Structural Engineering and Mechanics

  • 제45권4호
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  • Pages.495-519
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  • 2013
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Properties of integral operators in complex variable boundary integral equation in plane elasticity

  • Chen, Y.Z. (Division of Engineering Mechanics, Jiangsu University) ;
  • Wang, Z.X. (Division of Engineering Mechanics, Jiangsu University)
  • 투고 : 2012.02.04
  • 심사 : 2013.01.11
  • 발행 : 2013.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper investigates properties of integral operators in complex variable boundary integral equation in plane elasticity, which is derived from the Somigliana identity in the complex variable form. The generalized Sokhotski-Plemelj's formulae are used to obtain the BIE in complex variable. The properties of some integral operators in the interior problem are studied in detail. The Neumann and Dirichlet problems are analyzed. The prior condition for solution is studied. The solvability of the formulated problems is addressed. Similar analysis is carried out for the exterior problem. It is found that the properties of some integral operators in the exterior boundary value problem (BVP) are quite different from their counterparts in the interior BVP.

키워드

참고문헌

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피인용 문헌

  1. Properties of integral operators and solutions for complex variable boundary integral equation in plane elasticity for multiply connected regions vol.52, 2015, https://doi.org/10.1016/j.enganabound.2014.11.009
  2. Numerical solution of the t-version complex variable boundary integral equation for the interior region in plane elasticity vol.46, 2014, https://doi.org/10.1016/j.enganabound.2014.05.007
  3. Some general properties in the degenerate scale problem of antiplane elasticity or Laplace equation vol.64, pp.6, 2017, https://doi.org/10.12989/sem.2017.64.6.695
  4. Solution for null field CVBIE in plane elasticity using an accurate shape function vol.6, pp.2, 2021, https://doi.org/10.12989/acd.2021.6.2.077