DOI QR코드

DOI QR Code

Exact and complete fundamental solutions for penny-shaped crack in an infinite transversely isotropic thermoporoelastic medium: mode I problem

  • LI, Xiang-Yu (School of Mechanics and Engineering, Southwest Jiaotong University) ;
  • Wu, J. (Laboratoire d'Etudes Aerodynamiques, Universite de Poitiers) ;
  • Chen, W.Q. (Department of Engineering Mechanics, Zhejiang University) ;
  • Wang, Hui-Ying (E.N.S.M.A., University of Poitiers) ;
  • Zhou, Z.Q. (Department of Mechanical and Aerospace Engineering, University of Miami)
  • 투고 : 2011.01.05
  • 심사 : 2012.03.24
  • 발행 : 2012.05.10

초록

This paper examines the problem of a penny-shaped crack in a thermoporoelastic body. On the basis of the recently developed general solutions for thermoporoelasticity, appropriate potentials are suggested and the governing equations are solved in view of the similarity to those for pure elasticity. Exact and closed form fundamental solutions are expressed in terms of elementary functions. The singularity behavior is then discussed. The present solutions are compared with those in literature and an excellent agreement is achieved. Numerical calculations are performed to show the influence of the material parameters upon the distribution of the thermoporoelastic field. Due to its ideal property, the present solution is a natural benchmark to various numerical codes and simplified analyses.

키워드

참고문헌

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피인용 문헌

  1. Some recent advances in 3D crack and contact analysis of elastic solids with transverse isotropy and multifield coupling vol.31, pp.5, 2015, https://doi.org/10.1007/s10409-015-0509-3
  2. Fundamental solutions of penny-shaped and half-infinite plane cracks embedded in an infinite space of one-dimensional hexagonal quasi-crystal under thermal loading vol.469, pp.2154, 2013, https://doi.org/10.1098/rspa.2013.0023
  3. Three-dimensional Green's functions of thermoporoelastic axisymmetric cones vol.42, 2017, https://doi.org/10.1016/j.apm.2016.10.023
  4. Analysis of arbitrarily shaped, planar cracks in a three-dimensional transversely isotropic thermoporoelastic medium vol.93, 2018, https://doi.org/10.1016/j.tafmec.2017.08.010
  5. A transversely isotropic thermo-poroelastic model for claystone: parameter identification and application to a 3D underground structure vol.13, pp.4, 2018, https://doi.org/10.1080/17486025.2018.1445874