2010/10/29 by Gennady Mishuris, Mishuris, Gennady, Alexander Movchan +7
Engineering · Mathematics · Physics and Astronomy · #Composite Material Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mechanical Behavior of Composites #Numerical methods in engineering #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1010.6223
10 pages, 4 figures, added references, corrected typos, slightly changed introduction and conclusion
openalex publication_date 2010/10/29 · arxiv created 2011/05/10 · arxiv updated 2011/05/11 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28
The interaction of an interfacial crack with small impurities is analysed on the basis of an asymptotic formula derived by the authors. The interaction between the main crack and the defects (e.g. small cracks or inclusions) is described asymptotically by analysing the dipole fields and the corresponding dipole matrices of the defects in question. The method is generic, and it serves interfacial cracks with general distributed loading on the crack faces, taking into account possible asymmetry in the boundary conditions, and in a particular configuration for a crack in a homogeneous medium results agree with those obtained earlier by Gong (1995). Shielding and amplification effects of the defects on the propagation of the main crack along the interface are investigated. Numerical computations based on the explicit analytical formulae show potential applications in the design of composite and fiber reinforced materials.