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Analytical solution of torsion vibration of a finite cylindrical cavity in a transversely isotropic half-space

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Publication:2905255
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DOI10.1002/zamm.201100123zbMath1402.74071OpenAlexW2027652160MaRDI QIDQ2905255

Azizollah Ardeshir-Behrestaghi, Ronald Y. S. Pak, Mojtaba Mahmoodian, Morteza Eskandari-Ghadi

Publication date: 27 August 2012

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201100123

zbMATH Keywords

torsionsingular integral equationcosine transformhalf spacetransversely isotropiccylindrical cavity


Mathematics Subject Classification ID

Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Shells (74K25) Integral equations with kernels of Cauchy type (45E05)


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A family of exponentially-gradient elements for numerical computation of singular boundary value problems



Cites Work

  • Elastic response to a time-harmonic torsion-force acting on bore surface
  • Applied tractions on the surface of an infinite cylindrical bore
  • Traction and contact problems for an anisotropic medium with a cylindrical borehole
  • Torsional traction on an open finite cylindrical cavity
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