Modeling of thermomechanical fracture of functionally graded materials with respect to multiple crack interaction

Petrova, Vera; Schmauder, Siegfried

doi:10.1134/s1029959917030018

Cited by 16 publications

(9 citation statements)

References 20 publications

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“…For this reason, we considered a thermomechanical analysis to compute the behavior of the FGPM nanobeam, which is submitted to a free vibration. It was reported in literature the importance of considering the thermo-mechanical hypothesis in numerical models 17–21 for exploring the behavior of the studied materials. Considering a thermo-electro-mechanical modeling of free vibration of the FGPM nanobeam makes it possible to take into account the effect of temperature on the natural frequencies.…”

Section: Introductionmentioning

confidence: 99%

Thermo-electro-mechanical dynamic and free vibration analysis of FGPM nanobeam with initial stress

Kammoun

Féki

Hentati

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part E:

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Currently, nanostructures such as nanobeams, nanomembranes and nanoplates have been a hot area of research triggering. The contribution of this research article deals with both the effect of the free and dynamic vibration of a nanobeam as well as the use of the FGM material by integrating the piezoelectric effect. In fact, incorporating the initial stress for a nanoscale beam has not been considered yet. This paper displays an analysis of dynamic and free vibration of power-law functionally graded piezoelectric materials (FGPM) subjected to thermal-electro-mechanical loads with initial stress. The model was resolved based on nonlocal Timoshenko beams theory. The dimensionless fundamental frequency gradually improved with the new configuration of the FGPM nanobeam by 5% compared to the FGM nanobeam. The accuracy of this model is highlighted via numerical examples for different boundary conditions. To solve the governing equations, the polynomial differential quadrature method (PDQM) was elaborated and resolved numerically using MATLAB. For various configurations of the FGPM nanobeams, the effect of scaling parameters, volume fraction and slenderness ratios were discussed. In addition, for different edge conditions, variations of the first four frequencies with volume fraction indices and for different scaling parameters were set forward. This study corroborated that the power exponent, nonlocal parameter, slenderness ratio and thermo-electro-mechanical loads have significant effects on the dimensionless frequencies of various FGPM nanobeams. The present work provides an enlightening as guideline for the draft of a nanoscale beams based thermo-electro-mechanical actuators.

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Section: Introductionmentioning

confidence: 99%

Thermo-electro-mechanical dynamic and free vibration analysis of FGPM nanobeam with initial stress

Kammoun

Féki

Hentati

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part E:

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“…The present work is devoted to the thermal fracture problem for a functionally graded coating on a homogeneous substrate (FGM/H). The model presented in authors' previous papers [17][18][19][20] is used in this study in an extension to a special crack system. The present FGC/H structure contains a pre-existing system of cracks in the FGC.…”

Section: Introductionmentioning

confidence: 99%

Thermal fracture of functionally graded thermal barrier coatings with pre-existing edge cracks and multiple internal cracks imitating a curved interface

Petrova

Schmauder

2021

Continuum Mech. Thermodyn.

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This work is devoted to the problem of thermal fracture of a functionally graded coating on a homogeneous substrate (FGC/H) with an emphasis on the analysis of a special system of cracks that simulates a curved interface. The FGC/H structure contains the pre-existing crack system in the FGC, both edge cracks (which are often seen in FGC/H structures) and internal cracks. The stress intensity factors are calculated. (Generally, both Mode I and Mode II are nonzero.) Then, using the appropriate fracture criterion for mixed-mode fracture conditions, the crack propagation direction (so-called fracture angles) and critical loads, when this propagation is initiated, are determined. The application of fracture criteria requires knowledge of the fracture toughness near the crack tips. Thus, it is assumed that the fracture toughness of an FGC, as well as other material properties, continuously varies through the thickness of the coating. For multiple cracks, it is also important to know the weakest crack that starts to propagate first, and the initial direction of this growth. Therefore, the main attention is paid to the evaluation of the fracture angles for the cracks for different parameters of the FGC/H structure. Both cases of a homogeneous semi-infinite medium with a system of cracks imitating a curved interface and FGC/H structures with identical crack systems are studied.

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“…In this respect, many studies have been performed to estimate the thermal-mechanical behaviour of FGM plates including fracture, e.g. [15][16][17][18][19][20] among of the latest. On the other hand, the analysis of free vibrations and static response of FGM plates is of primary importance for their performance assessment.…”

Section: Introductionmentioning

confidence: 99%

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

Burlayenko

2019

Meccanica

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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 ABAQUS TM 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.

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Modeling of thermomechanical fracture of functionally graded materials with respect to multiple crack interaction

Cited by 16 publications

References 20 publications

Thermo-electro-mechanical dynamic and free vibration analysis of FGPM nanobeam with initial stress

Thermo-electro-mechanical dynamic and free vibration analysis of FGPM nanobeam with initial stress

Thermal fracture of functionally graded thermal barrier coatings with pre-existing edge cracks and multiple internal cracks imitating a curved interface

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

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