Abstract
Some nonclassical problems of fracture mechanics that have been analyzed by the author and his collaborators at the Institute of Mechanics (Kiev) during the past thirty years are considered in brief
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REFERENCES
S. D. Akbarov and A. N. Guz', “The mechanics of composites with curved structures (review). The continual theory and fibrous materials,” Prikl. Mekh., 27, No. 5, 3–20 (1991).
S. D. Akbarov and A. N. Guz', “The mechanics of composites with curved structures (review). Laminated materials,” Prikl. Mekh., 27, No. 6, 3–21 (1991).
S. D. Akbarov, A. N. Guz', É. A. Movsumov, and S. M. Mustafaev, The Mechanics of Materials with Curved Structures, Vol. 4 of the 12-volume series, A. N. Guz' (general editor), The Mechanics of Composites [in Russian], Naukova Dumka, Kiev (1995).
A. N. Guz', “Determination of the theoretical ultimate compression strength for reinforced materials,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 3, 235–238 (1969).
A. N. Guz', The Stability of Three-Dimensional Deformable Bodies [in Russian], Naukova Dumka, Kiev (1971).
A. N. Guz', The Stability of Elastic Bodies with Finite Strains [in Russian], Naukova Dumka, Kiev (1973).
A. N. Guz', The Brittle-Fracture Mechanics of Initially Stressed Materials [in Russian], Naukova Dumka, Kiev (1983).
A. N. Guz', “Construction of the fundamentals for the brittle-fracture mechanics of initially stressed materials,” Prikl. Mekh., 19, No. 4, 3–23 (1983).
A. N. Guz', Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies [in Russian], Vyshcha Shkola, Kiev (1986).
A. N. Guz', The Fracture Mechanics of Compressed Composites [in Russian], Naukova Dumka, Kiev (1990).
A. N. Guz', The Brittle Fracture of Initially Stressed Materials, Vol. 2 of the four-volume five-book series, A. N. Guz' (general editor), Nonclassical Problems of Fracture Mechanics [in Russian], Naukova Dumka, Kiev (1991).
A. N. Guz', “Nonclassical fracture mechanisms and their description,” Prikl. Mekh., 29, No. 10, 8–18 (1993).
A. N. Guz', “Nonclassical problems of fracture mechanics,” Fiz.-Khim. Mekh. Mater., 29, No. 3, 86–97 (1993).
A. N. Guz' and M. Sh. Dyshel', “The fracture and stability of thin-walled bodies with cuts (review),” Prikl. Mekh., 26, No. 11, 3–24 (1990).
A. N. Guz ', M. Sh. Dyshel', G. G. Kuliev, and O. B. Milovanova, The Fracture and Stability of Thin Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1981).
A. N. Guz', M. Sh. Dyshel', and V. M. Nazarenko, The Fracture and Stability of Cracked Materials, Vol. 4, Book 1 of the four-volume five-book series, A. N. Guz' (general editor), Nonclassical Problems of Fracture Mechanics [in Russian], Naukova Dumka, Kiev (1992).
A. N. Guz' and V. V. Zozulya, The Brittle Fracture of Materials under Dynamic Loads, Vol 4, Book 2 of the four-volume five-book series, A. N. Guz' (general editor), Nonclassical Problems of Fracture Mechanics [in Russian], Naukova Dumka, Kiev (1993).
A. N. Guz' and V. V. Zozulya, “Problems of dynamic fracture mechanics with noncontacting crack faces (review),” Prikl. Mekh., 30, No. 10, 3–22 (1994).
A. N. Guz' and V. V. Zozulya, “Problems of dynamic fracture mechanics with contacting crack faces (review),” Prikl. Mekh., 31, No. 1, 3–36 (1995).
A. N. Guz' and V. V. Zozulya, “Allowance for the contact of the crack faces under dynamic loads,” Fiz.-Khim. Mekh. Mater., 32, No. 1, 38–52 (1996).
A. N. Guz' and Yu. V. Kokhanenko, “Boundary effects in composites,” Prikl. Mekh., 31. No. 3, 3–23 (1995).
A. N. Guz' and V. M. Nazarenko, “The fracture mechanics of materials compressed along cracks (review). Hyperelastic materials,” Prikl. Mekh., 25, No. 9, 3–22 (1989).
