×
Compute Distance To:
Author ID: kachanov.mark-l Recent zbMATH articles by "Kachanov, Mark L."
Published as: Kachanov, Mark; Kachanov, M.; Kachanov, Mark L.
Documents Indexed: 57 Publications since 1982
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 30 Co-Authors with 34 Joint Publications
293 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 363 times in 283 Documents Cited by Year
Elastic solids with many cracks and related problems. Zbl 0803.73057
Kachanov, Mark
62
1994
Elastic solids with many cracks: a simple method of analysis. Zbl 0601.73096
Kachanov, Mark
60
1987
On quantitative characterization of microstructures and effective properties. Zbl 1101.74013
Kachanov, Mark; Sevostianov, Igor
56
2005
Explicit cross-property correlations for anisotropic two-phase composite materials. Zbl 1008.74003
Sevostianov, I.; Kachanov, M.
45
2002
Effect of interphase layers on the overall elastic and conductive properties of matrix composites. Applications to nanosize inclusion. Zbl 1124.74041
Sevostianov, Igor; Kachanov, Mark
25
2007
Effective elastic properties of an anisotropic material with arbitrarily oriented interacting cracks. Zbl 0803.73010
Mauge, C.; Kachanov, M.
22
1994
Relations between compliances of inhomogeneities having the same shape but different elastic constants. Zbl 1213.74081
Sevostianov, Igor; Kachanov, Mark
17
2007
On computation of the compliance and stiffness contribution tensors of non ellipsoidal inhomogeneities. Zbl 1169.74361
Sevostianov, I.; Kachanov, M.; Zohdi, T.
16
2008
Explicit cross-property correlations for porous materials with anisotropic microstructures. Zbl 0967.74050
Kachanov, M.; Sevostianov, I.; Shafiro, B.
15
2001
Effective moduli of an anisotropic material with elliptical holes of arbitrary orientational distribution. Zbl 0961.74054
Tsukrov, I.; Kachanov, M.
15
2000
Materials with fluid-filled pores of various shapes: Effective elastic properties and fluid pressure polarization. Zbl 0942.74611
Shafiro, B.; Kachanov, M.
14
1997
Penny-shaped and half-plane cracks in a transversely isotropic piezoelectric solid under arbitrary loading. Zbl 0963.74051
Karapetian, E.; Sevostianov, I.; Kachanov, M.
13
2000
On approximate symmetries of the elastic properties and elliptic orthotropy. Zbl 1213.74083
Sevostianov, Igor; Kachanov, Mark
13
2008
Interaction of a crack with a field of microcracks. Zbl 0515.73096
Chudnovsky, Alexander; Kachanov, Mark
12
1983
Elastic compliances of non-flat cracks. Zbl 1166.74420
Mear, Mark E.; Sevostianov, Igor; Kachanov, Mark
12
2007
On the modeling and design of piezocomposites with prescribed properties. Zbl 1092.74512
Sevostianov, I.; Levin, V.; Kachanov, M.
11
2001
Stiffness relations for piezoelectric indentation of flat and non-flat punches of arbitrary planform: Applications to probing nanoelectromechanical properties of materials. Zbl 1169.74033
Karapetian, Edgar; Kachanov, Mark; Kalinin, Sergei V.
11
2009
Connection between elastic and conductive properties of microstructures with Hertzian contacts. Zbl 1063.74085
Sevostianov, Igor; Kachanov, Mark
10
2004
Explicit elasticity-conductivity connections for composites with anisotropic inhomogeneities. Zbl 1170.74016
Sevostianov, Igor; Kachanov, Mark
9
2007
On the isotropic and anisotropic viscosity of suspensions containing particles of diverse shapes and orientations. Zbl 1423.76470
Kachanov, Mark; Abedian, Behrouz
8
2015
Normal and tangential compliances of interface of rough surfaces with contacts of elliptic shape. Zbl 1169.74510
Sevostianov, Igor; Kachanov, Mark
8
2008
Homogenization of a nanoparticle with graded interface. Zbl 1197.74086
Sevostianov, Igor; Kachanov, Mark
7
2006
Stress concentrations and microfracturing patterns in a brittle-elastic solid with interacting pores of diverse shapes. Zbl 0939.74589
Tsukrov, I.; Kachanov, M.
