대한조선학회논문집 (Journal of the Society of Naval Architects of Korea)

  • 제33권3호
  • /
  • Pages.94-102
  • /
  • 1996
  • /
  • 1225-1143(pISSN)
  • /
  • 2287-7355(eISSN)
대한조선학회 (The Society of Naval Architects of Korea)
권호 표지

탄소성 변형구배텐서의 가산분해와 곱분해에 대한 새로운 역학적 이해

A New Interpretation on the Additive and Multiplicative Decompositions of Elastic-Plasmic Deformation Gradient Tensor

  • 남용윤 (한국기계연구원 구조시스템연구부) ;
  • 신종계 (서울대학교 조선해양공학과)
  • 발행 : 1996.08.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

유한변형문제에서 변형구배텐서를 탄소성 성분으로 분해하기 위한 가산분해와 곱분해방법에 대해서 설명하고, 이 두 방법에서 파생되는 역학량들의 의미와 그 차이점을 보였다. 변형구배에 대한 기존의 곱분해와 가산분해로 얻어지는 변형속도구배는 가산적으로 표현되지 않으며, 소성변형속도구배는 탄성변형의 영향을 받고 있다. 본 연구에서는 공축소성 가정을 도입하고, 수정된 곱분해를 통하여 소성변형속도구배가 탄성변형에 영향을 받지 않는 가산적인 변형속도 구배를 얻었다.

An interpretation for the additive and multiplicative decomposition theory of the deformation gradient tensor in finite deformation problems is presented. the conventional methods have not provided the additive deformation velocity gradient. Moreover the plastic deformation velocity gradients are not free from elastic deformations. In this paper, a modified multiplicative decomposition is introduced with the assumption of coaxial plastic deformation velocity gradient. This strategy well gives the additive deformation velocity gradient in which the plastic deformation velocity gradient is not affect4d by the elastic deformation.

키워드

참고문헌

  1. Int. J. Solids Structures v.15 Decomposition of Strain Measures and Their Rates in Finite Deformation Elastoplasticity Nemat-Nasser, S.
  2. Int. J. Solids Structures v.17 A Note on the Decomposition of Elastoplastic Finite Deformations Zhong-Heng, G.
  3. J. Appl. Mech., Trans. of the ASME Elastic-Plastic Deformation at Finite Strains Lee, E.H.
  4. Int. J. Solids Structures v.17 Some Comments on Elastic-Plastic Analysis Lee, E.H.
  5. Int. J. Solids Structures v.18 On Finite Deformation Elasto-Plastitiy Nemat-Nasser, S.
  6. Int. J. Solids Structures v.16 Concerning Elastic and Plastic Components of Deformation Lee, E.H.;McMeeking, R.M.
  7. Quart. Appl. Math. v.42 Determination of the Stretch and Rotation in Polar Decomposition of the Deformation Gradient Hoger, A.;Carlson, D.E.
  8. Int. J. Num. Methods Engng. v.15 Finite Rotation Effects in Numerical Interation of Rate Consitiutive Equations Arising in Large-Deformation Analysis Hughes, T.J.R.;Winget, J.
  9. Int. J. Solids Structures v.33 no.5 Computational Aspects of the Logarithmic Strain Space Description Heiduschice, K.
  10. 한국해양공학회지 The investigation of plastic spin behavior of body centered polycrystal with simplyfied accommodation model Nam, Y.Y.;Kim, S.S.;Lee, S.G.