Method for solving two-dimensional elasticity theory problems for piecewise-homogeneous bodies

Lomakin, V. A.; Lavrenyuk, V. I.

doi:10.1007/bf00884383

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2012

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“…At high temperature, the material characteristics, such as the modulus of elasticity, the Poisson's ratio, and the coefficient of thermal conductivity, are no longer constants. [2] In recent years, due to progress in various fields of science and technology, taking into consideration the real behaviour of the material characteristics becomes an actual necessity. In some investigations, they have been taken as functions of coordinates.…”

Section: Introductionmentioning

confidence: 99%

Generalized thermoelasticity of the thermal shock problem in an isotropic hollow cylinder and temperature dependent elastic moduli

Abbas¹,

Othman²

2012

Chinese Phys. B

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In this paper, we construct the equations of generalized thermoelasticity for a non-homogeneous isotropic hollow cylider with a variable modulus of elasticity and thermal conductivity based on the Lord and Shulman theory. The problem has been solved numerically using the finite element method. Numerical results for the displacement, the temperature, the radial stress, and the hoop stress distributions are illustrated graphically. Comparisons are made between the results predicted by the coupled theory and by the theory of generalized thermoelasticity with one relaxation time in the cases of temperature dependent and independent modulus of elasticity.

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Section: Introductionmentioning

confidence: 99%