 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
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| In English (Mech. Solids): | | 3212 |
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| S.A. Nazarov, "Surface Enthalpy and Quasistatic Propagation of Cracks in an Anisotropic Body," Mech. Solids. 45 (1), 57-66 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
1 |
Pages |
57-66 |
| DOI |
10.3103/S0025654410010097 |
| Title |
Surface Enthalpy and Quasistatic Propagation of Cracks in an Anisotropic Body |
| Author(s) |
S.A. Nazarov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, St. Petersburg, 199178 Russia, srgnazarov@yahoo.co.uk) |
| Abstract |
The notion of surface enthalpy is used to reformulate the criterion KII=0 of quasistatic propagation of a crack along a smooth trajectory and to adjust it to brittle anisotropic materials. |
| Keywords |
surface enthalpy, crack, stress intensity coefficient, invariant integral |
| References |
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Existence Theorems in Elasticity
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| 2. | Yu. N. Rabotnov,
Mechanics of Deformable Solids
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[in Russian]. |
| 3. | V. Z. Parton and B. A. Kudryavtsev,
Electromagnetoelasticity of Piezoelectric and Electrically Conducting Solids
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| 4. | V. T. Grinchenko, A. F. Ulitko, and N. A. Shul'ga,
Electroelasticity, Vol. 5,
Mechanics of Coupled Fields in Structural Elements
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| 5. | S. A. Nazarov,
"A Quasistatic Model of the Evolution of an Interface Inside a Deformed Solid,"
Prikl. Mat. Mekh.
70 (3), 458-472 (2006)
[J. Appl. Math. Mech. (Engl. Transl.)
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| 6. | S. A. Nazarov,
"Thin Elastic Coatings and Surface Enthalpy,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 60-74 (2007)
[Mech. Solids (Engl. Transl.)
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| 7. | S. G. Lekhnitskii,
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Dimension Reduction and Integral Estimates
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[in Russian]. |
| 9. | M. A. Grinfeld,
Methods of Continuum Mechanics in the Theory of Phase Transformations
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[in Russian]. |
| 10. | S. A. Nazarov,
"Asymptotic Simulation of Elastic Bodies with Damaged or Hardened Surfaces,"
Dokl. Ross. Akad. Nauk
415 (5), 611-616 (2007)
[Dokl. Phys. (Engl. Transl.)
52 (8), 436-441 (2007)]. |
| 11. | S. A. Nazarov,
"Eigenoscillations of an Elastic Body with a Rough Surface,"
Zh. Prikl. Mekh. Tekh. Fiz.
48 (6), 103-114 (2007)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
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| 12. | S. A. Nazarov,
"The Interface Crack in Anisotropic Bodies. Stress Singularities and Invariant Integrals,"
Prikl. Mat. Mekh.
62 (3), 489-502 (1998)
[J. Appl. Math. Mech. (Engl. Transl.)
62 (3), 453-464 (1998)]. |
| 13. | G. R. Irwin,
"Analysis of Stresses and Strains near the End of a Crack Traversing a Plate,"
Trans. ASME. J. Appl. Mech.
24 (3), 361-364 (1957). |
| 14. | V. V. Novozhilov,
"On the Foundations of a Theory of Equilibrium Cracks in Elastic Solids,"
Prikl. Mat. Mekh.
33 (5), 797-812 (1969)
[J. Appl. Math. Mech. (Engl. Transl.)
33 (5), 777-790 (1969)]. |
| 15. | S. A. Nazarov,
"Stress Intensity Factors and Crack Deviation Conditions in a Brittle Anisotropic Solid,"
Zh. Prikl. Mekh. Tekh. Fiz.
46 (3), 98-107 (2005)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
46 (3), 386-394 (2005)]. |
| 16. | M. Ya. Leonov and V. V. Panasyuk,
"Propagation of Very Small Cracks in Solids,"
Prikl. Mekh.
