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Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder

Eker Mehmet, Yarımpabuç Durmu, Yıldırım Ali, Çelebi Kerimcan

Journal of Applied Mathematics and Computational Mechanics

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2020

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Vol. 19, nr 4

57--68

EN

In this paper, an elastic analysis of a thick-walled functionally graded cylinder subjected to internal pressure is examined. Material properties for the isotropic material are estimated to obey the Mori-Tanaka homogenization scheme through the thickness. The resulting two-point irregular boundary value problem is solved by the pseudospectral Chebyshev method that converts the boundary value problem to the system of equations, which can be solved by any appropriate decomposition method. Benchmark solutions are used to validate the method. The effect of the arbitrarily chosen volume fraction index is demonstrated for stress and displacement distributions. The effective stresses for different inner radius and volume fraction index are also discussed.

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Zagadnienie zakrzywionej anizotropowej oraz funkcjonalnie gradowanej powłoki poddanej działaniu pola temperatury

Szubartowski D.

Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika

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2018

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z. 90 [298], nr 2

237--244

PL

Praca dotyczy problematyki zakrzywionej powłoki wykonanej z anizotropowego materiału o funkcyjnej gradacji. W rachunku wykorzystano koncepcję tensora krzywizny Riemanna-Christoffela wzbogaconą o wpływ pola temperatury przez obecność tensora właściwości termicznych. W ramach wykonanych obliczeń różnica wektora poddanego koneksji afinicznej wzdłuż infinitezymalnego czworokąta wyraża się, zależnie od drogi przejścia, sumą zarówno efektu geometrycznego, reprezentowanego tensorem krzywizny Riemanna-Christoffela, jak również efektu termicznego wyrażonego przez symbol krzywizny termicznej.

EN

This work concerns the problem of a curvilinear shell made of anisotropic material with functional gradation. The calculus is based on the concept of the Riemann-Christoffel curvature tensor enhanced by the influence of temperature field through the presence of a thermal tensor. Calculations comprise estimation of the difference of a vector subjected to the affine connection along the infinitesimal quadrangle expressed, correspondingly to the shifting path, by a sum of both the geometric effect, represented by the Riemann-Christoffel curvature tensor, as well as certain symbol of the thermal curvature.

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Structure and properties of FGM manufactured on the basis of HS6-5-2

Matula G., Dobrzański L. A.

Journal of Achievements in Materials and Manufacturing Engineering

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2006

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Vol. 17, nr 1-2

101--104

EN

Purpose: It has been demonstrated in the paper structure and properties of tool gradient materials manufactured by powder metallurgy on the basis of high speed-steel HS6-5-2 type. Design/methodology/approach: Light microscope, SEM, image analysis, microhardness tests, density examination. Findings: Basing on the investigations of the HS6-5-2 type high-speed steels reinforced with ceramics particles fabricated with Powder Metallurgy it was found that density of sintered samples depend on reinforced particles, temperatures and atmosphere of sintering. Increasing of sintering temperature increase the density of sintering samples. Moreover the sintering under N2-10%H2 atmosphere produce samples with higher quality than using argon atmosphere and prevent of surface oxidation during sintering. Practical implications: The Powder Metallurgy gives the possibility to manufacturing tools gradient materials on the basis of high speed-steel which characterised very high hardness on the surface. Originality/value: In the paper the manufacturing of tool gradient materials on basis of high speed-steel reinforced with hard ceramics particles carried out in order to improve the tool cutting properties.