Composites Research

The Korean Society for Composite Materials (한국복합재료학회)
권호 표지
DOI QR코드

DOI QR Code

Stress Analysis of Composite Plate with an Elliptical Hole or a Crack Using Complex Potentials

복소퍼텐셜을 이용한 타원공 또는 균열을 가진 복합재 평판 응력해석

  • 권정호 (울산대학교 항공우주공학과) ;
  • 황경정 (㈜대한항공 항공우주사업본부 설계개발팀)
  • Published : 2007.10.31
Download PDF
⟨ Previous Next ⟩

Abstract

An approach using complex potentials is presented for analysis of composite plate with an elliptical hole or a rectilinear crack. Composite structure is susceptible to encounter impact damages, which lead to considerable decrease in its residual strength. Such impact damages could be modeled as an equivalent elliptical hole or notch-like crack. Even though finite element method is widely used to analyze stresses or fracture mechanics parameters around such damage, it is tedious to make successive FE-modeling for damage tolerance assessment under fatigue loadings. In this point of view, the solutions based on complex potentials are very simple and easy to use. The computed results are also compared and discussed with those from FEA.

복소퍼텐셜을 이용하여 타원공 또는 균열을 내재한 복합재 적층판구조 해석법을 고찰하였다. 복합재 적층판은 충격에 취약하며 이러한 충격손상은 타원공이나 균열형태의 노치로 모델화된 바 있다. 이와 같이 컷아웃부를 내재한 복잡한 형태의 복합재 적층판 해석에 유한요소해석법이 널리 사용되고 있으나 피로하중 하에서의 손상허용성 평가와 같이 손상진전에 따라 반복적으로 유한요소모델링을 수정하여 해석을 수행하여야 하는 경우 매우 번거로운 작업이 요구된다. 이러한 관점에서 복소퍼텐셜을 이용한 해석적 기법은 매우 간편하고 사용하기 손쉬운 기법이라고 할 수 있다. 이러한 해석법에 의한 계산결과를 유한요소해석 결과와 비교 분석함으로써 계산과정의 유효성과 용이성을 검증하였다.

Keywords

References

  1. Aircraft Structural Integrity Program, Airplane Requirement., MIL-STD-1530A, Dec. 1975, pp. 4-8
  2. Aircraft Damage Tolerance Requirement., MIL-A-83444 (USAF), July 1974, pp. 2-12
  3. Kinsey A., 'Post-impact Compressive Behaviour of Low Temperature Curing Woven CFRP Laminates,' Composite, Vol. 26, No. 9, 1995, pp. 661-667 https://doi.org/10.1016/0010-4361(95)98915-8
  4. Kassapoglou C., 'Compression Strength of Composite Sandwich Structures after Barely Visible Impact Damage,' J. Compos. Tech. and Res., JCTRER, Vol. 18, No. 4, 1996, pp. 274-284 https://doi.org/10.1520/CTR10113J
  5. Poe, C. C., Jr., 'Stress Intensity Factor for a Cracked Sheet with Riveted and Uniformly Spaced Stringers,' NASA TR R-358. 1971
  6. Barrois, W., 'Stress and Displacement Due to Load Transfer by Fasteners in Structural Assemblies,' Eng. Fract. Mech. Vol. 10, 1978, pp. 115-176 https://doi.org/10.1016/0013-7944(78)90055-3
  7. Kosmodamiansky, A.S., Stress Strain State of Anisotropic Mediums with Holes or Cavity's, Vischa schkola, Kiev, 1976, pp. 4-6
  8. Lekhnitskii, S.G., Anisotropic Plates, Gordon and Breach Press, 1968, pp. 28-31
  9. Savin, G.N., Stress Concentrations Around Holes, Pergamon Press, N.Y., 1961, pp. 152-174
  10. Lekhnitskii S.G., Anisotropic Plates, Gordon and Breach, 1968, pp. 130-131
  11. Muskhelishvili, N.l., Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff Ltd, Groningen, 1963, pp. 171-190, pp. 389-392
  12. Lekhnitskii S.G., Anisotropic Plates, Gordon and Breach, 1968, pp. 157-171
  13. Broek, D., Elementary Engineering Fracture Mechanics, 4th Ed., Martinus Nijhoff pub., 1986, pp. 73-81