5 (4), 391-401 (1959). |
| 17. | D. S. Dugdale,
"Yielding of Steel Sheets Containing Slits,"
J. Mech. Phys. Solids
8 (2), 100-104 (1960). |
| 18. | G. I. Barenblatt,
"The Formation of Equilibrium Cracks during Brittle Fracture. General Ideas and Hypotheses. Axially-Symmetric Cracks,"
Prikl. Mat. Mekh.
23 (3), 434-444 (1959);
"Equilibrium Cracks Formed during Brittle Fracture Rectilinear Cracks in Plane Plates,"
Prikl. Mat. Mekh.
23 (4), 706-721 (1959);
"Concerning Equilibrium Cracks Forming during Brittle Fracture. The Stability of Isolated Cracks. Relationships with Energetic Theories,"
Prikl. Mat. Mekh.
23 (5), 893-900 (1959)
[J. Appl. Math. Mech. (Engl. Transl)
23 (3), 622-636 (1959);
23 (4), 1009-1029 (1959);
23 (5), 1273-1282 (1959)]. |
| 19. | F. Erdogan and G. C. Sih,
"On the Crack Extension in Plates under Plane Loading and Transverse Shear,"
Trans. ASME. Ser. D. J. Basic Engng
85 (4), 519-527 (1963). |
| 20. | G. P. Cherepanov,
"Cracks in Solids,"
Int. J. Solids Struct.
4 (8), 811-831 (1968). |
| 21. | G. P. Cherepanov,
Mechanics of Brittle Fracture
(Nauka, Moscow, 1974; McGraw-Hill, New York, 1979). |
| 22. | S. A. Nazarov,
"Crack Growth Direction According to the Novozhilov Criterion,"
Dokl. Ross. Akad. Nauk
396 (5), 620-623 (2004)
[Dokl. Phys. (Engl. Transl.)
49 (6), 383-385 (2004)] |
| 23. | D. Leguillon and E. Sanchez-Palencia,
"Fracture in Heterogeneous Materials. Weak and Strong Singularities,"
in New Advances in Computational Structural Mechanics,
Ed. by P. Ladevese and O. C. Zienkievicz
(Elsevier, New York, 1992),
pp. 423-434. |
| 24. | G. P. Cherepanov,
"Crack Propagation in Continuous Media,"
Prikl. Mat. Mekh.
31 (3), 476-488 (1967)
[J. Appl. Math. Mech. (Engl. Transl.)
31 (3), 503-512 (1967)]. |
| 25. | J. R. Rice,
"A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks,"
Trans. ASME. Ser. E. J. Appl. Mech.
35 (2), 379-386 (1968). |
| 26. | J. K. Knowles and E. Sternberg,
"On a Class of Conservation Laws in Linearized and Finite Elastostatics,"
Arch. Rat. Mech. Anal.
44 (3), 187-211 (1972). |
| 27. | J. Dundurs,
"Effect of Elastic Constants on Stress in a Composite under Plane Deformation,"
J. Comp. Mat.
1 (3), 310-322 (1967). |
| 28. | S. A. Nazarov,
"A Crack at the Interface of Anisotropic Bodies. Singularities of the Elastic Fields and a Criterion for Fracture When the Crack Surfaces are in Contact,"
Prikl. Mat. Mekh.
69 (3), 520-532 (2005)
[J. Appl. Math. Mech. (Engl. Transl.)
69 (3), 473-483 (2005)]. |
| 29. | R. V. Goldstein and R. L. Salganik,
"On Cracks Propagating between Plane Plates along Rectilinear Pasting Boundary,"
Zh. Prikl. Mekh. Tekh. Fiz.,
No. 5, 62-68 (1963). |
| 30. | M. Comninou,
"The Interface Crack,"
Trans. ASME. Ser. E. J. Appl. Mech.
44 (4), 631-636 (1977). |
|
| Received |
17 January 2008 |
| Link to Fulltext |
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