Generalized Thermoelasticity for an Infinite Body with a Circular Cylindrical Hole

Furukawa, Toshio; Noda, Naotake; Ashida, Fumihiro

doi:10.1299/jsmea1988.33.1_26

Cited by 21 publications

(25 citation statements)

References 2 publications

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“…Erbay and Suhubi [19] studied longitudinal wave propagation in an infinite circular cylinder, which is assumed to be made of the generalized thermoelastic material, and thereby obtained the dispersion relation when the surface temperature of the cylinder was kept constant. Generalized thermoelasticity problems for an infinite body with a circular cylindrical hole and for an infinite solid cylinder were solved respectively by Furukawa et al [21]. A problem of generalized thermoelasticity was solved by Sherief [36] by adopting the state-space approach.…”

Section: Introductionmentioning

confidence: 99%

State-space approach of two-temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading

Youssef

Al-Harby

2007

Arch Appl Mech

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In this work, we will consider an infinite elastic body with a spherical cavity and constant elastic parameters. The governing equations are taken in the context of the two-temperature generalized thermoelasticity theory (Youssef in J Appl Math Mech 26(4):470-475 2005a, IMA J Appl Math, pp 1-8, 2005). The medium is assumed initially quiescent. Laplace transform and state space techniques are used to obtain the general solution for any set of boundary conditions. The general solution obtained is applied to a specific problem when the bounding plane of the cavity is subjected to thermal loading (thermal shock and ramp-type heating). The inverse Laplace transforms are computed numerically using a method based on Fourier expansion techniques. Some comparisons have been shown in figures to estimate the effect of the two-temperature and the ramping parameters.

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Section: Introductionmentioning

confidence: 99%

State-space approach of two-temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading

Youssef

Al-Harby

2007

Arch Appl Mech

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“…Erbay and Suhubi [12] studied longitudinal wave propagation in an infinite circular cylinder, which is assumed to be made of the generalized thermoelastic material, and thereby obtained the dispersion relation when the surface temperature of the cylinder is kept constant. GTE problems for an infinite body with a circular cylindrical hole and for an infinite solid cylinder were solved, respectively, by Furukawa et al [13,14]. A problem of GTE was solved by Sherief [15] by adopting the state-space approach.…”

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confidence: 99%

Problem of generalized thermoelastic infinite medium with cylindrical cavity subjected to a ramp-type heating and loading

Youssef

2006

Arch Appl Mech

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This paper presents the problem of thermoelastic interactions in an elastic infinite medium with cylindrical cavity at an elevated temperature field arising out of a ramp-type heating and loading bounding surface of the cavity, and the surface is assumed initially quiescent. The governing equations are taken in a unified system from which the field equations for coupled thermoelasticity as well as for generalized thermoelasticity can be easily obtained as particular cases. Due attention has been paid to the finite time of rise of temperature, stress, displacement, and strain. The problem has been solved analytically using a direct approach. The derived analytical expressions have been computed for a specific situation. Numerical results for the temperature distribution, thermal stress, displacement, and strain are represented graphically. A comparison is made with the results predicted by the three theories.

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“…At present, there are two theories of the generalized thermoelasticity: the first is proposed by Lord and Shulman (15) , the second is proposed by Green and Lindsay (16) . The problems of an infinite body with cylindrical hole were solved by us individually using those theories and the maximum thermal stresses increased (17), (18) . We used the fundamental equations of generalized thermoelasticity introduced by Noda et al (19) , which include the Lord-Shulman (L-S) theory and Green-Lindsay (G-L) theory, and analyzed the one-and two-dimensional problems for plate, for example.…”

Section: Introductionmentioning

confidence: 99%

Effect of Finite Velocity of Thermal Wave on Stress Focusing Phenomena

Furukawa

Sueyoshi

2010

JMMP

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When an isotropic and homogeneous solid sphere and/or infinitely long solid cylinder are suddenly subjected to an instantaneous uniform heating, a stress wave occurs at the moment thermal impact is applied. The stress wave proceeds radially inward to the center of a sphere and/or cylinder. The wave may accumulate at the center and give rise to very large stress magnitudes, even though the initial thermal stress is relatively small. This phenomenon is called the stress-focusing effect. In this study, the stress focusing effect in a solid sphere and solid cylinder under instantaneous uniform heating at the free surface is studied on the basis of the generalized thermoelastic theories, that is, the Lord-Shulman (L-S) and the Green-Lindsay (G-L) theories. The combined governing equations of both theories are solved by the numerical inversion of Laplace transform. Calculations have been performed to exhibit the radial distributions and time variations of the radial and hoop thermal stresses on the basis of the L-S theory. The effects of the thermomechanical coupling and the relaxation time on the stress focusing phenomena as well as the singularity of stresses are discussed.

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Generalized Thermoelasticity for an Infinite Body with a Circular Cylindrical Hole

Cited by 21 publications

References 2 publications

State-space approach of two-temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading

State-space approach of two-temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading

Problem of generalized thermoelastic infinite medium with cylindrical cavity subjected to a ramp-type heating and loading

Effect of Finite Velocity of Thermal Wave on Stress Focusing Phenomena

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