Citation: Bohdan Stasyuk. Interacting cracks 3D analysis using boundary integral equation method[J]. AIMS Materials Science, 2016, 3(4): 1796-1810. doi: 10.3934/matersci.2016.4.1796
[1] | Berezhnytskyi LT, Panasiuk VV, Stashchuk NH (1983) Interaction of rigid linear inclusions and cracks in the deformable body, Kiev: Naukova Dumka, 288 [in Russian]. |
[2] | Savruk MP (1981) Two-dimensional elasticity problem for bodies with cracks, Kiev: Naukova Dumka, 323 [in Russian]. |
[3] | Guz AN, Dyshel MS, Nazarenko VM (2004) Fracture and stability of materials and structural members with cracks: Approaches and results. Int Appl Mech 40: 1323–1359. doi: 10.1007/s10778-005-0040-5 |
[4] | Kassir MK, Sih GC (1975) Mechanics of fracture. Three dimensional crack problems, Leyden: Netherlands Noordhoff International Publishing, 452. |
[5] | Kit GS, Khai MV, Laushnyk IA (1978) The first main problem of the elasticity theory for bodies with penny-shaped cracks. Math Method Phys-Mech 7: 26–32 [in Russian]. |
[6] | Kit GS, Khai MV (1989) Potential Method in Three-Dimensional Thermoelastic Problems of Cracked Bodies, Kiev: Naukova Dumka, 284 [in Russian]. |
[7] | Saha TK, Chatterjee M, Roy A (1999) Interaction between coplanar elliptic cracks-II Shear Loading. Int J Solids Struct 36: 619–637. doi: 10.1016/S0020-7683(98)00038-9 |
[8] | Saha TK, Ganguly S (2005) Interaction of a penny-shaped crack with an elliptic crack under shear loading. Int J Fracture 131: 267–287. doi: 10.1007/s10704-004-5104-8 |
[9] | Balas J, Sladek J, Sladek V (1989) Stress Analysis by Boundary Element Methods, Amsterdam: Elsevier, 686. |
[10] | Gaul L, Kögl M, Wagner M (2003) Boundary Element Methods for Engineers and Scientists, Berlin-Heidelberg: Springer, 489. |
[11] | Kachanov M (1987) Elastic solids with many cracks: a simple method of analysis. Int J Solids Struct 23: 23–45. doi: 10.1016/0020-7683(87)90030-8 |
[12] | Stasyuk BM (2009) Method of effective stress field in three-dimensional problems of interaction of plane cracks. Mater Sci 45: 28–40. doi: 10.1007/s11003-009-9157-8 |
[13] | Andreykiv OY (1982) Three-Dimensional Problems of Crack Theory, Kiev: Naukova Dumka, 345 [in Russian]. |
[14] | Stankevich VZ, Khai MV (2002) Study into the Interaction of Cracks in an Elastic Half-Space under a Shock Load by Means of Boundary Integral Equations. Int Appl Mech 38: 440–446. doi: 10.1023/A:1016220628759 |