由裂纹嘴位移确定双悬臂梁试样应力强度因子的权函数解法

doi:10.7527/S1000-6893.2015.0154

Abstract

Abstract:

Double cantilever beam(DCB) specimen has important applications in materials' damage tolerance properties evaluation, especially for experimental determination of the stress corrosion cracking threshold(K_ISCC). Because of the particular specimen geometry, crack surface displacement loading at a specific position which is a certain distance away from the specimen edge(crack mouth) is commonly used. However, displacement measurement at the loading position is not only time-consuming but also inaccurate. For the DCB specimen, the most convenient and accurate displacement measurement location is at the crack mouth. In this paper, through finite element calculations for a reference load case and by using the classical weight function method for the edge crack geometry, analytical weight function for the DCB specimen is developed. Comparisons and verification have been conducted using the complex variable function Taylor series expansion weight function. Furthermore, from the specific loading point displacement, stress intensity factor for uniform stress loading at the corresponding crack surface location is obtained by inverse calculation. An analytical expression between the stress intensity factor and the crack mouth displacement is derived for DCB specimen subjected to the crack surface displacement loading at specific position. Thus, a solid foundation is laid for the evaluation of materials' damage tolerance properties using the DCB specimen, especially for K_ISCC measurement automation with high accuracy.

Key words: double cantilever beam specimen, weight function, displacement loading condition, stress intensity factor, crack mouth displacement

CLC Number:

V215

TONG Dihua, WU Xueren, LIU Jianzhong. Weight function method of determining double cantilever beam specimen stress intensity factor by crack mouth displacement[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(2): 609-616.

References

[1] DIETZEL W, SRINIVASAN P B, ATRENS A. Testing and evaluation methods for stress corrosion cracking(SCC) in metals[J]. Stress Corrosion Cracking:Theory and Practice, 2011:133-166.
[2] HU J, LUO R S, YAO C K, et al. Effect of annealing treatment on the stress corrosion cracking behavior of SiC whisker reinforced aluminum composite[J]. Materials Chemistry and Physics, 2001, 70(2):160-163.
[3] 金蕾, 蔡力勋. 基于双悬臂梁试样的柔度方法[J]. 机械强度, 2011, 33(4):534-537. JIN L, CAI L X. Compliance method based on double cantilever beam[J]. Journal of Mechanical Strength, 2011, 33(4):534-537(in Chinese).
[4] 中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会. 金属和合金的腐蚀应力腐蚀试验第6部分:恒载荷或恒位移下预裂纹试样的制备和应用:GB/T 15970.6-2007[S]. 北京:中国标准出版社, 2007:181-206. General Administration of Quality Supervise, Inspection and Quarantine of the people's Republic of China, Standardization Administration of the People's Republic of China. Corrosion of metals and alloys-Stress corrosion testing-Part 6:Preparation and use of pre-cracked specimens for tests under constant load or constant displacement:GB/T 15970.6-2007[S]. Beijing:China Standards Press, 2007:181-206(in Chinese).
[5] BUECKNER H F. Novel principle for the computation of stress intensity factors[J]. Zeitschrift Fuer Angewandte Mathematik & Mechanik, 1970, 50(9):529-546.
[6] RICE J R. Some remarks on elastic crack-tip stress fields[J]. International Journal of Solids and Structures, 1972, 8(6):751-758.
[7] WU X R, CARLSSON A J. Weight functions and stress intensity factor solutions[M]. Oxford:Pergamon Press Ltd., 1991:1-38.
[8] WU X R. Analytical wide-range weight functions for various finite cracked bodies[J]. Engineering Analysis with Boundary Elements, 1992, 9(4):307-322.
[9] FETT T, MUNZ D. Stress intensity factors and weight functions[M]. Davis, CA:Computational Mechanics Publications, 1997:289-291.
[10] COURTIN S, GARDIN C, BEZINE G, et al. Advantages of the J-integral approach for calculating stress intensity factors when using the commercial finite element software ABAQUS[J]. Engineering Fracture Mechanics, 2005, 72(14):2174-2185.
[11] JING Z, WU X R. Wide-range weight functions and stress intensity factors for arbitrarily shaped crack geometries using complex Taylor series expansion method[J]. Engineering Fracture Mechanics, 2015, 138:215-232.

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Weight function method of determining double cantilever beam specimen stress intensity factor by crack mouth displacement

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