko@yahoo.com.
Abstract:
Using the finite element code ABAQUS and the user-defined material utilities UMAT and UMATHT, a solid brick graded finite element is developed for three-dimensional (3D) modeling of free vibrations of thermally loaded functionally gradient material (FGM) sandwich plates. The mechanical and thermal material properties of the FGM sandwich plates are assumed to vary gradually in the thickness direction, according to a power-law fraction distribution. Benchmark problems are firstly considered to assess the performance and accuracy of the proposed 3D graded finite element. Comparisons with the reference solutions revealed high efficiency and good capabilities of the developed element for the 3D simulations of thermomechanical and vibration responses of FGM sandwich plates. Some parametric studies are carried out for the frequency analysis by varying the volume fraction profile and the temperature distribution across the plate thickness.
Related Concept Videos
Dimensional Analysis
Conversion Factors and Dimensional Analysis
The unit...
Dimensional Analysis
In fluid mechanics, dimensional...
Dimensional Analysis
Dimensional analysis allows us to analyze and compare physical quantities on a...
Dimensional Analysis
Vibrating Concrete
Problem Solving: Dimensional Analysis

