100
9 Plane Problem of Elasticity Theory
4. For strong rocks with low ratios of ultimate tensile and compressive strength,
the break-off stress in the destruction plane almost coincides with the equivalent
Mohr stress, so the value of this stress can be taken as the ultimate tensile
strength.
References
1. Betony. Metody opredeleniya prochnosti po kontrol’nym obraztsam (Concretes. Methods for
determining the strength of control samples)n.d. Betony. Metody opredeleniya prochnosti po
kontrol’nym obraztsam (Concretes. Methods for determining the strength of control samples)
(n.d.)
2. Instruktsiya po inzhenernym izyskaniyam v gornykh vyrabotkakh, prednaznachaemykh dlya
razmeshcheniya ob"ektov narodnogo khozyaistva (Instructions for engineering surveys in mine
workings intended for the placement of objects of the national economy) 1976 Instruktsiya po
inzhenernym izyskaniyam v gornykh vyrabotkakh, prednaznachaemykh dlya razmeshcheniya
ob"ektov narodnogo khozyaistva (Instructions for engineering surveys in mine workings
intended for the placement of objects of the national economy). (Min. of the USSR on Affairs
of construction Publ., Moscow, 1976)
3. Izdeliya khimicheski stoikie i termostoikie keramicheskie. Metod opredeleniya predela
prochnosti pri razryve: GOST 473.7–81. Vzamen GOST 473.7–72; vved. 1982–06–01
(Chemical-resistant and heat-resistant ceramic products. The method of determining the
tensile strength at break: GOST 473.7–81. Instead of GOST 473.7–72; introduced 1982–
06–01)n.d. Izdeliya khimicheski stoikie i termostoikie keramicheskie. Metod opredeleniya
predela prochnosti pri razryve: GOST 473.7–81. Vzamen GOST 473.7–72; vved. 1982–06–01
(Chemical-resistant and heat-resistant ceramic products. The method of determining the tensile
strength at break: GOST 473.7–81. Instead of GOST 473.7–72; introduced 1982–06–01) (n.d.)
4. Izdeliya uglerodnye. Metody opredeleniya predela prochnosti na szhatie, izgib, razryv (diametral’noe szhatie): GOST 23775–79. – Vved. 1981.01.01. (Carbon products. Methods for
determining the ultimate strength for compression, bending, and rupture (Diametric compression): GOST 23775–79. Entered 1981.01.01.)n.d. Izdeliya uglerodnye. Metody opredeleniya
predela prochnosti na szhatie, izgib, razryv (diametral’noe szhatie): GOST 23775–79. Vved.
1981.01.01. (Carbon products. Methods for determining the ultimate strength for compression,
bending, and rupture (Diametric compression): GOST 23775–79. Entered 1981.01.01.) (n.d.)
5. M. Lavrent’ev, B. Shabat, Metody teorii funktsii kompleksnogo. Izd. 3-e (Methods of the theory
of functions of a complex variable. Ed. 3). (Nauka Publ., Moscow, 1965)
6. A. Lur’e, Teoriya uprugosti (Theory of elastic strength). (Nauka Publ., Moscow, 1970)
7. V. Molotnikov, Metody modelirovaniya v zemledel’cheskoi mekhanike (Modeling methods in
agricultural mechanics). Ph.D. thesis, Sankt-Peterburg, ASFI, 1994
8. V. Molotnikov, A. Molotnikova, Zamechaniya k brazil’skomu metodu opredeleniya predela
prochnosti pri rastyazhenii khrupkikh materialov (Notes on the Brazilian method for determining the tensile strength of brittle materials). Vestn. Donsk. gos. tekhn. un-ta (Bulletin of the
don state technical University) 4(79), 30–38 (2014)
9. N. Muskhelishvili, Nekotorye osnovnye zadachi matematicheskoi teorii uprugosti (Some main
problems of mathematical theory elasticity). (Nauka Publ., Moscow, 1966)
10. T. Rodriguez, C. Navarro, V. Sanchez-Galvez, Splitting tests: an alternative to determine the
dynamic tensile strength of ceramic materials. J. Phys. IV, 101–106. (1994)
11. A. Spivak, A. Popov, Razrushenie gornykh porod pri burenii skvazhin: uchebn. dlya vuzov
(Destruction of rocks during well drilling: training. for higher education institutions). (Nedra
Publ., Moscow, 1986)
9 Plane Problem of Elasticity Theory
4. For strong rocks with low ratios of ultimate tensile and compressive strength,
the break-off stress in the destruction plane almost coincides with the equivalent
Mohr stress, so the value of this stress can be taken as the ultimate tensile
strength.
