How to cite this paper
Akhtar, N., Hasan, S & Shekhar, S. (2022). Mathematical modelling for multiple straight cracks with coalesced yield zones.Engineering Solid Mechanics, 10(4), 311-324.
Refrences
Barenblatt, G. I. (1962). The mathematical theory of equilibrium cracks in brittle fracture. Advances in applied mechanics, 7, 55-129.
Bhargava, R. R., & Hasan, S. (2012). Crack-tip-opening displacement for four symmetrically situated cracks with coalesced interior yield zones. Applied Mathematical Modelling, 36(11), 5741-5749.
Burdekin, F. M., & Stone, D. E. W. (1966). The crack opening displacement approach to fracture mechanics in yielding materials. Journal of Strain Analysis, 1(2), 145-153.
Byrd, P. F., & Friedman, M. D. (1971). Handbook of elliptic integrals for engineers and physicists. Springer.
Chang, D., & Kotousov, A. (2012). A strip yield model for two collinear cracks in plates of arbitrary thickness. International journal of fracture, 176(1), 39-47.
Chen, Y. Z. (1984). Multiple crack problems of antiplane elasticity in an infinite body. Engineering Fracture Mechanics, 20(5-6), 767-775.
Collins, R. A., & Cartwright, D. J. (1996). On the development of the strip yield model for the assessment of multiple site damage. Theoretical and applied fracture mechanics, 25(2), 167-178.
Collins, R. A., & Cartwright, D. J. (2001). An analytical solution for two equal-length collinear strip yield cracks. Engineering Fracture Mechanics, 68(7), 915-924.
Dugdale, D. S. (1960). Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids, 8(2), 100-104.
Feng, X. Q., & Gross, D. (2000). On the coalescence of collinear cracks in quasi-brittle materials. Engineering Fracture Mechanics, 65(5), 511-524.
Findlay, S. J., & Harrison, N. D. (2002). Why aircraft fail. Materials today, 5(11), 18-25.
Harrop, L. P. (1978). Application of a modified Dugdale model to the K vs COD relation. Engineering Fracture Mechanics, 10(4), 807-816.
Hasan, S., & Akhtar, N. (2015). Dugdale model for three equal collinear straight cracks: An analytical approach. Theoretical and Applied Fracture Mechanics, 78, 40-50.
Hasan, S., & Akhtar, N. (2015). Mathematical model for three equal collinear straight cracks: A modified Dugdale approach. Strength, Fracture and Complexity, 9(3), 211-232.
Isida, M. (1966). Stress-intensity factors for the tension of an eccentrically cracked strip.
Kanninen, M. F. (1970). A solution for a Dugdale crack subjected to a linearly varying tensile loading. International Journal of Engineering Science, 8(1), 85-95.
Liu, Z. X., Xu, W., Yu, Y., & Wu, X. R. (2019). Weight functions and stress intensity factors for two unequal-length collinear cracks in an infinite sheet. Engineering Fracture Mechanics, 209, 173-186.
Muskhelishvili, N. I. (1963). Some Basic Problems of the Mathematical Theory OfElasticity. P. Noordhoff.
Nishimura, T. (2002). Strip yield analysis of two collinear unequal cracks in an infinite sheet. Engineering fracture mechanics, 69(11), 1173-1191.
Swift, T. (1994). Damage tolerance capability. International Journal of Fatigue, 16(1), 75-94.
Theocaris, P. S. (1983). Dugdale models for two collinear unequal cracks. Engineering Fracture Mechanics, 18(3), 545-559.
Xu, W., & Wu, X. R. (2012). Weight functions and strip-yield model analysis for three collinear cracks. Engineering Fracture Mechanics, 85, 73-87.
Xu, W., Wu, X. R., & Wang, H. (2011). Weight functions and strip yield solution for two equal-length collinear cracks in an infinite sheet. Engineering fracture mechanics, 78(11), 2356-2368.
