The Equivalent Material Concept in Functionally Graded Plates Calculus | Chapter 3 | Theory and Applications of Engineering Research Vol. 1

 Functional sorted materials are collected of two extremely dissimilar fabrics whose properties change continuously, in accordance with a material regulation, with respect to their girth (beam or plate). The concept of equivalent material involves the substitute of the given material of slab marking baseball home, with an homogeneous and isotropic material, accompanying the same lines characteristics (shape and dimensions), accompanying the same load, that leads to the same behavior of the likely plate. This chapter aims to supply a way to solve a complicated situation (mathematical and fundamental), as in the case of FGM plates, with available means, arising out of the analytical arithmetic, but especially with the mathematical one, accompanying known professional numerical programs, accompanying common definite elements, with some others mathematical methods (e.g. Element Free Galerkin Method), outside intervention in the building of the program, in the finite element forms, in other words outside dedicated calculation programs. additional, the concept of equivalent material has a large size of generality, being able expected used two together in the calculation of slabs, but also of additional structures (beams, tubes accompanying thick walls, disks in turning motion, etc.). This concept - equivalent material - maybe successfully used two together in static and vital analysis of structures.  Thus, the use of the idea of equivalent material is exemplified for one calculus regarding the transverse dislocation and the modal analysis of a functionally sorted plate. The concept of the calculus approach (equivalent material), the models and the methods are valid for some type of load, different geometries of the plate and matters that are the basis for the achievement of the functionally graded material. The finite fundamental approach is used in this place chapter  with the Ansys program and individual of the most famous finite elements, the 3D Solid185 material, in both the average (structural) and multilayer finite factor versions.

Author(s) Details:

V. Nastasescu,
Military Technical Academy “Ferdinand I”, Bucharest, Romania.

S. Marzavan,
Military Technical Academy “Ferdinand I”, Bucharest, Romania.

Please see the link here: https://stm.bookpi.org/TAER-V1/article/view/12557