7
1997
Elastic interaction of a crack with a microcrack array. I: Formulation of the problem and general form of the solution. Zbl 0601.73097
Chudnovsky, A.; Dolgopolsky, A.; Kachanov, M.
6
1987
The principle of correspondence between elastic and piezoelectric problems. Zbl 1137.74355
Karapetian, E.; Kachanov, M.; Sevostianov, I.
5
2002
Local minima and gradients of stiffness and conductivity as indicators of strength reduction of brittle-elastic materials. Zbl 1273.74482
Sevostianov, Igor; Kachanov, Mark
5
2010
On a combined thermal/mechanical performance of a foam-filled sandwich panels. Zbl 1423.80021
Solyaev, Yury; Lurie, Sergey; Koshurina, Alla; Dobryanskiy, Vasiliy; Kachanov, Mark
5
2019
Contact of rough surfaces: A simple model for elasticity, conductivity and cross-property connections. Zbl 1171.74393
Sevostianov, Igor; Kachanov, Mark
5
2008
Screw dislocation in a nonlinear elastic continuum. Zbl 0489.73122
Kachanov, Mark L.
4
1982
Green’s functions for the isotropic or transversely isotropic space containing a circular crack. Zbl 0897.73050
Karapetian, E.; Kachanov, M.
4
1998
Crack approaching a domain having the same elastic properties but different fracture toughness: crack deflection vs penetration. Zbl 07261131
Pronina, Yulia; Maksimov, Alexander; Kachanov, Mark
4
2020
On perfectly plastic flow in porous material. Zbl 1032.74628
Zohdi, T. I.; Kachanov, M.; Sevostianov, I.
4
2002
The principle of correspondence between elastic and piezoelectric problems. Zbl 1027.74023
Karapetian, E.; Kachanov, M.; Sevostianov, I.
4
2002
Sliding on cracks with non-uniform frictional characteristics. Zbl 1022.74038
Gorbatikh, Larissa; Nuller, Boris; Kachanov, Mark
4
2001
Incremental compliance and resistance of contacts and contact clusters: implications of the cross-property connection. Zbl 1213.74236
Sevostianov, Igor; Kachanov, Mark
4
2009
A note on the micromechanics of plastic yield of porous solids. Zbl 1196.74043
Zohdi, T. I.; Kachanov, M.
3
2005
Elastic compliances and stress intensity factors of multi-link zig-zag cracks. Zbl 07167849
Martynyuk, M.; Kachanov, Mark
3
2020
On absence of quantitative correlations between strength and stiffness in microcracking materials. Zbl 1273.74429
Caiulo, Anthony; Kachanov, Mark
3
2010
Three-dimensional interactions of a half-plane crack with point forces, dipoles and moments. Zbl 0942.74635
Kachanov, M.; Karapetian, E.
3
1997
Contacting rough surfaces: Hertzian contacts versus welded areas. Zbl 1198.74054
Sevostianov, Igor; Kachanov, Mark
2
2007
On monitoring the incubation stage of stress corrosion cracking in steel by the eddy current method. Zbl 07167847
Butusova, Ye. N.; Mishakin, V. V.; Kachanov, Mark
2
2020
Rough contacting surfaces with elevated contact areas. Zbl 1476.74115
Lapin, Ruslan L.; Kuzkin, Vitaly A.; Kachanov, Mark
2
2019
Non-uniform frictional sliding under cyclic loading with frictional characteristics changing in the process of sliding. Zbl 1090.74638
Gorbatikh, Larissa; Nuller, Boris; Kachanov, Mark
2
2002
Elastic interaction of a crack with a microcrack array. II: Elastic solution for two crack configurations (piecewise constant and linear approximations). Zbl 0601.73098
Chudnovsky, A.; Dolgopolsky, A.; Kachanov, M.