A. N. Guz' and V. M. Nazarenko, “The fracture mechanics of materials compressed along cracks (review). Structural materials,” Prikl. Mekh., 25, No. 10, 3–19 (1989).
A. N. Guz' and Vic. N. Chekhov, “Study of the surface instability of laminated bodies in a three-dimensional formulation,” Prikl. Mekh., 26, No. 2, 3–24 (1990).
V. V. Panasyuk (general editor), Handbook on Fracture Mechanics and Strength of Materials [in Russian], in four volumes, Naukova Dumka, Kiev (1988–1990).
A. N. Guz' (general editor), Nonclassical Problems of Fracture Mechanics [in Russian], in four volumes, five books, Naukova Dumka, Kiev (1990–1993).
B. Rosen, Fiber Composite Materials, American Society for Metals, Metals Park, Ohio (1965).
S. D. Akbarov, A. N. Guz, and N. Yahnioglu, “Mechanics of composite materials with curved structures and elements of constructions (review),” Int. Appl. Mech., 34, No. 11, 1067–1078 (1998).
L. J. Broutman and R. H. Krock, Composite Materials, Vols. 1–8, Academic Press, New York–London (1973–1976).
N. F. Dow and I. J. Gruntfest, “Determination of most needed potentially possible improvements in materials for ballistic and vehicles,” General Electric Co., Space Sci. Lab., TISR 60 SD 389, June (1960).
H. Liebowitz (chief editor), Fracture: An Advance Treatise, Vols. 1–7, Academic Press, New York–London (1968–1972).
G. P. Cherepanov (ed.), Fracture. A Topical Encyclopedia of Current Knowledge, Krieger Publishing Company, Malabar, Florida (1998).
A. A. Griffith, “The phenomena of fracture and flow in solids,” Phil. Trans. Roy. Soc. London A., 211, No. 2, 163–198 (1920).
A. N. Guz', “The study and analysis of non-classical problems of fracture and failure mechanics,” in: Book of Abstracts “IUTAM Symposium of nonlinear analysis of fracture,” (Cambridge, September 3–7) (1995).
A. N. Guz', “On non-classical problems and mechanisms of fracture mechanics and its description,” Int. Appl. Mech., 32, No. 11, 827–844 (1996).
A. N. Guz', “Non-classical problems of composite failure,” in:Advances in Fracture Research, ICFY, Sydney, Australia, Vol. 4 (1997), pp. 1911–1921.
A. N. Guz', Study and Analysis of Non-Classical Problems of Fracture and Failure Mechanics and Corresponding Mechanisms (a Lecture),Institute of Mechanics, Hanoi (1998).
A. N. Guz', “Some modern problems of physical mechanics of fracture,” in: G. P. Cherepanov, ed., Fracture. A Topical Encyclopedia of Current Knowledge, Krieger Publishing Company, Malabar, Florida (1998), pp. 709–720.
A. N. Guz', “ Exact solutions of mixed plane problems in linearized mechanics of deformable bodies (review),” Int. Appl. Mech., 34, No. 3, 203–231 (1998).
A. N. Guz', “Formulation of problems in dynamic fracture mechanics,” Int. Appl. Mech., 35, No. 6, 531–536 (1999).
A. N. Guz', Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer Verlag, Berlin (1999).
A. N. Guz' and Yu. N. Lapusta, “Three-dimensional problems of the near-surface instability of fiber composites in compression (model of a piecewise-uniform medium) (review),” Int. Appl. Mech., 35, No. 7, 634–658 (1999).
A. N. Guz ' and J. J. Rushchitsky, “Main Ukrainian historical and modern sources on mechanics: Focus on the S. P. Timoshenko Institute of Mechanics,” Appl. Mech., Rev., 51, No. 3, 199–208 (1998).
“Micromechanics of composite materials: Focus on Ukrainian research,” Special Issue of Applied Mechanics Reviews, 45, No. 2, 13–101 (1992).
I. W. Obreimoff, “The splitting strength of mica,” Proc. Roy. Soc. London A., 127, 290–297 (1930).
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Guz', A.N. Description and Study of Some Nonclassical Problems of Fracture Mechanics and Related Mechanisms. International Applied Mechanics 36, 1537–1564 (2000). https://doi.org/10.1023/A:1011374012608
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DOI: https://doi.org/10.1023/A:1011374012608