Effect of Material Properties in the Direct and Inverse Thermomechanical Analyses of Multilayer Functionally Graded Solids

Кушнір, Р. М.; Yasinskyy, Anatoliy; Tokovyy, Yu. V.

doi:10.1002/adem.202100875

Cited by 17 publications

(9 citation statements)

References 40 publications

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“…In the literature, many works deal with stress states under the influence of temperature fields for various types of considered bodies, e.g., an empty cylinder [7], plates [8] or a sphere [9,10]. For the analysis of such problems, the methods used methods should allow to determine distributions of temperature, displacement, heat flux and stress with sufficiently high accuracy.…”

Section: Introductionmentioning

confidence: 99%

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On Some Thermoelastic Problem of a Nonhomogeneous Long Pipe

Kulchytsky-Zhyhailo¹,

Matysiak²,

Perkowski³

2021

IJHT

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The paper deals with the thermoelastic problem of a multilayered pipe subjected to normal loadings on its inner surface and temperature differences on its internal and external surfaces. Two types of nonhomogeneous pipe materials of pipe are considered: (1) a ring-layered composite composed of two repeated thermoelastic solids with varying thickness and (2) a functionally graded ring layer. The ring-layered pipe with periodic structure is investigated by using the homogenized model with microlocal parameters. A homogenization approach is proposed for the modelling of the FGM pipe. The analysis of obtained circumferential, radial and axial stress is presented in the form of figures and discussed in detail. It was shown that the proposed approach to the homogenization allows us to correctly calculate the averaged characteristics in the representative cell (the macro-characteristics) and also the characteristics dependent on the choice of the component in the representative cell (the micro-characteristics) for both microperiodic composites and functionally graded materials.

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Section: Introductionmentioning

confidence: 99%

“…Figure 5. The scheme of considered problem Consider the possibility of applying of the relations (6) and(10) to the description of the gradient body. Eqns.…”

mentioning

confidence: 99%

On Some Thermoelastic Problem of a Nonhomogeneous Long Pipe

Kulchytsky-Zhyhailo¹,

Matysiak²,

Perkowski³

2021

IJHT

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“…The natural frequencies of FG plates are calculated as functions of aspect ratios, volume fractions, and elastic boundaries. Kushnir et al, [ 40 ] studied the importance of material inhomogeneity on temperature and stress distributions in multilayer FG hollow sphere and based on finite difference method, the inverse thermo‐elasticity problem was solved. Hetnarski and Eslami [ 41 ] analyzed thermal stresses based on advanced theories such as theory of elasticity, thermodynamics, and advanced methods of applied mathematics, and finally performed the thermal stresses in beams, disks, cylinders, spheres, and pipes made of FGMs.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Temperature, Displacement, and Stress in Shafts Made of Functionally Graded Materials with Various Grading Laws

Gayen

2021

Adv Eng Mater

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The basic understanding of the mechanics of materials, and the development of new and advanced materials have always been a key challenge over the last few decades. Recently, material scientists and engineers have recognized the potential use of innovative materials based on economic and structural performance. Functionally graded materials (FGMs) are highperforming, multifunctional, microscopically heterogeneous advanced engineering materials made of two or more constituent phases with continuous and smooth variation of composition in any predefined direction with different material gradation laws to achieve desired superior thermo-elastic material properties. Historically, Bever and Duwez [1] and Shen and Bever [2] first proposed the concept of gradation in a material composition for composites and polymeric materials in 1972. However, their works had limited impact, probably due to the lack of suitable production methods of FGMs during that time. The first practical application of FGMs was performed by Japanese material scientists to prepare advanced ultrahigh temperature-resistant structural and functional materials in 1984, and later this was reported by Koizumi. [3] FGMs were originally developed specially for aerospace structures and fusion reactors under high operating temperature. Later, applications of FGMs have been expanded widely in engineering fields and modern technology such as high-temperature environments, heat exchanger tubes, components of chemical plants, biomedical implants, and sports.There have been few works reported in literature in the broad area of design of FGMs and analysis of structures made of FGMs. Suresh and Mortensen [4] and Miyamoto et al., [5] reported a comprehensive manufacturing process based on the selection of materials, gradient patterns, and geometry of materials to fabricate FGMs and also discussed its successful applications. Naebe and Shirvanimoghaddam, [6] Markworth et al. [7] and Gupta and Talha [8] reported an overview of material selection, fabrication methods, characterization, modeling, and analysis of FGMs. Birman and Byrd [9] conducted theoretical developments of FGMs with an emphasis of studies on heat transfer issues, stress, stability, dynamic and fracture analyses, manufacturing, design, and applications. Gasik [10] performed a micromechanic study of components made of FGMs by providing the simplest model which estimated the most accurate material properties without using any vast computational methods. Niendorf [11] obtained FG alloys using additive manufacturing techniques such as selective electron beam melting and selective laser melting processes with computer-aided design. Elishakoff et al. [12] studied the manufacturing process and estimation of effective material properties of FGMs, and performed static and dynamic modeling of FG structures with variable material parameters.

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“…Moreover, the solution is given in the form of explicit expressions on the loadings. These features make it quite attractive for the identification, inverse, and optimization algorithms [ 29 ].…”

Section: Introductionmentioning

confidence: 99%

Elastic and Thermoelastic Responses of Orthotropic Half-Planes

et al. 2021

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A unified approach is presented for constructing explicit solutions to the plane elasticity and thermoelasticity problems for orthotropic half-planes. The solutions are constructed in forms which decrease the distance from the loaded segments of the boundary for any feasible relationship between the elastic moduli of orthotropic materials. For the construction, the direct integration method was employed to reduce the formulated problems to a governing equation for a key function. In turn, the governing equation was reduced to an integral equation of the second kind, whose explicit analytical solution was constructed by using the resolvent-kernel algorithm.

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Effect of Material Properties in the Direct and Inverse Thermomechanical Analyses of Multilayer Functionally Graded Solids

Cited by 17 publications

References 40 publications

On Some Thermoelastic Problem of a Nonhomogeneous Long Pipe

On Some Thermoelastic Problem of a Nonhomogeneous Long Pipe

Analysis of Temperature, Displacement, and Stress in Shafts Made of Functionally Graded Materials with Various Grading Laws

Elastic and Thermoelastic Responses of Orthotropic Half-Planes

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