[1] Savruk, M. P., Osiv, P. N., and Prokopchuk, I. V. Numerical Analysis in Plane Problems of the Crack's Theory (in Russian), Naukova Dumka, Kyiv (1989)
[2] Morozov, N. F. Mathematical Questions of the Crack's Theory (in Russian), Nauka, Moskow (1984)
[3] Slepyanm, L. I. Mechanics of Cracks (in Russian), Scientific & Academic Publishing, New York (1990)
[4] Savruk, M. P. Two-Dimensional Problems for the Bodies with Cracks (in Russian), Naukova Dumka, Kyiv (1981)
[5] Mykhas'kiv, V., Stankevych, V., Zhbadynskyi, I., and Zhang, C. 3-D dynamic interaction between a penny-shaped crack and a thin interlayer joining two elastic half-spaces. International Journal of Fracture, 159, 137-149(2009)
[6] Hakobyan, V. Mixed Boundary Value Problems on Interaction of Continuum Deformable Bodies with the Different Types Stress Concentrators (in Russian), Gitutyan, Yerevan (2014)
[7] Borisovich, U. K. Once more to the problem about semi-plane weaked by the semi-infinite crack parallel to the boundary. Pnrpu Mechanics Bulletin, 4, 139-168(2013)
[8] Borisova, E. V. Stress Concentration in the Peak of the Interior Transversal Crack in Composite Elastic Body (in Russian), Ph. D. dissertation, Rostov-na-Donu State University, Rostov-na-Donu (2015)
[9] Stepanova, L. V. The tensioned state in the environment of the peak of the transversal shift's crack under the conditions of the plane tensioned state in the ideally plastic material (in Russian). Vestnik of Samara State University (Natural-Science Series), 24, 78-84(2002)
[10] Antipov, Y. A., Bardzokas, D., and Exadactylos, G. E. Interface edge crack in a bimaterial elastic half-plane. International Journal of Fracture, 88, 281-304(1998)
[11] Liu, H. T. and Zhou, Z. G. Dynamic behavior of rectangular crack in three-dimensional orthotropic elastic medium by means of non-local theory. Applied Mathematics and Mechanics (English Edition), 38(2), 173-190(2017) DOI 10.1007/s10483-017-2161-9
[12] Protserov, Y. and Vaysfeld, N. Torsion problem for elastic multilayered finite cylinder with circular crack. Applied Mathematics and Mechanics (English Edition), 38(3), 423-438(2017) DOI 10.1007/s10483-017-2173-7
[13] Nazemnezhad, R. and Fahimi, P. Free torsional vibration of cracked nanobeams incorporating surface energy effects. Applied Mathematics and Mechanics (English Edition), 38(2), 217-230(2017) DOI 10.1007/s10483-017-2167-9
[14] Chai, H. A note on crack trajectory in an elastic strip bounded by rigid bustrates. International Journal of Fracture, 32, 211-213(1987)
[15] Erdogan, F. and Arin, K. A half plane and a strip an arbitrarily located crack. International Journal of Fracture, 11, 191-204(1975)
[16] Chen, Y. Z. Stress analysis for an infinite strip weakned by periodic cracks. Applied Mathematics and Mechanics (English Edition), 25(11), 1298-1303(2004) DOI 10.1007/BF02438286
[17] Chiang, C. R. A local variational principle and its application to an infinite strip containing a central transverse crack. International Journal of Fracture, 57, 33-36(1992)
[18] Civelek, M. B. and Erdogan, F. Crack problems for a rectangular plate and an infinite strip. International Journal of Fracture, 19, 139-159(1982)
[19] Dhaliwal, R. S. and Singh, B. M. Two coplanar Griffith cracks in an infinitely long elastic strip. Journal of Elasticity, 11, 229-238(1981)
[20] Singh, B. M. and Dhaliwal, R. S. Three coplanar Griffith cracks in an infinite elastic strip. Journal of Elasticity, 12, 127-141(1982)
[21] Georgiadis, H. G. and Brock, L. M. An exact method for cracked elastic strips under concentrated loads-time-harmonic response. International Journal of Fracture, 63, 201-214(1993)
[22] Ignatieva, N. V. About solution of boundary problems in semi-plane and strip with the crack (in Russian). Scientific Notes of Zabayklsky National University, 2, 135-137(2009)
[23] Antipov, Y. A. and Schiavone, P. Integro-differential equation of a finite crack in a strip with surface effects. Quarterly Journal of Mechanics & Applied Mathematics, 64, 87-106(2011)
