Extended precise integration method for axisymmetric thermo-elastic problem in transversely isotropic material
| Autor: | Zhi Yong Ai, Lujun Wang, Quan Long Wu |
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| Rok vydání: | 2015 |
| Předmět: |
Thermo elastic
Mathematical analysis 0211 other engineering and technologies Computational Mechanics Rotational symmetry 02 engineering and technology Geotechnical Engineering and Engineering Geology Thermal diffusivity Thermal expansion Domain (mathematical analysis) 020303 mechanical engineering & transports Classical mechanics 0203 mechanical engineering Mechanics of Materials Transverse isotropy General Materials Science Differential (infinitesimal) Anisotropy 021101 geological & geomatics engineering |
| Zdroj: | International Journal for Numerical and Analytical Methods in Geomechanics. 40:297-312 |
| ISSN: | 0363-9061 |
| DOI: | 10.1002/nag.2402 |
| Popis: | Summary This paper presents a numerical solution for the analysis of the axisymmetric thermo-elastic problem in transversely isotropic material due to a buried heat source by means of extended precise integral method. By virtue of the Laplace–Hankel transform applied into the basic governing equations, an ordinary differential matrix equation is achieved, which describes the relationship between the generalized stresses and displacements in transformed domain. An extended precise integration method is introduced to solve the aforementioned matrix equation, and the actual solution in the physical domain is acquired by inverting the Laplace–Hankel transform. Numerical examples are carried out to demonstrate the accuracy of the proposed method and elucidate the influence of the character of transverse isotropy, the anisotropy of linear expansion coefficient, the anisotropy of thermal diffusivity, and medium's stratification on the thermo-elastic response. Copyright © 2015 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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