Simulation of Stress Distribution near Weld Line in the Viscoelastic Melt Mold Filling Process

Table 1

Definition of the constants and functions in the constitutive equation [24, 25].

Equation	𝜛	𝜓	Λ	𝑆𝜓
𝜏𝑥𝑥 normal stress	We	𝜏𝑥𝑥	0	21−𝛽𝜕𝑢𝜕𝑥+2We𝜏𝑥𝑥𝜕𝑢𝜕𝑥+2We𝜏𝑥𝑦𝜕𝑢()𝜏𝜕𝑦−𝑓𝜆,𝝉𝑥𝑥−𝑓(𝜆,𝝉)−11−𝛽We−𝛼We𝜏1−𝛽^2𝑥𝑥+𝜏^2𝑥𝑦
𝜏𝑥𝑦 shear stress	We	𝜏𝑥𝑦	0	1−𝛽𝜕𝑣+𝜕𝑥𝜕𝑢𝜕𝑦+We𝜏𝑥𝑥𝜕𝑣𝜕𝑥+We𝜏𝑦𝑦𝜕𝑢()𝜏𝜕𝑦−𝑓𝜆,𝝉𝑥𝑦−𝛼We𝜏1−𝛽^𝑥𝑦𝜏𝑥𝑥+𝜏𝑦𝑦
𝜏𝑦𝑦 normal stress	We	𝜏𝑦𝑦	0	21−𝛽𝜕𝑣𝜕𝑦+2We𝜏𝑦𝑦𝜕𝑣𝜕𝑦+2We𝜏𝑥𝑦𝜕𝑣()𝜏𝜕𝑥−𝑓𝜆,𝝉𝑦𝑦−𝑓(𝜆,𝝉)−11−𝛽We−𝛼We𝜏1−𝛽^2𝑦𝑦+𝜏^2𝑥𝑦
𝜏𝑧𝑧 stress	We	𝜏𝑧𝑧	0	−𝑓(𝜆,𝝉)𝜏𝑧𝑧−𝑓(𝜆,𝝉)−11−𝛽We−𝛼We𝜏1−𝛽^2𝑧𝑧