This paper deduces a new model aimed at simulating injection molding proces
ses under isothermal conditions. These processes can be generally stated as
infiltration problems in initially dry porous materials. The spatial domai
n is then divided by the infiltration front into two time-dependent subdoma
ins, the dry and the wet porous preforms, both being allowed to deform unde
r the action of the liquid pressure. It is shown that the model calls for t
he definition of the stress-deformation relationship of both the dry and th
e wet preforms, which are assumed to behave elastically and inelastically,
respectively. The coupled flow/deformation problem in the two regions (sepa
rated by an interface) is formulated with the corresponding boundary condit
ions and with the proper evolution equations determining the motion of the
boundaries.
The mathematical problem is solved numerically, highlighting the importance
of inertial terms in the early stage of the infiltration and focusing on t
he influence of the mechanical properties of the material and on the deform
ation of the preform during the infiltration process.