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논문 기본 정보

자료유형
학술저널
저자정보
Victor I. Rizov (University of Architecture)
저널정보
국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.71 No.2
발행연도
2019.1
수록면
153 - 163 (11page)

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초록· 키워드

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Longitudinal fracture behavior of non-linear elastic beam configurations is studied in terms of the strain energy releaserate. It is assumed that the beams exhibit continuous material inhomogeneity along the width as well as along the height of the crosssection. The Ramberg-Osgood stress-strain relation is used for describing the non-linear mechanical behavior of the inhomogeneousmaterial. A solution to strain energy release rate is derived that holds for inhomogeneous beams of arbitrary cross-section undercombination of axial force and bending moments. Besides, the solution may be applied at any law of continuous distribution of themodulus of elasticity in the beam cross-section. The longitudinal crack may be located arbitrary along the beam height. The solutionis used to investigate a longitudinal crack in a beam configuration of rectangular cross-section under four-point bending. The crackis located symmetrically with respect to the beam mid-span. It is assumed that the modulus of elasticity varies continuouslyaccording a cosine law in the beam cross-section. The longitudinal fracture behavior of the inhomogeneous beam is studied also byapplying the J-integral approach for verification of the non-linear solution to the strain energy release rate derived in the presentpaper. Effects of material inhomogeneity, crack location along the beam height and non-linear mechanical behavior of the materialon the longitudinal fracture behavior are evaluated. Thus, the solution derived in the present paper can be used in engineering designof inhomogeneous non-linear elastic structural members to assess the influence of various material and geometrical parameters onlongitudinal fracture.

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