Xu, W., Wu, X. R., & Yu, Y. (2017). Weight function, stress intensity factor and crack opening displacement solutions to periodic collinear edge hole cracks. Fatigue & Fracture of Engineering Materials & Structures, 40(12), 2068-2079.
Bhargava, R. R., & Hasan, S. (2012). Crack-tip-opening displacement for four symmetrically situated cracks with coalesced interior yield zones. Applied Mathematical Modelling, 36(11), 5741-5749.
Burdekin, F. M., & Stone, D. E. W. (1966). The crack opening displacement approach to fracture mechanics in yielding materials. Journal of Strain Analysis, 1(2), 145-153.
Byrd, P. F., & Friedman, M. D. (1971). Handbook of elliptic integrals for engineers and physicists. Springer.
Chang, D., & Kotousov, A. (2012). A strip yield model for two collinear cracks in plates of arbitrary thickness. International journal of fracture, 176(1), 39-47.
Chen, Y. Z. (1984). Multiple crack problems of antiplane elasticity in an infinite body. Engineering Fracture Mechanics, 20(5-6), 767-775.
Collins, R. A., & Cartwright, D. J. (1996). On the development of the strip yield model for the assessment of multiple site damage. Theoretical and applied fracture mechanics, 25(2), 167-178.
Collins, R. A., & Cartwright, D. J. (2001). An analytical solution for two equal-length collinear strip yield cracks. Engineering Fracture Mechanics, 68(7), 915-924.
Dugdale, D. S. (1960). Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids, 8(2), 100-104.
Feng, X. Q., & Gross, D. (2000). On the coalescence of collinear cracks in quasi-brittle materials. Engineering Fracture Mechanics, 65(5), 511-524.
Findlay, S. J., & Harrison, N. D. (2002). Why aircraft fail. Materials today, 5(11), 18-25.
Harrop, L. P. (1978). Application of a modified Dugdale model to the K vs COD relation. Engineering Fracture Mechanics, 10(4), 807-816.
Hasan, S., & Akhtar, N. (2015). Dugdale model for three equal collinear straight cracks: An analytical approach. Theoretical and Applied Fracture Mechanics, 78, 40-50.
Hasan, S., & Akhtar, N. (2015). Mathematical model for three equal collinear straight cracks: A modified Dugdale approach. Strength, Fracture and Complexity, 9(3), 211-232.
Isida, M. (1966). Stress-intensity factors for the tension of an eccentrically cracked strip.
Kanninen, M. F. (1970). A solution for a Dugdale crack subjected to a linearly varying tensile loading. International Journal of Engineering Science, 8(1), 85-95.
Liu, Z. X., Xu, W., Yu, Y., & Wu, X. R. (2019). Weight functions and stress intensity factors for two unequal-length collinear cracks in an infinite sheet. Engineering Fracture Mechanics, 209, 173-186.
Muskhelishvili, N. I. (1963). Some Basic Problems of the Mathematical Theory OfElasticity. P. Noordhoff.
Nishimura, T. (2002). Strip yield analysis of two collinear unequal cracks in an infinite sheet. Engineering fracture mechanics, 69(11), 1173-1191.
Swift, T. (1994). Damage tolerance capability. International Journal of Fatigue, 16(1), 75-94.
Theocaris, P. S. (1983). Dugdale models for two collinear unequal cracks. Engineering Fracture Mechanics, 18(3), 545-559.
Xu, W., & Wu, X. R. (2012). Weight functions and strip-yield model analysis for three collinear cracks. Engineering Fracture Mechanics, 85, 73-87.
Xu, W., Wu, X. R., & Wang, H. (2011). Weight functions and strip yield solution for two equal-length collinear cracks in an infinite sheet. Engineering fracture mechanics, 78(11), 2356-2368.
Xu, W., Wu, X. R., & Yu, Y. (2017). Weight function, stress intensity factor and crack opening displacement solutions to periodic collinear edge hole cracks. Fatigue & Fracture of Engineering Materials & Structures, 40(12), 2068-2079.