A spectrally formulated finite element for wave propagation analysis in functionally graded beams

Chakraborty, A.; Gopalakrishnan, S.

doi:10.1016/s0020-7683(03)00029-5

Cited by 165 publications

(60 citation statements)

References 20 publications

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“…However, there is an area related to modelling of the phenomenon of elastic wave propagation in functional elements composed of several materials such as, for example, functionally graded material (FGM) elements. This subject has been analysed by [116], where the FDSFEM has been employed to model the behaviour of wave propagating in a functionally graded (FG) beam subjected to high frequency impulse loading, which can be either thermal or mechanical. The element, based on the first order shear deformation theory, has exact dynamic stiffness matrix and it takes into account depthwise variation of material properties.…”

Section: Wave Propagation In 1d Elementsmentioning

confidence: 99%

Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

Palacz

2018

Applied Sciences

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Modern methods of detection and identification of structural damage direct the activities of scientific groups towards the improvement of diagnostic methods using for example the phenomenon of mechanical wave propagation. Damage detection methods that use mechanical wave propagation in structural components are extremely effective. Many different numerical approaches are used to model this phenomenon, but, due to their universal nature, spectral methods are the most commonly used, of which there are several types. This paper reviews recent research efforts in the field to show basic differences and effectiveness of the two most common spectral methods used for modelling the wave propagation problem in terms of damage detection.

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Section: Wave Propagation In 1d Elementsmentioning

confidence: 99%

Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

Palacz

2018

Applied Sciences

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“…The last step is a sintering. By this method, the FGM fabricated usually have the stepwise structure 5 and it is difficult to produce the FGM with a continuous gradient. An example of natural transport phenomena method is a centrifugal method.…”

Section: Functionally Graded Materialsmentioning

confidence: 99%

Sustainable Development Through Functionally Graded Materials – An Overview

2017

Rasayan J Chem

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Composite materials have contributed to a very large extent in solving these complex challenges. The reinforcement phase in composite materials is distributed uniformly, which results in homogenous properties. Recently the concept of functionally graded material (FGM) has arisen, where a new composite material is developed by varying the microstructure from one material to another material with a specific gradient. Functionally graded material (FGM) is a type of material whose composition is designed to change continuously within the solid. Hence it becomes a composite material with good specifications of both materials. The use of structures like beams, plates and shells, which are made from FG materials, is increasing because of smooth variation of material properties along preferred directions. This variation provides continuous stress distribution in the FG structures. Therefore an FGM can be effectively used in avoiding corrosion, fatigue, fracture and stress corrosion cracking. This paper presents a review of the recent developments in research carried out in FGMs. A detailed study of types of FGMs depending on nature of gradient is presented. Discussions are also made about the effective utilization of FGMs for sustainable development. In this regard, the focus is made in understanding the specific application of FGMs in civil engineering.

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“…Note that in the case of homogeneous materials the general prob lem decouples into the extension torsion problem and the bend ing shear problem, see [21]. The relations of identification (10) and (11), written for straight rods, become…”

Section: Straight Rodsmentioning

confidence: 99%