On axisymmetric heat conduction problem for multilayer graded coated half-space

Perkowski, Dariusz M.; Kulchytsky-Zhyhailo, Roman; Kołodziejczyk, Waldemar

doi:10.15632/jtam-pl.56.1.147

Cited by 11 publications

(7 citation statements)

References 23 publications

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“…In such structures, each layer or their combination has its functional purpose, in particular, anti-corrosion, anti-abrasion, heat protection, strengthening to inhibit and block crack growth, reduce porosity, provide a high degree of adhesion of the components [8][9][10][11][12][13][14]. Thanks to multilayers, it is also possible to increase the service life of structures, and their use can significantly reduce material intensity and cost and increase the endurance of products.…”

Section: Introductionmentioning

confidence: 99%

“…Due to the brittle nature of ceramics, there is a need for additional research into the applicability limits of such FGM structures [38][39][40]. The complexity of the geometry of structural elements and consideration of imperfections in the contact of their components stimulate the process of improving mathematical models of FGMs to ensure their qualitative design both in terms of mechanical strength [12][13][14][41][42][43][44][45][46][47][48][49][50][51][52][53][54] and in terms of consideration of thermal, magnetic, piezoelectric loading factors [47,48]. The use of the FGMs seems to be one of the most effective materials in the realization of sustainable development in industries.…”

Section: Introductionmentioning

confidence: 99%

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Deformation and Strength Parameters of a Composite Structure with a Thin Multilayer Ribbon-like Inclusion

Hutsaylyuk

Piskozub

et al. 2022

Materials

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: Within the framework of the concept of deformable solid mechanics, an analytical-numerical method to the problem of determining the mechanical fields in the composite structures with interphase ribbon-like deformable multilayered inhomogeneities under combined force and dislocation loading has been proposed. Based on the general relations of linear elasticity theory, a mathematical model of thin multilayered inclusion of finite width is constructed. The possibility of nonperfect contact along a part of the interface between the inclusion and the matrix, and between the layers of inclusion where surface energy or sliding with dry friction occurs, is envisaged. Based on the application of the theory of functions of a complex variable and the jump function method, the stress-strain field in the vicinity of the inclusion during its interaction with the concentrated forces and screw dislocations was calculated. The values of generalized stress intensity factors for the asymptotics of stress-strain fields in the vicinity of the ends of thin inhomogeneities are calculated, using which the stress concentration and local strength of the structure can be calculated. Several effects have been identified which can be used in designing the structure of layers and operation modes of such composites. The proposed method has shown its effectiveness for solving a whole class of problems of deformation and fracture of bodies with thin deformable inclusions of finite length and can be used for mathematical modeling of the mechanical effects of thin FGM heterogeneities in composites.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Deformation and Strength Parameters of a Composite Structure with a Thin Multilayer Ribbon-like Inclusion

Hutsaylyuk

Piskozub

et al. 2022

Materials

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“…For fulfilling specific industrial applications, FGMs have been widely used in structural elements such as beams, plates, and shells [14,15]. The preparation technology of FGMs is continually being improved [16][17][18], and the research on the microstructure [19][20][21], fracture [22][23][24], and mechanical properties [24][25][26][27] of functionally graded materials is gradually catching up.…”

Section: Introductionmentioning

confidence: 99%

Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials

Yan

2022

Crystals

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This paper studies a receding contact problem of a functionally graded layer laminate pressed against a functionally graded coated homogeneous half-plane substrate by a rigid flat indenter. The shear modulus of the functionally graded materials with a constant Poisson’s ratio is modeled by an exponential function which varies along the thickness direction. Both the governing equations and the boundary conditions of the receding contact problem are converted into a pair of singular integral equations using the Fourier integral transforms, which are numerically integrated by the Chebyshev–Gauss quadrature. The contact pressure and the contact size at both contact interfaces are eventually obtained iteratively, as developed from the steepest descent algorithm. Extensive parametric studies suggest that it is possible to regulate the contact pressure and contact size by constructing the top layer from a soft functionally graded material.

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“…Another approach is the analysis of heat flow using appropriate averaged methods, namely the homogenized model with microlocal parameters Matysiak [12], and Matysiak and Woźniak [13] or tolerance description [14]. In the case of approach based on homogenization with microlocal parameters, as shown in Matysiak et al [15] and Perkowski et al [16] it can be used for composites with a micro-periodic structure. The model homogenized with microlocal parameters has been widely applied to solve a number of issues in solid thermomechanics [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Heat Conduction Problems in a Homogeneous Pipe with Inner Nonhomogeneous Coating

Kulchytsky-Zhyhailo¹,

Matysiak²,

Perkowski³

2021

IJHT

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The paper deals with the analysis of nonhomogeneous inner coatings for a homogeneous pipe with respect of heat loss from the outer pipe surface. Two kinds of the coatings in the form of ring layers are considered: (1º) with the thermal properties changing continuously along the coating thickness (called the coating A), (2º) multilayered coatings with piecewise continuous thermal properties (called the coatings B). The analysis is connected with the stationary heat conduction problems. Some special cases of the coatings A and B are investigated. The obtained analytical results and the comparison of the coatings are presented.

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On axisymmetric heat conduction problem for multilayer graded coated half-space

Cited by 11 publications

References 23 publications

Deformation and Strength Parameters of a Composite Structure with a Thin Multilayer Ribbon-like Inclusion

Deformation and Strength Parameters of a Composite Structure with a Thin Multilayer Ribbon-like Inclusion

Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials

Heat Conduction Problems in a Homogeneous Pipe with Inner Nonhomogeneous Coating

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