2
1987
On the concept of “far points” in Hertz contact problems. Zbl 1423.74655
Argatov, Ivan; Kachanov, Mark; Mishuris, Gennady
2
2017
On the anisotropy of cracked solids. Zbl 1423.74192
Lapin, Ruslan L.; Kuzkin, Vitaly A.; Kachanov, Mark
2
2018
Solids with non-spherical cavities: Simplified representations of cavity compliance tensors and the overall anisotropy. Zbl 0978.74009
Shafiro, B.; Kachanov, M.
1
1999
Evaluation of the incremental compliances of non-elliptical contacts by treating them as external cracks. Zbl 1478.74063
Sevostianov, I.; Kachanov, M.
1
2021
Symmetric arrangements of cracks with perturbed symmetry: extremal properties of perturbed configurations. Zbl 07498563
Abakarov, Abdulla; Pronina, Yulia; Kachanov, Mark
1
2022
Three-dimensional interactions of a circular crack with dipoles, centers of dilatation and moments. Zbl 0919.73230
Karapetian, E.; Kachanov, M.
1
1996
Contacts and cracks of complex shapes: crack-contact dualities and relations between normal and shear compliances. Zbl 1423.74058
Kiris, Ahmet; Kachanov, Mark
1
2012
On modelling of “winged” cracks forming under compression. Zbl 1066.74052
Lehner, Florian; Kachanov, Mark
1
2001
On low-cycle fatigue of austenitic steel. I: Changes of Poisson’s ratio and elastic anisotropy. Zbl 07411537
Mishakin, V. V.; Gonchar, A. V.; Kurashkin, K. V.; Klyushnikov, V. A.; Kachanov, M.
1
2021
Symmetric arrangements of cracks with perturbed symmetry: extremal properties of perturbed configurations. Zbl 07498563
Abakarov, Abdulla; Pronina, Yulia; Kachanov, Mark
1
2022
Evaluation of the incremental compliances of non-elliptical contacts by treating them as external cracks. Zbl 1478.74063
Sevostianov, I.; Kachanov, M.
1
2021
On low-cycle fatigue of austenitic steel. I: Changes of Poisson’s ratio and elastic anisotropy. Zbl 07411537
Mishakin, V. V.; Gonchar, A. V.; Kurashkin, K. V.; Klyushnikov, V. A.; Kachanov, M.
1
2021
Crack approaching a domain having the same elastic properties but different fracture toughness: crack deflection vs penetration. Zbl 07261131
Pronina, Yulia; Maksimov, Alexander; Kachanov, Mark
4
2020
Elastic compliances and stress intensity factors of multi-link zig-zag cracks. Zbl 07167849
Martynyuk, M.; Kachanov, Mark
3
2020
On monitoring the incubation stage of stress corrosion cracking in steel by the eddy current method. Zbl 07167847
Butusova, Ye. N.; Mishakin, V. V.; Kachanov, Mark
2
2020
On a combined thermal/mechanical performance of a foam-filled sandwich panels. Zbl 1423.80021
Solyaev, Yury; Lurie, Sergey; Koshurina, Alla; Dobryanskiy, Vasiliy; Kachanov, Mark
5
2019
Rough contacting surfaces with elevated contact areas. Zbl 1476.74115
Lapin, Ruslan L.; Kuzkin, Vitaly A.; Kachanov, Mark
2
2019
On the anisotropy of cracked solids. Zbl 1423.74192
Lapin, Ruslan L.; Kuzkin, Vitaly A.; Kachanov, Mark
2
2018
On the concept of “far points” in Hertz contact problems. Zbl 1423.74655
Argatov, Ivan; Kachanov, Mark; Mishuris, Gennady
2
2017
On the isotropic and anisotropic viscosity of suspensions containing particles of diverse shapes and orientations. Zbl 1423.76470
Kachanov, Mark; Abedian, Behrouz
8
2015
Contacts and cracks of complex shapes: crack-contact dualities and relations between normal and shear compliances. Zbl 1423.74058
Kiris, Ahmet; Kachanov, Mark
1
2012
Local minima and gradients of stiffness and conductivity as indicators of strength reduction of brittle-elastic materials. Zbl 1273.74482
Sevostianov, Igor; Kachanov, Mark
5
2010
On absence of quantitative correlations between strength and stiffness in microcracking materials. Zbl 1273.74429
Caiulo, Anthony; Kachanov, Mark
3
2010
Stiffness relations for piezoelectric indentation of flat and non-flat punches of arbitrary planform: Applications to probing nanoelectromechanical properties of materials. Zbl 1169.74033
Karapetian, Edgar; Kachanov, Mark; Kalinin, Sergei V.