References
1. Betony. Metody opredeleniya prochnosti po kontrol’nym obraztsam (Concretes. Methods for
determining the strength of control samples)n.d. Betony. Metody opredeleniya prochnosti po
kontrol’nym obraztsam (Concretes. Methods for determining the strength of control samples)
(n.d.)
2. Instruktsiya po inzhenernym izyskaniyam v gornykh vyrabotkakh, prednaznachaemykh dlya
razmeshcheniya ob"ektov narodnogo khozyaistva (Instructions for engineering surveys in mine
workings intended for the placement of objects of the national economy) 1976 Instruktsiya po
inzhenernym izyskaniyam v gornykh vyrabotkakh, prednaznachaemykh dlya razmeshcheniya
ob"ektov narodnogo khozyaistva (Instructions for engineering surveys in mine workings
intended for the placement of objects of the national economy). (Min. of the USSR on Affairs
of construction Publ., Moscow, 1976)
3. Izdeliya khimicheski stoikie i termostoikie keramicheskie. Metod opredeleniya predela
prochnosti pri razryve: GOST 473.7–81. Vzamen GOST 473.7–72; vved. 1982–06–01
(Chemical-resistant and heat-resistant ceramic products. The method of determining the
tensile strength at break: GOST 473.7–81. Instead of GOST 473.7–72; introduced 1982–
06–01)n.d. Izdeliya khimicheski stoikie i termostoikie keramicheskie. Metod opredeleniya
predela prochnosti pri razryve: GOST 473.7–81. Vzamen GOST 473.7–72; vved. 1982–06–01
(Chemical-resistant and heat-resistant ceramic products. The method of determining the tensile
strength at break: GOST 473.7–81. Instead of GOST 473.7–72; introduced 1982–06–01) (n.d.)
4. Izdeliya uglerodnye. Metody opredeleniya predela prochnosti na szhatie, izgib, razryv (diametral’noe szhatie): GOST 23775–79. – Vved. 1981.01.01. (Carbon products. Methods for
determining the ultimate strength for compression, bending, and rupture (Diametric compression): GOST 23775–79. Entered 1981.01.01.)n.d. Izdeliya uglerodnye. Metody opredeleniya
predela prochnosti na szhatie, izgib, razryv (diametral’noe szhatie): GOST 23775–79. Vved.
1981.01.01. (Carbon products. Methods for determining the ultimate strength for compression,
bending, and rupture (Diametric compression): GOST 23775–79. Entered 1981.01.01.) (n.d.)
5. M. Lavrent’ev, B. Shabat, Metody teorii funktsii kompleksnogo. Izd. 3-e (Methods of the theory
of functions of a complex variable. Ed. 3). (Nauka Publ., Moscow, 1965)
6. A. Lur’e, Teoriya uprugosti (Theory of elastic strength). (Nauka Publ., Moscow, 1970)
7. V. Molotnikov, Metody modelirovaniya v zemledel’cheskoi mekhanike (Modeling methods in
agricultural mechanics). Ph.D. thesis, Sankt-Peterburg, ASFI, 1994
8. V. Molotnikov, A. Molotnikova, Zamechaniya k brazil’skomu metodu opredeleniya predela
prochnosti pri rastyazhenii khrupkikh materialov (Notes on the Brazilian method for determining the tensile strength of brittle materials). Vestn. Donsk. gos. tekhn. un-ta (Bulletin of the
don state technical University) 4(79), 30–38 (2014)
9. N. Muskhelishvili, Nekotorye osnovnye zadachi matematicheskoi teorii uprugosti (Some main
problems of mathematical theory elasticity). (Nauka Publ., Moscow, 1966)
10. T. Rodriguez, C. Navarro, V. Sanchez-Galvez, Splitting tests: an alternative to determine the
dynamic tensile strength of ceramic materials. J. Phys. IV, 101–106. (1994)
11. A. Spivak, A. Popov, Razrushenie gornykh porod pri burenii skvazhin: uchebn. dlya vuzov
(Destruction of rocks during well drilling: training. for higher education institutions). (Nedra
Publ., Moscow, 1986)