id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
fis-2297	Profant, Tomas; Hrstka, Miroslav; Klusak, Jan	Microcrack interaction with circular inclusion and interfacial zone	2019	10	.pdf	application/pdf	5653	260	59	This process is modelled by introducing the density of the Burgers vector ( )ˆ ˆ Y B X and ( )ˆ ˆ X B X , which is in relation with Burgers vector ( )ˆ ˆ, X Y b b=b as follows ( ) ( ) ( ) ( )ˆ ˆ ˆ ˆ ˆ ˆd d ˆ ˆ, ,ˆ ˆd d Y X Y X b b B B X X X = X = X X (22) T. Profant et alii, Frattura ed Integrità Strutturale, 48 (2019) 503-512; DOI: 10.3221/IGF-ESIS.48.48 508 where ˆ ˆ cos sin , sin cos . Finally, the boundary conditions (8) and (9) in the inner problem formulation (7), lead to the solution of the following system of the singular integral equations following from the above mentioned transformations of (10) ( ) ( ) ( ) ( ) ( ) ( ) 1 (0 ) 1 ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆˆˆ 1 0 2ˆ ˆ ˆ ˆ ˆˆ ˆ ˆ; ; dˆˆ1yy X XYY Y YYY T X B H X B H X X m e p k é ùæ ö÷çê ú= X X + X + X X÷ç ÷çê úè ø+ -Xë û ò , (24) ( ) ( ) ( ) ( ) ( ) ( ) 1 (0 ) 1 ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆˆ̂ 1 0 2ˆ ˆ ˆ ˆ ˆˆ ˆ ˆ; ; dˆˆ1xy X XXY Y YXY T X B H X B H X X m e p k é ùæ ö÷çê ú= X + X + X X X÷ç ÷çê úè ø+ -Xë û ò (25) and integral equations ensuring the closed crack tips ( ) ( ) 1 1 ˆ ˆ 0 0	cache/fis-2297.pdf	txt/fis-2297.txt