11
2009
Incremental compliance and resistance of contacts and contact clusters: implications of the cross-property connection. Zbl 1213.74236
Sevostianov, Igor; Kachanov, Mark
4
2009
On computation of the compliance and stiffness contribution tensors of non ellipsoidal inhomogeneities. Zbl 1169.74361
Sevostianov, I.; Kachanov, M.; Zohdi, T.
16
2008
On approximate symmetries of the elastic properties and elliptic orthotropy. Zbl 1213.74083
Sevostianov, Igor; Kachanov, Mark
13
2008
Normal and tangential compliances of interface of rough surfaces with contacts of elliptic shape. Zbl 1169.74510
Sevostianov, Igor; Kachanov, Mark
8
2008
Contact of rough surfaces: A simple model for elasticity, conductivity and cross-property connections. Zbl 1171.74393
Sevostianov, Igor; Kachanov, Mark
5
2008
Effect of interphase layers on the overall elastic and conductive properties of matrix composites. Applications to nanosize inclusion. Zbl 1124.74041
Sevostianov, Igor; Kachanov, Mark
25
2007
Relations between compliances of inhomogeneities having the same shape but different elastic constants. Zbl 1213.74081
Sevostianov, Igor; Kachanov, Mark
17
2007
Elastic compliances of non-flat cracks. Zbl 1166.74420
Mear, Mark E.; Sevostianov, Igor; Kachanov, Mark
12
2007
Explicit elasticity-conductivity connections for composites with anisotropic inhomogeneities. Zbl 1170.74016
Sevostianov, Igor; Kachanov, Mark
9
2007
Contacting rough surfaces: Hertzian contacts versus welded areas. Zbl 1198.74054
Sevostianov, Igor; Kachanov, Mark
2
2007
Homogenization of a nanoparticle with graded interface. Zbl 1197.74086
Sevostianov, Igor; Kachanov, Mark
7
2006
On quantitative characterization of microstructures and effective properties. Zbl 1101.74013
Kachanov, Mark; Sevostianov, Igor
56
2005
A note on the micromechanics of plastic yield of porous solids. Zbl 1196.74043
Zohdi, T. I.; Kachanov, M.
3
2005
Connection between elastic and conductive properties of microstructures with Hertzian contacts. Zbl 1063.74085
Sevostianov, Igor; Kachanov, Mark
10
2004
Explicit cross-property correlations for anisotropic two-phase composite materials. Zbl 1008.74003
Sevostianov, I.; Kachanov, M.
45
2002
The principle of correspondence between elastic and piezoelectric problems. Zbl 1137.74355
Karapetian, E.; Kachanov, M.; Sevostianov, I.
5
2002
On perfectly plastic flow in porous material. Zbl 1032.74628
Zohdi, T. I.; Kachanov, M.; Sevostianov, I.
4
2002
The principle of correspondence between elastic and piezoelectric problems. Zbl 1027.74023
Karapetian, E.; Kachanov, M.; Sevostianov, I.
4
2002
Non-uniform frictional sliding under cyclic loading with frictional characteristics changing in the process of sliding. Zbl 1090.74638
Gorbatikh, Larissa; Nuller, Boris; Kachanov, Mark
2
2002
Explicit cross-property correlations for porous materials with anisotropic microstructures. Zbl 0967.74050
Kachanov, M.; Sevostianov, I.; Shafiro, B.
15
2001
On the modeling and design of piezocomposites with prescribed properties. Zbl 1092.74512
Sevostianov, I.; Levin, V.; Kachanov, M.
