Reissner–Sagoci problem for a homogeneous coating on a functionally graded half-space

Matysiak, Stanisław J.; Kulchytsky-Zhyhailo, Roman; Perkowski, Dariusz M.

doi:10.1016/j.mechrescom.2011.03.010

Cited by 12 publications

(6 citation statements)

References 12 publications

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“…For the power (or exponential) law of variation of the heat conduction coefficient (or Young's modulus), the analytical methods of solutions are known Erdogan, 2004, 2006;Matysiak et al, 2011;Kulchytsky-Zhyhailo and Bajkowski, 2015). If the thermal and mechanical properties are described by other functions, obtaining analytical solutions encounters considerable mathematical difficulties.…”

Section: Introductionmentioning

confidence: 99%

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

Perkowski

Kulchytsky-Zhyhailo

Kołodziejczyk

2018

jtam

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The technique of integral Hankel transform to find the solution of heat conduction in half--space coated by a multilayered package of homogenous laminae is applied. The half-space is heated by the given heat flux on the boundary surface. The temperature and heat flux distribution in the radial direction is analyzed for two types of coatings: 1) when the heat conductivity coefficient is described by a power or exponential function of the distance to the boundary surface; 2) multilayered coating has a periodic structure.

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Section: Introductionmentioning

confidence: 99%

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

Perkowski

Kulchytsky-Zhyhailo

Kołodziejczyk

2018

jtam

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“…Some of recent studies of this type may be found in [16][17][18][19][20], and the ReissnerSagoci problem for an arbitrary functionally graded solid in [21].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional axisymmetric responses of exponentially graded transversely isotropic tri-materials under interfacial loading

et al. 2017

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Abstract. In this paper, an analytical formulation is presented to study an exponentially graded transversely isotropic tri-material under applied axisymmetric point-load and patchload with the aid of Hankel transform and use of a potential function. The given formulation is shown to be reducible to the special cases of (1) an inhomogeneous nite layer on a rigid base; (2) exponentially graded bi-material or half-space under applied buried loads; (3) homogeneous tri-material or bi-material solid. Several numerical solutions are presented to explain inhomogeneity e ect on the stress transfer process in the inhomogeneous threelayered medium by means of a fast and accurate numerical method.

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“…Ma et al [33] studied the sliding frictional contact of functionally graded magneto-electro-elastic materials with a flat punch. The study of the Reissner–Sagoci problem for arbitrary graded coatings resting on a homogeneous half-space may be found in [34] and for the homogeneous coating on a graded half-space, in [35].…”

Section: Introductionmentioning

confidence: 99%

The frictionless axial interaction of a rigid disk with a two-layered functionally graded transversely isotropic medium

Shahmohamadi

Khojasteh

Rahimian

et al. 2016

Mathematics and Mechanics of Solids

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A rigorous formulation is presented for the frictionless axisymmetric interaction of a rigid disk with a two-layered inhomogeneous medium. The materials are considered to be linearly elastic transversely isotropic materials and the exponential variation of properties along the depth of each layer is assumed in order to model the effect of inhomogeneity. The disk is considered to be at the top of the coating layer or embedded at the interface of the two media. By satisfying the boundary conditions, the problem leads to a dual integral equation and is reducible to a Fredholm integral equation of the second kind which is solved numerically. The numerical solutions survey the effect of material inhomogeneity through two special cases: a functionally graded coating on a homogeneous transversely isotropic half-space and a homogeneous transversely isotropic coating on an inhomogeneous half-space. The accuracy of the numerical solutions is verified by comparison with the corresponding solution for homogeneous material in the literature.

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Reissner–Sagoci problem for a homogeneous coating on a functionally graded half-space

Cited by 12 publications

References 12 publications

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

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

Three-dimensional axisymmetric responses of exponentially graded transversely isotropic tri-materials under interfacial loading

The frictionless axial interaction of a rigid disk with a two-layered functionally graded transversely isotropic medium

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