Determination of the Thermal Stress Produced by a Thermo-poro-inclusion of Spheroid-shaped Near a Free Surface

作者: X Zhang , X Jin , P Li , D Lyu , R Zhang

DOI: 10.1088/1757-899X/576/1/012043

关键词: Thermal expansionMicromechanicsMaterials sciencePore water pressureFree surfaceMechanicsPorous mediumElasticity (economics)EigenstrainStress (mechanics)

摘要: Eshelby's inclusion with thermo-porous eigenstrain is a classical micromechanics problem, and may find wide applications in various engineering fields including mechanical transmission system, composite materials geophysical structures. In this paper, the elastic field produced by spheroidal placed vertically near free boundary surface investigated. The current work complements our previous publication on horizontally aligned [Computers & Geosciences. 2019;122:15-24], hence concludes that complete elasticity solution respect to displacement, strain stress can be obtained closed-form. of due thermal expansion provided, comparative study fluid withdrawal leading decrease pore pressure discussed. present half-space model used determine porous caused fluctuation temperature alteration.

参考文章(11)
A. V. Manoylov, F. M. Borodich, H. P. Evans, Modelling of elastic properties of sintered porous materials Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 469, pp. 20120689- ,(2013) , 10.1098/RSPA.2012.0689
The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 241, pp. 376- 396 ,(1957) , 10.1098/RSPA.1957.0133
The Elastic Field Outside an Ellipsoidal Inclusion Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 252, pp. 561- 569 ,(1959) , 10.1098/RSPA.1959.0173
Kun Zhou, Hsin Jen Hoh, Xu Wang, Leon M. Keer, John H.L. Pang, Bin Song, Q. Jane Wang, A review of recent works on inclusions Mechanics of Materials. ,vol. 60, pp. 144- 158 ,(2013) , 10.1016/J.MECHMAT.2013.01.005
Raymond D. Mindlin, David H. Cheng, Thermoelastic Stress in the Semi‐Infinite Solid Journal of Applied Physics. ,vol. 21, pp. 931- 933 ,(1950) , 10.1063/1.1699786
K. Seo, T. Mura, The Elastic Field in a Half Space Due to Ellipsoidal Inclusions With Uniform Dilatational Eigenstrains Journal of Applied Mechanics. ,vol. 46, pp. 568- 572 ,(1979) , 10.1115/1.3424607
Xiaoqing Jin, Ding Lyu, Xiangning Zhang, Qinghua Zhou, Qian Wang, Leon M Keer, None, Explicit Analytical Solutions for a Complete Set of the Eshelby Tensors of an Ellipsoidal Inclusion Journal of Applied Mechanics. ,vol. 83, pp. 121010- ,(2016) , 10.1115/1.4034705
Ding Lyu, Xiangning Zhang, Pu Li, Dahui Luo, Yumei Hu, Xiaoqing Jin, Liying Zhang, Leon M. Keer, Explicit analytical solutions for the complete elastic field produced by an ellipsoidal thermal inclusion in a semi-infinite space Journal of Applied Mechanics. ,vol. 85, pp. 051005- ,(2018) , 10.1115/1.4039373