11
2001
Sliding on cracks with non-uniform frictional characteristics. Zbl 1022.74038
Gorbatikh, Larissa; Nuller, Boris; Kachanov, Mark
4
2001
On modelling of “winged” cracks forming under compression. Zbl 1066.74052
Lehner, Florian; Kachanov, Mark
1
2001
Effective moduli of an anisotropic material with elliptical holes of arbitrary orientational distribution. Zbl 0961.74054
Tsukrov, I.; Kachanov, M.
15
2000
Penny-shaped and half-plane cracks in a transversely isotropic piezoelectric solid under arbitrary loading. Zbl 0963.74051
Karapetian, E.; Sevostianov, I.; Kachanov, M.
13
2000
Solids with non-spherical cavities: Simplified representations of cavity compliance tensors and the overall anisotropy. Zbl 0978.74009
Shafiro, B.; Kachanov, M.
1
1999
Green’s functions for the isotropic or transversely isotropic space containing a circular crack. Zbl 0897.73050
Karapetian, E.; Kachanov, M.
4
1998
Materials with fluid-filled pores of various shapes: Effective elastic properties and fluid pressure polarization. Zbl 0942.74611
Shafiro, B.; Kachanov, M.
14
1997
Stress concentrations and microfracturing patterns in a brittle-elastic solid with interacting pores of diverse shapes. Zbl 0939.74589
Tsukrov, I.; Kachanov, M.
7
1997
Three-dimensional interactions of a half-plane crack with point forces, dipoles and moments. Zbl 0942.74635
Kachanov, M.; Karapetian, E.
3
1997
Three-dimensional interactions of a circular crack with dipoles, centers of dilatation and moments. Zbl 0919.73230
Karapetian, E.; Kachanov, M.
1
1996
Elastic solids with many cracks and related problems. Zbl 0803.73057
Kachanov, Mark
62
1994
Effective elastic properties of an anisotropic material with arbitrarily oriented interacting cracks. Zbl 0803.73010
Mauge, C.; Kachanov, M.
22
1994
Elastic solids with many cracks: a simple method of analysis. Zbl 0601.73096
Kachanov, Mark
60
1987
Elastic interaction of a crack with a microcrack array. I: Formulation of the problem and general form of the solution. Zbl 0601.73097
Chudnovsky, A.; Dolgopolsky, A.; Kachanov, M.
6
1987
Elastic interaction of a crack with a microcrack array. II: Elastic solution for two crack configurations (piecewise constant and linear approximations). Zbl 0601.73098
Chudnovsky, A.; Dolgopolsky, A.; Kachanov, M.
2
1987
Interaction of a crack with a field of microcracks. Zbl 0515.73096
Chudnovsky, Alexander; Kachanov, Mark
12
1983
Screw dislocation in a nonlinear elastic continuum. Zbl 0489.73122
Kachanov, Mark L.
4
1982
all top 5

Cited by 473 Authors

