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Elasto-plastic Anisotropic Wood Material Model for Finite Solid Element Applications

탄소성이방성 솔리드 유한요소법 활용을 위한 목재 재료 모델 생성 연구

  • Hong, Jung-Pyo (Research Institute for Agriculture and Life Sciences, Seoul National University) ;
  • Kim, Chul-Ki (Department of Forest Science, College of Agriculture and Life Sciences, Seoul National University) ;
  • Lee, Jun-Jae (Department of Forest Science, College of Agriculture and Life Sciences, Seoul National University) ;
  • Oh, Jung-Kwon (Research Institute for Agriculture and Life Sciences, Seoul National University)
  • 홍정표 (서울대학교 농업생명과학연구원) ;
  • 김철기 (서울대학교 산림과학부) ;
  • 이전제 (서울대학교 산림과학부) ;
  • 오정권 (서울대학교 농업생명과학연구원)
  • Received : 2013.12.16
  • Accepted : 2014.03.12
  • Published : 2014.07.25

Abstract

A simplified material model, which was efficiently implemented in a three-dimensional finite solid element (3D FE) analysis for wood was developed. The bi-linear elasto-plastic anisotropic material theory was adopted to describe constitutive relations of wood in three major directions including longitudinal, radial and tangential direction. The assumption of transverse isotropy was made to reduce the requisite 27 material constants to 6 independent constants including elastic moduli, yield stresses and Poisson's ratios in the parallel, and perpendicular to grain directions. The results of Douglas fir compression tests in the three directions were compared to the 3D FE simulation incorporated with the wood material model developed in this study. Successful agreements of the results were found in the load-deformation curves and the permanent deformations. Future works and difficulties expected in the advanced application of the model were discussed.

삼차원 솔리드 유한요소 방법을 이용한 목재 거동 해석을 보다 효율적으로 손쉽게 활용하기 위하여, 이에 필요한 목재재료모델 생성 방법을 개발하였다. 2단선형 탄소성이방성 이론에 근거하여 목재의 주요 세 방향 즉, 섬유, 방사 및 접선방향의 구성방정식을 정의하였다. 목재재료상수 결정의 단순화를 위하여 방사방향과 접선방향의 특성을 섬유직각 방향으로 통합하고, 요구되는 총 27개의 재료입력상수를 방향별 탄성계수와 항복응력, 그리고 프와송 비를 포함하는 6개의 독립상수로 단순화하였다. 개발된 목재재료모델을 이용하여 북미 더글라스 퍼 압축시험에 대한 삼차원 유한요소 모델을 개발하고 주요 세 방향에 대한 실험 측정치들과 시뮬레이션 결과를 비교하였다. 성공적인 모델해석 결과를 얻었으며, 이를 바탕으로 향후 진척되어야 할 연구개발 방향과 예상되는 문제점들을 논의하였다.

Keywords

References

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  1. Estimate of Bolt Connection Strength of Reinforced Glulam using Glass Fiber vol.44, pp.1, 2016, https://doi.org/10.5658/WOOD.2016.44.1.67
  2. Parametric study on the capability of three-dimensional finite element analysis (3D-FEA) of compressive behaviour of Douglas fir vol.70, pp.6, 2016, https://doi.org/10.1515/hf-2015-0151