id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
fis-5693	Vshivkova, Anastasiya; Shveykin, Alexey; Romanov, Kirill	Modified multi-scale constitutive model of Aluminum: complex loading with variable thermal conditions	2025	11	.pdf	application/pdf	6114	350	51	2 ( ) ( ) 0 0 int1 lnk k lattice pA T d     (3) where 0 is lattice resistance at 0 К, while 0p , ( )kA are model parameters.      (5) In (5), in addition to previously introduced symbols: ( )k hard and ( )k recovery are components of strengthening due to dislocation interactions and softening due to diffusion processes; ( )k reversal considers effects related to dislocation annihilation under reverse loading; ( ) threshold k dis is the threshold value of the dislocation component of critical stresses (determined by the initial dislocation density), above which softening due to dislocation interactions and diffusion cannot be neglected; ( )klh is matrix characterizing interactions between different slip systems; l atq is latent hardening coefficient (1.4 for non-coplanar, 1 for coplanar slip systems [19]); ( )δ kl Kronecker delta; sat is saturation stress determined during model identification; a, f, f2, fixDh , a1, a2, s are model parameters; parameter 0 characterizes strain rate above which diffusion processes become ineffective and refT characterizes temperature below which diffusion processes is ineffective too.	cache/fis-5693.pdf	txt/fis-5693.txt