id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
fumecheng-10626	Filippov, Alexander E.; Popov, Valentin L.	NUMERICAL SIMULATION OF DYNAMICS OF BLOCK MEDIA BY MOVABLE LATTICE AND MOVABLE AUTOMATA METHODS	2023	22	.pdf	application/pdf	8329	469	58	The equations of the BK model can be written in the following form: Block-media Motion Lattice and Movable Automata Numerical Models 555 ( ) ( ) 2 2 1 1 12 2 ( ) j j j j j j u m k u u u k vt u F v t + −  = + − + − −  , (1) where v=const is the external driving velocity and vj≡∂uj/∂t is an array of individual block velocities (j=1, … N). The system of equations of motion takes the form: ( ) ( ) 2 , , 2 1, 1, , 1 , 1 , 1 , ,2 4 ( ); j n j n j n j n j n j n j n j n j n u u m k u u u u u k vt u F v t t + − + −   = + + + − − + − +    (4) ( ), , 1 0 , 2 , , , , ( ( )) , 0, 0 ( ) 0 j n j n j n j n j n j n j n F v t F F v v t F v v     = − +    = −  .	cache/fumecheng-10626.pdf	txt/fumecheng-10626.txt