期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 84, 期 -, 页码 167-182出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2016.02.001
关键词
Isotropic material; Penny-shaped crack; General solutions; Thermo-elastic field; Steady-state temperature field
类别
资金
- National Natural Science Foundation of China [11102171, 11321202]
- Program for New Century Excellent Talents in University of Ministry of Education of China [NCET-13-0973]
- Sichuan Provincial Youth Science and Technology Innovation Team, China [2013-TD-0004]
- State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and Astronautics, China) [MCMS-0214G01]
- Alexander von Humboldt Foundation (Germany)
This paper aims to analytically study the three-dimensional steady-state thermo-elastic field in an infinite space containing a penny-shaped crack subjected to a set of temperature loadings. The material is assumed to be isotropic and the loadings are symmetrically applied on the crack surfaces. In view of the symmetry with respect to the cracked plane, the present crack problem is formulated as a mixed boundary-value problem. The corresponding boundary integral and integro-differential equations are solved by virtue of the potential theory method in conjunction with the newly developed general solution. For the crack subjected to point or uniform temperature loadings, the thermo-elastic field variables are explicitly and exactly obtained in terms of elementary functions, in a complete manner. In both non-axisymmetric and axisymmetric cases, some important parameters in fracture mechanics, e.g., the crack surface displacement, the normal stress in the intact subregion of the crack plane and the stress intensity factor are explicitly derived as well. The validity of the present solutions is discussed analytically and by virtue of finite element simulation. The obtained analytical results can be combined with experimental investigations by the infrared-thermography technique. (C) 2016 Elsevier Ltd. All rights reserved.
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