Thermoelastic state of a thermosensitive hollow sphere under the conditions of convective-radiant heat exchange with the environment

Popovych, V. S.; Harmatii, H. Yu.; Vovk, O. M.

doi:10.1007/s11003-006-0143-0

Cited by 8 publications

(5 citation statements)

References 2 publications

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“…, [10,12,33] Similarly, the plane strain field equation (20) obtained by using ( 10) and ( 16) to ( 18) in ( 11) and ( 12);…”

Section: Displacement Expression For Thermal Stressesmentioning

confidence: 99%

See 1 more Smart Citation

Study of Convective Heating in a Thermosensitive Functionally Graded Plate with Time-Fractional Heat Equation

Thakare¹,

Warbhe²

2022

SMSJ

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The proposed study emphasis on to examine the temperature and stress distribution on functionally graded thermosensitive rectangular plate. Caputo derivative of order 0 to 2 is applied to analyses the rectangular plate when subjected to the convection heat. Present article illustrated the methodology and the mathematical model opt for framing the expression to address the issues regarding the properties of ceramic based material affected by the temperature. The present article studied the Goodier’s displacement function and Boussinesq Harmonic functions for developing the mathematical model for the rectangular plate and other engineering applications.

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“…, [10,12,33] Similarly, the plane strain field equation (20) obtained by using ( 10) and ( 16) to ( 18) in ( 11) and ( 12);…”

Section: Displacement Expression For Thermal Stressesmentioning

confidence: 99%

“…, 2 7,10,35,36] Next, φ is Goodier's displacement function, Õ and ψ are the Boussinesq Harmonic functions used to express the solutions of ( 7) and (8) as…”

Section: Displacement Expression For Thermal Stressesmentioning

confidence: 99%

Study of Convective Heating in a Thermosensitive Functionally Graded Plate with Time-Fractional Heat Equation

Thakare¹,

Warbhe²

2022

SMSJ

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“…With the use of methods radiation heat transfer theory in a continuous medium are proposed variants of thermomechanics of homogeneous opaque solids under conditions of (convective-radiative) heat exchange [17][18][19] and semi-transparent by the thermal irradiation [20][21][22][23]. On their basis are formulated and produced a number of concrete problems for investigation of thermomechanical behavior of solids (in particular, temperature-sensitive, with impurities) of varying transparency, taking into account the effect of thermal radiation [17][18][19][20][21][22][24][25][26][27][28][29] and others. Apart from the mentioned works, some of the problem of thermoelastic state of semi-transparent solids under the impact of thermal radiation were considered in [30,31], and opaque in [32].…”

Section: Introductionmentioning

confidence: 99%

The formulation and development of methods of solving thermomechanics problems for irradiated layered solids

Gachkevich¹,

Terletskii²,

Hachkevych³

et al. 2017

Math. Model. Comput.

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A mathematical model to describe a thermoelastic state of plane-parallel plates (plate composites) subjected to a thermal radiation is developed. The model is grounded on phenomenological theory of radiation and quasistatic thermoelasticity. It takes into account an effect of radiation on plate surfaces, contact boundaries, and in semi-transparent areas. It is assumed a perfect contact between the constituents of layers that boundary contact is modeled on the plane surface defined on both sides of its radiation characteristics of the material layers and the conditions of heat and mechanical contacts are ideal. The methods to solve new nonlinear contact-boundaries problems of thermoelasticity are proposed. On analysing the posed problems solutions, the new features of temperature and stresses distributions in plates are established, dependent on radiative properties of layers, layer's thickness and on source temperature.

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“…In the paper [11] the wave fronts propagated in thermoelastic bodies with temperature dependent properties are analysed. Some problems of thermoelasticity for thermosensitive bodies are investigated in papers [12][13][14][15]. The authors assumed that the considered problems are axisymmetric or pointsymmetrical, so it is useful to introduce the cylindrical or spherical coordinates and to reduce the dimensions of the boundary value problems.…”

Section: Introductionmentioning

confidence: 99%

On temperature and stresses in a thermoelastic half-space with temperature dependent properties

2017

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The paper deals with the axisymmetric problem of the thermoelastic half-space with temperature dependent properties. The thermal coefficients: heat conductivity and coefficient of linear expansion are assumed to be functions of temperature. The mechanical properties: Young modulus and Poisson ratio are taken into account as constants. Two cases of boundary conditions are considered: a normal heat flux acting on a circle with given radius and two variants of the boundary conditions on the outside of the heated region: (1) a thermal insulation, or (2) a constant temperature, taken as reference. The boundary is assumed to be free of mechanical loadings. The linear dependences of thermal properties on temperature is considered as a special case. The obtained exact results are presented in the forms of multiple integrals and the detailed analysis are derived for linear dependences of the thermal properties on temperature.

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Thermoelastic state of a thermosensitive hollow sphere under the conditions of convective-radiant heat exchange with the environment

Cited by 8 publications

References 2 publications

Study of Convective Heating in a Thermosensitive Functionally Graded Plate with Time-Fractional Heat Equation

Study of Convective Heating in a Thermosensitive Functionally Graded Plate with Time-Fractional Heat Equation

The formulation and development of methods of solving thermomechanics problems for irradiated layered solids

On temperature and stresses in a thermoelastic half-space with temperature dependent properties

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