scholarly journals Longitudinal Fracture Analysis of a Two-Dimensional Functionally Graded Beam

Author(s):  
V Rizov
Author(s):  
Milan Motta ◽  
Amit Sarda

A composite beam that exhibits variation of properties of a material which is created artificially as per a predefined function is a special category popularly termed as functionally graded beam. The notable part in such a variation in properties of material is that it can be in any of the three possibilities in any single, two dimensional direction or in all the three dimensional direction. It is quite possible to use the governing function in its standard or customized form as any researcher derives it. The nature of governing function of the properties of the graded beam is the reason behind the structural behaviour and the modal characteristic of a functionally graded beam as these two depends upon it. This research review focuses on a detailed examination of different governing equation which controls the variation of mechanical properties of a beam in different dimensional directions and their authority on structural and modal distinctiveness of the beam.


2018 ◽  
Vol 14 (2) ◽  
pp. 387-399
Author(s):  
Victor Rizov

Purpose The purpose of this paper is to present an analytical study of the delamination fracture behaviour of a multilayered two-dimensional functionally graded cantilever beam configuration. A delamination crack is located arbitrary along the height of the beam cross-section. The layers have different thicknesses and material properties. Perfect adhesion is assumed between layers. The material is functionally graded in both thickness and width directions in each layer. Besides, the material of the beam exhibits non-linear-elastic behaviour. Design/methodology/approach The delamination fracture behaviour is analysed in terms of the strain energy release rate. The J-integral approach is applied in order to verify the analysis of the strain energy release rate developed in the present paper. Findings The influence of material properties, the crack location along the height of the beam cross-section and the non-linear behaviour of the material on the delamination fracture is examined. Originality/value A non-linear delamination fracture analysis of multilayered two-dimensional non-symmetric functionally graded beam configuration is developed.


2011 ◽  
Author(s):  
Y. D. Stoynov ◽  
Michail D. Todorov ◽  
Christo I. Christov

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