48 Sevostianov, Igor
18 Kachanov, Mark L.
10 Kushch, Volodymyr I.
9 Giraud, Albert
6 Argatov, Ivan I.
6 Mogilevskaya, Sofia G.
6 Zohdi, Tarek I.
5 Pronina, Yulia
4 Ghayesh, Mergen H.
4 Gholipour, Alireza
4 Levin, Valery M.
4 Pan, Ernian
4 Vilchevskaya, Elena N.
4 Weng, George J.
4 Zander, Anthony C.
4 Zhang, Chuanzeng
3 Barthelemy, Jean-Francois M.
3 Chen, Yizhou
3 Desmorat, Rodrigue
3 Eremeyev, Victor A.
3 Georgiades, A. V.
3 Giordano, Stefano
3 Gorbatikh, Larissa
3 Guz, Igor A.
3 Hadjiloizi, D. A.
3 Kalamkarov, Alexander L.
3 Kolev, Boris
3 Mazloum, Aref
3 Menshykov, Oleksandr V.
3 Pesetskaya, Ekaterina V.
3 Radi, Enrico
3 Sabina, Federico J.
3 Stolarski, Henryk K.
3 Xia, Xiaodong
3 Zimmerman, Robert W.
2 Abakarov, Abdulla
2 Abedian, Behrouz
2 Altenbach, Holm
2 Belytschko, Ted Bohdan
2 Berndt, Edward A.
2 Böhm, Helmut J.
2 Chen, Fengjuan
2 Chen, Weiqiu
2 Chen, Youliang
2 Crouch, Steven L.
2 Denoual, Christophe
2 Desmorat, Boris
2 Do, Duc Phi
2 Dragon, André
2 Eskandari-Ghadi, Morteza
2 Grgic, Dragan
2 Guerrero, Felicia
2 Guo, Zhao
2 Halm, Damien
2 Hild, François
2 Hoxha, Dashnor
2 Huang, Yonggang Young
2 Jothi, S. Nithyanantha
2 Kalinin, Sergei V.
2 Kanaun, Sergei K.
2 Khoroshun, Leonid Petrovich
2 Knyazeva, Anna Georgievna
2 Kowalczyk-Gajewska, Katarzyna
2 Kuzkin, Vitaly A.
2 Lapin, Ruslan L.
2 Li, Shaofan
2 Linkov, Aleksandr M.
2 Lomov, Stepan V.
2 Ma, Hang
2 Magnenet, Vincent
2 Menshykova, Maryna V.
2 Mishuris, Gennady S.
2 Mukhopadhyay, N. K.
2 Nazarenko, Lidiia
2 Olive, Marc
2 Picazo, Mario
2 Psaltis, Peter J.
2 Ramesh, K. T.
2 Raoofian-Naeeni, Mehdi
2 Rodin, Gregory Jl
2 Solyaev, Yury O.
2 Trofimov, Anton Vladimirovich
2 Verpoest, Ignace
2 Vorob’ev, Oleg Yu.
2 Wang, Gang
2 Yan, Xiangqiao
2 Zhou, Yueting
2 Zou, Wennan
1 Abaimov, Sergey G.
1 Abbasion, Saeed
1 Agarwal, Ankit
1 Akhatov, Iskander Sh.
1 Aleshina, V.
1 Allen, David H.
1 Alpa, Giovanni
1 Anisimova, Maria
1 Ara, Ismat
1 Arfaoui, Makrem
1 Argyris, John Hadji
1 Armstrong, Terry W.
...and 373 more Authors
all top 5

Cited in 43 Serials

95 International Journal of Engineering Science
24 European Journal of Mechanics. A. Solids
22 International Journal of Fracture
18 Journal of the Mechanics and Physics of Solids
15 Mathematics and Mechanics of Solids
14 Acta Mechanica
13 International Journal of Solids and Structures
10 Computer Methods in Applied Mechanics and Engineering
9 International Journal for Numerical Methods in Engineering
9 Engineering Analysis with Boundary Elements
4 Applied Mathematical Modelling
4 Acta Mechanica Sinica
3 Computational Mechanics
3 Journal of Elasticity
3 Journal of Shanghai University
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Mechanica Sinica. (English Edition)
2 Archive of Applied Mechanics
2 Continuum Mechanics and Thermodynamics
2 Mathematical Problems in Engineering
1 Modern Physics Letters B
1 International Journal for Numerical and Analytical Methods in Geomechanics
1 International Journal of Theoretical Physics
1 Journal of Applied Mathematics and Mechanics
1 Journal of Engineering Mathematics
1 Wave Motion
1 Prikladnaya Matematika i Mekhanika
1 Journal of Computational and Applied Mathematics
1 Applied Mathematics Letters
1 International Applied Mechanics
1 Journal of Applied Mechanics and Technical Physics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Lobachevskii Journal of Mathematics
1 Archives of Computational Methods in Engineering
1 Waves in Random and Complex Media
1 Complex Variables and Elliptic Equations
1 Chebyshevskiĭ Sbornik
1 Science China. Technological Sciences
1 International Journal of Applied and Computational Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year