×

Interaction between cracks and effect of microcrack zone on main crack tip. (English) Zbl 1353.74066

Summary: Mechanism interaction between cracks with different orientation angles is analyzed based on the principle of superposition and a flattening method. It is found that the maximum interaction effect does not occur when the microcrack is along the direction parallel or perpendicular to the principal tensile stress, which is different from the conclusion drawn by M. Ortiz [J. Appl. Mech. 54, 54–58 (1987; Zbl 0604.73104)]. The mechanism of microcrack generation and the effect of the microcrack zone on the main crack tip are studied. It is concluded that the microcrack zone has effect on the main crack tip, which increases with the increase of microcrack density and length.

MSC:

74R10 Brittle fracture

Citations:

Zbl 0604.73104
Full Text: DOI

References:

[1] Ortiz, M. A continuum theory of crack shielding in ceramics. Journal of Applied Mechanics, ASME 54(3), 54–58 (1987) · Zbl 0604.73104 · doi:10.1115/1.3172994
[2] Ortiz, M. and Giannakopoulos, A. E. Maximal crack tip shielding by microcracking. Journal of Applied Mechanics, ASME 56(6), 279–283 (1989) · doi:10.1115/1.3176079
[3] Kachanov, M. Elastic solids with many cracks: a simple method of analysis. Int. J. Solids Struct. 23(1), 23–43 (1987) · Zbl 0601.73096 · doi:10.1016/0020-7683(87)90030-8
[4] Kachanov, M. A simple technique of stress analysis in elastic solids with many cracks. Int. J. Fracture 28(1), R11–R19 (1985)
[5] Gao, Y. X., Zheng, Q. S., and Yu, S. W. Microscopic analysis and invariant description of the effective elastic properties of damaged solids-a general theoretic model accounting for interaction of micro-defects (in Chinese). Chinese Journal of Theoretical and Applied Mechanics 30(5), 552–563 (1998)
[6] Ju, J. W. and Chen, T. M. Effective elastic moduli of two-dimensional brittle solids with interacting microcracks, part I: basic formulations. Journal of Applied Mechanics, ASME 61(6), 349–357 (1994) · Zbl 0837.73051 · doi:10.1115/1.2901451
[7] Ju, J. W. and Chen, T. M. Effective elastic moduli of two-dimensional brittle solids with interacting microcracks, part II: evolutionary damage models. Journal of Applied Mechanics, ASME 61(6), 358–368 (1994) · Zbl 0837.73051 · doi:10.1115/1.2901452
[8] Chen, Y. Z. General case of multiple crack problems in an infinite plate. Engineering Fracture Mechanics 20(4), 591–597 (1984) · doi:10.1016/0013-7944(84)90085-7
[9] Feng, X. Q., Li, J. Y., and Yu, S. W. A simple method for calculating interaction of numerous microcracks and its applications. Int. J. Solids Struct. 40(2), 447–464 (2003) · Zbl 1064.74644 · doi:10.1016/S0020-7683(02)00519-X
[10] Rose, L. R. F. Microcrack interaction with a main crack. Int. J. Fracture 31(3), 233–242 (1986) · doi:10.1007/BF00018929
[11] Rubinstein, A. A. Macrocrack interaction with semi-infinite microcrack array. Int. J. Fracture 27(2), 113–119 (1985)
[12] Yan, X. Q. An effective numerical approach for multiple void-crack interaction. Journal of Applied Mechanics 73(4), 525–535 (2006) · Zbl 1111.74718 · doi:10.1115/1.2127955
[13] Zeng, Y. S. Theory and Application of Fracture and Damage (in Chinese), Tsinghua University Press, Beijing (1992)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.