Study on Stress Intensity Factors of Concrete Beams With Sharp V Notches

TONG Gusheng; HU Zongqi; XU Penghua

doi:10.21656/1000-0887.380159

Volume 39 Issue 3

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2018 > 39(3): 300-310

TONG Gusheng, HU Zongqi, XU Penghua. Study on Stress Intensity Factors of Concrete Beams With Sharp V Notches[J]. Applied Mathematics and Mechanics, 2018, 39(3): 300-310. doi: 10.21656/1000-0887.380159

Citation:

PDF( 2713 KB)

Study on Stress Intensity Factors of Concrete Beams With Sharp V Notches

doi: 10.21656/1000-0887.380159

School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, P.R.China

Funds: The National Natural Science Foundation of China（11242006；11462005）

Received Date: 2017-06-06
Rev Recd Date: 2018-01-11
Publish Date: 2018-03-15

Abstract

Abstract

The failure behavior of the concrete beams with V notches is usually predicted by the notch stress intensity factor (NSIF), which quantify the intensities of the asymptotic linear elastic stress distributions around the notches. For a V-notched beam, the NSIF is determined by the notch angle. The strain energy density fracture criterion is used to judge the fracture failure of a member according to whether the strain energy density in a certain volume reaches the critical value. If the volume is small enough to neglect the higher-order solutions of the Williams equation, the strain energy density criterion can be used to calculate the NSIF. In view of the type-Ⅰ load condition, the theoretical NSIFs of the V notches obtained with the mean strain energy density fracture criterion and Carpinteri’s finite fracture mechanics method respectively, agree well with each other. Moreover, both the theoretical NSIFs given by the 2 criteria are fairly consistent with the experimental results from various V-notched concrete beam specimens.
- strain energy density criterion,
- finite fracture mechanics,
- notch stress intensity factor,
- V notch,
- proportional parameter

FullText(HTML)

References(23)

References

[1]	DUNN M L, SUWITO W, CUNNINGHAM S. Fracture initiation at sharp notches: correlation using critical stress intensities[J].International Journal of Solids and Structures,1997,34(29): 3873-3883.
[2]	DUNN M L, SUWITO W, CUNNINGHAM S, et al. Fracture initiation at sharp notches under mode I, mode II, and mild mixed mode loading[J]. International Journal of Fracture,1997,84(4): 367-381.
[3]	LEGUILLON D, YOSIBASH Z. Crack onset at a V-notch, influence of the notch tip radius[J]. International Journal of Fracture,2003,122(1/2): 1-21.
[4]	VERREMAN Y, NIE B. Early development of fatigue cracking at manual fillet welds[J]. Fatigue and Fracture of Engineering Materials and Structures,2010,19(6): 669-681.
[5]	PLUVINAGE G. Rupture and fatigue initiated from notches, application of the notch intensity factor[J]. Revista Fructure Mecanique,1997,3(4): 53-61.
[6]	LAZZARIN P, TOVO R. A notch intensity factor approach to the stress analysis of welds[J]. Fatigue and Fracture of Engineering Materials and Structures,1998,21(9): 1089-1103.
[7]	ATZORI B, LAZZARIN P, TOVO R. From a local stress approach to fracture mechanics: a comprehensive evaluation of the fatigue strength of welded joints[J]. Fatigue and Fracture of Engineering Materials and Structures,1999,22(5): 369-381.
[8]	ATZORI B, LAZZARIN P, TOVO R. Stress field parameters to predict the fatigue strength of notched components[J]. Journal of Strain Analysis for Engineering Design,1999,34(6): 437-453.
[9]	LAZZARIN P, ZAMBARDI R. A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches[J]. International Journal of Fracture,2001,112(3): 275-298.
[10]	YOSIBASH Z, BUSSIBA A, GILAD I. Failure criteria for brittle elastic materials[J]. International Journal of Fracture,2004,125(3/4): 307-333.
[11]	LAZZARIN P, BERTO F, ELICES M, et al. Brittle failures from U- and V-notches in mode I and mixed, I+II, mode: a synthesis based on the strain energy density averaged on finite-size volumes[J]. Fatigue and Fracture of Engineering Materials and Structures,2009,32(8): 671-684.
[12]	BERTO F, LAZZARIN P. A review of the volume-based strain energy density approach applied to V-notches and welded structures[J]. Theoretical and Applied Fracture Mechanics,2009,52(3): 183-194.
[13]	BERTO F, LAZZARIN P. Recent developments in brittle and quasi-brittle failure assessment of engineering materials by means of local approaches[J]. Materials Science and Engineering: R,2014,75(1): 1-48.
[14]	TREIFI M, OYADIJI S O. Strain energy approach to compute stress intensity factors for isotropic homogeneous and bi-material V-notches[J]. International Journal of Solids and Structures,2013,50(14/15): 2196-2212.
[15]	DAVIS B R, WAWRZYNEK P A, INGRAFFEA A R. 3-D simulation of arbitrary crack growth using an energy-based formulation—part I: planar growth[J]. Engineering Fracture Mechanics,2014,115(1): 204-220.
[16]	CARPINTERI A, CORNETTI P, PUGNO N, et al. A finite fracture mechanics approach to structures with sharp V-notches[J]. Engineering Fracture Mechanics,2008,75(7): 1736-1752.
[17]	CORNETTI P, PUGNO N, CARPINTERI A, et al. Finite fracture mechanics: a coupled stress and energy failure criterion[J]. Engineering Fracture Mechanics,2006,73(14): 2021-2033.
[18]	YOSIBASH Z, PRIEL E, LEGUILLON D. A failure criterion for brittle elastic materials under mixed-mode loading[J]. International Journal of Fracture,2006,141(1/2): 291-312.
[19]	GROSS B, MENDELSON A. Plane elastostatic analysis of V-notched plates[J]. International Journal of Fracture Mechanics,1972,8(3): 267-276.
[20]	TADA H, PARIS P C, IRWIN G R. The Stress Analysis of Cracks Handbook [M]. New York: ASME Press, 2000.
[21]	CARPINTERI A. Stress-singularity and generalized fracture toughness at the vertex of re-entrant corners[J].Engineering Fracture Mechanics,1987,26(1): 143-155.
[22]	LEGGET D R F. American society for testing and materials[J].Nature,1964,203(4945): 565-568.
[23]	GOMEZ F J, ELICES M. Fracture of components with V-shaped notches[J]. Engineering Fracture Mechanics,2003,70(14): 1913-1927.