Thermal Stresses in an Elastic Thick Plate Containing a Spherical Cavity under Steady Distribution of Temperature : Part 1,Solution for the Case of Symmetric Distribution of Temperature

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概要

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• An exact steady-state solution is obtained for the thermomechanical behavior of an elastic thick plate having a symmetrically located spherical cavity. In this report the stresses in a similar slab under such a steady thermal condition that the surface of the internal cavity and the circular regions of the bounding surfaces being exposed to any different constant temperature are investigated. The temperature function in question is constructed by using a series of periodic harmonic functions and a harmonic integral. So-called thermoelastic displacement potential corresponding to the temperature is introduced and finally the particular solution of this system is determined to satisfy the boundary conditions. The solution is illustrated by some numerical examples.

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著者

• Atsumi Akira

  Faculty Of Engineering Tohoku University Sendai.

• Atsumi Akira

  Faculty Of Engineering Tohoku University

• YOSHIDA Kimio

  Faculty of Engineering, Tohoku University.

• Yoshida Kimio

  Faculty Of Engineering Tohoku University.

関連論文

• Thermal Stresses in a Circular Cylinder with a Ring of Heat Sources
• Thermal Stress Due to Disturbances of Uniform Heat Flow by an Insulated Spherical Cavity in a Circular Cylinder
• Transient Thermoelastic Problem for a Transversely Anisotropic Hollow Sphere with Temperature-Dependent Properties
• Thermal Stress in the Neighbourhood of an Infinite Row of Holes in a Plate under Uniform Heat Flow
• Transient Thermoelastic Problem for a Transversely Anisotropic Hollow Cylinder with Temperature-Dependent Properties
• Thermal Stresses in an Elastic Thick Plate Containing a Spherical Cavity under Steady Distribution of Temperature : Part 1,Solution for the Case of Symmetric Distribution of Temperature

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