[24] Wu, X. F., Lilla, E., and Zou, W. S. A semi-infinite internal crack between two bonded dissimilar elastic strips. Archive of Applied Mechanics, 72, 630-636(2002)
[25] Liu, X. H. and Erdogan, F. An elastic strip with multiple cracks and applications to tapered specimens. International Journal of Fracture, 29, 59-72(1985)
[26] Gecit, M. R. A cracked elastic strip bonded to a rigit support. International Journal of Fracture, 14, 575-584(1978)
[27] Goldstein, R. V., Ryskov, I. N., and Salganik, R. L. Central transverse crack in an infinite strip. International Journal of Fracture, 6, 104-105(1970)
[28] Itou, H. and Tani, A. A boundary value problem for an infinite elastic strip with a semi-infinite crack. Journal of Elasticity, 66, 193-206(2002)
[29] Kal'muk, L. I., Stashchuk, M. G., and Pokhmurs'kii, V. I. Stress-intensity coefficients around the vertices of cracks and rigit inclusions in strips with clamped or free boundaries. FizikoKhimicheskaya Mekhanika Materialov, 26, 65-75(1990)
[30] Lamzyuk, V. D., Mossakovshii, V. I., and Sotnikova, S. D. On stresses in a strip with a crack. Journal of Mathematical Sciences, 70, 2000-2005(1994)
[31] Fan, T. Y. Stress intensity factors of Mode I and Mode II for an infinite crack in a strip. International Journal of Fracture, 46, 11-16(1990)
[32] Yetmez, M. and Gecit, M. R. Stress analysis of a cracked finite strip with rigid ends. Turkish Journal of Engineering and Environmental Sciences, 29, 383-392(2005)
[33] Dyskin, A. V., Germanovich, L. N., and Ustinov, K. B. Asymptotic analysis of crack interaction with free boundary. International Journal of Solids and Structures, 37, 857-886(2000)
[34] Li, X. F. and Guo, S. H. Effects of nonhomogeneity on dynamic stress intensity factors for an antiplane interface crack in a functionally graded material bonded to an elastic semi-strip. Computational Materials Science, 38, 432-441(2006)
[35] Alexandrov, V. M. and Pozharskii, D. A. To the problem of a crack on the elastic strip-half-plane interface. Mechanics of Solids, 36, 70-76(2001)
[36] Sebryakov, G. G., Kovalenko, M. D., Menshova, I. V., and Shulyakovskaya, T. D. Odd-symmetric boundary value problem for a semi-strip with lateral reinforcement ribs:biorthogonal systems of functions and Lagrange expansion (in Russian). Doklady Akademii Nauk, 468, 280-284(2016)
[37] Sebryakov, G. G., Kovalenko, M. D., Menshova, I. V., and Shulyakovskaya, T. D. Lagrange expansion in terms of Fadle-Papkovich functions in the boundary-value problem for a semi-strip. Doklady Physics, 60, 81-84(2015)
[38] Duduchava, R. V. Convolution integral equations with discontinuous presymbols, singular integral equations with fixed singularities and their applications to problem in mecanics (in Russian). Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR, 60, 136(1979)
[39] Kryvyi, O. F. Mutual influence of an interface tunnel crack and an interface tunnel inclusion in a piecewise homogeneous anisotropic space. Journal of Mathematical Sciences, 208, 409-416(2015)
[40] Antipov, Y. A. Singular integral equations with two fixed singularities and applications to fractured composites. The Quarterly Journal of Mechanics and Applied Mathematics, 68, 461-501(2015)
[41] Popov, G. Y. The Elastic Stress Concentration Around Dies, Cuts, Thin Inclusions and Reinforcements (in Russian), Nauka, Moskow (1982)
[42] Vaysfel'd, N. and Zhuravlova, Z. The plain mixed thermoelasticity problem for the semi-strip (in Ukrainian). Mathematical Methods and Physical-Mechanical Fields, 58(4), 87-98(2015)
[43] Vaysfel'd, N. and Zhuravlova, Z. On one new approach to the solving of an elasticity mixed plane problem for the semi-strip. Acta Mechanica, 226, 4159-4172(2015)
[44] Zhuravlova, Z. Y. The plane mixed elastic problem for the semi-infinite strip. The Odessa's National University Vestnik, 3, 66-75(2014)
[45] Vaysfel'd, N., Kryvyi, O., and Zhuravlova, Z. On the stress investigation at the edge of the fixed elastic semi-strip. Frattura ed Integrita Strutturale, 38, 1-11(2016) |