The radially nonhomogeneous thermoelastic axisymmetric problem

Stampouloglou, I. H.; Theotokoglou, Efstathios E.

doi:10.1016/j.ijmecsci.2016.11.010

Cited by 6 publications

(4 citation statements)

References 29 publications

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“…The relationship between the elastic modulus of the lining and the radial coordinate was assumed as follows [24,26]:…”

Section: Solution For Lining Zone Imentioning

confidence: 99%

“…The mechanical properties of functionally graded materials vary in one or more directions [21]. In the existing analytical model [22][23][24], the Poisson's ratio is assumed to be constant and the modulus of elasticity is expressed as a function of the radial coordinate, which is either linear [25], exponential [22], or power-law [26]. Based on the above functions, the solutions for the displacement and stress of different functionally graded structures manufactured with corresponding materials can be deduced [27,28].…”

Section: Introductionmentioning

confidence: 99%

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Elasto-Plastic Solution for a Circular Lined Tunnel Considering Yield Criteria for Surrounding Rock and Functionally Graded Lining in Cold-Region Tunnels

Zhang

Wang

2023

Sustainability

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Tunnel construction plays an important role in the sustainable development of the socio-economic framework of the country. With the rapid development of the economy and the expansion of the transportation network in western China, numerous tunnels will inevitably be constructed in cold regions in the future. In order to analyze the mechanical properties of lined tunnels in cold regions from a new theoretical perspective, an elasto-plastic mechanical model of a circular lined tunnel is proposed, considering several yield criteria for the surrounding rock and the functionally graded feature of the lining. The proposed model is compared with an existing model and test results obtained by other researchers, and a satisfactory agreement is obtained. The influence of the main model parameters on the plastic zone, the radial pressure acting on the outer surface of the lining, and the stress and displacement fields is further explored. The circumferential stresses in the lining zone calculated using the DP3 criterion are the largest, and the ones with the MO criterion are the smallest. The influence of the yield criterion on the displacement fields in the frozen zone decreases with the increase in the distance from the tunnel. The circumferential stresses and radial displacements in the lining zone and frozen zone increase with the increase in the radial pressure acting on the inner surface of the lining. The research results can provide useful insight into the design and construction of tunnels in cold regions.

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“…The relationship between the elastic modulus of the lining and the radial coordinate was assumed as follows [24,26]:…”

Section: Solution For Lining Zone Imentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Elasto-Plastic Solution for a Circular Lined Tunnel Considering Yield Criteria for Surrounding Rock and Functionally Graded Lining in Cold-Region Tunnels

Zhang

Wang

2023

Sustainability

View full text Add to dashboard Cite

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“…Kansal and Parvez [23] dealt with the stress analysis on orthotropic graded rotating annular uniform disks subjected to temperature distributions parabolically decreasing with radius. Lately, Stampouloglou and Theotokoglou [24] analyzed the radially nonhomogeneous thermoelastic axisymmetric problem in a hollow isotropic circular cylinder with a radially varying shear modulus and a constant Poisson's ratio, without internal and external loads, under on a radius depending temperature field.…”

Section: Introductionmentioning

confidence: 99%

Exact Axisymmetric Thermal Analysis of Functionally Graded Disks with Continuously Hyperbolically Varying Thickness

Yıldırım

2020

International Journal of Engineering Technologies IJET

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An exact thermal analysis of radially functionally graded (FG) disks with continuously varying thickness is performed by steady-state 1-D Fourier heat conduction equation at specific surface temperatures. By employing a simple-power material grading pattern together with the convergent/divergent hyperbolic disk profiles, the differential equation is obtained in the form of Euler-Cauchy type. Analytical solution of the differential equation gives the temperature field and heat flux distributions in the radial direction in a closed form. A numerical study is conducted to visualize both the temperature and heat flux variations with respect to the disk profile parameter for hyperbolic disks made of SUS-304 /ZrO2 (Stainless steel/Zirconium oxide) metalceramic pairs. Those exact expressions are also used to study parametrically the effects of both the inhomogeneity and profile parameters on the temperature field of the disks made of hypothetic FG metal-ceramic pairs. It is revealed that heat conduction behavior of such disks is strictly affected from the variation of both inhomogeneity and disk profile parameters.

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“…Thermal-related analyses of uniform disks made of anisotropic materials [11][12][13][14][15][16][17][18][19] and functionally graded materials [20][21][22][23][24][25][26][27][28] are other investigation themes. Unfortunately, the number of studies on the thermal/thermal related analysis of variable thickness disks made of either functionally graded (FG) materials [29][30][31][32][33][34][35][36][37][38][39][40][41][42] or traditional materials [43][44][45][46] are not enough.…”

Section: Introductionmentioning

confidence: 99%

Closed-Form Formulas for Hyperbolically Tapered Rotating Disks Made of Traditional Materials under Combined Thermal and Mechanical Loads

Yıldırım

2018

International Journal of Engineering and Applied Sciences

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Using the true temperature distribution along the radial coordinate, closed-form formulas are offered for readers to study the thermo-mechanical behavior of variable thickness disks having both convergent and divergent hyperbolic thickness profiles made of conventional materials. Internal and external pressures, centrifugal forces and thermal loads due to the differences in prescribed surface temperatures are all considered with three boundary conditions: free-free (a circular annulus), fixed-free (a disk mounted on a rotating shaft at the inner surface), and fixed-fixed (a disk mounted on a rotating shaft at the inner surface and cased at the outer surface) boundary conditions. A parametric study is also conducted in almost real working environment in which the outer surface of the disk has considerably higher temperature rather than the inner surface. The thermomechanical linear elastic response of a hyperbolic mounted rotating disk subjected to the external pressure induced by blades is originally handled by those proposed formulas.

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The radially nonhomogeneous thermoelastic axisymmetric problem

Cited by 6 publications

References 29 publications

Elasto-Plastic Solution for a Circular Lined Tunnel Considering Yield Criteria for Surrounding Rock and Functionally Graded Lining in Cold-Region Tunnels

Elasto-Plastic Solution for a Circular Lined Tunnel Considering Yield Criteria for Surrounding Rock and Functionally Graded Lining in Cold-Region Tunnels

Exact Axisymmetric Thermal Analysis of Functionally Graded Disks with Continuously Hyperbolically Varying Thickness

Closed-Form Formulas for Hyperbolically Tapered Rotating Disks Made of Traditional Materials under Combined Thermal and Mechanical Loads

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