TY - JOUR
T1 - Modeling the deformation of fresh porcine bellies
T2 - A quantitative comparison of different constitutive formulations
AU - Rahmani, S.
AU - Andriollo, T.
AU - Sonne, M. R.
AU - Hattel, J. H.
PY - 2020
Y1 - 2020
N2 - The present work focuses on comparing the ability of different constitutive formulations to model the deformation of fresh pork bellies during handling operations. A computed tomography (CT) scan is initially performed when the belly is lying on a curved substrate, in order to obtain its 3D geometry. Then, based on the assumption of homogenous material behavior, a finite element model is developed and used to simulate the deformation to a flat configuration at which the belly should be trimmed. The simulations are run considering three different constitutive formulations: (i) pure linear elastic, (ii) Ogden hyper-elastic and (iii) hyper-visco-elastic, whose parameters are calibrated by means of uniaxial compression and viscosity tests. The accuracy of each formulation is evaluated by comparing the deformed shape of the belly as predicted by the model to that reconstructed from a CT scan taken with the belly in the flat configuration. Furthermore, the strains inside the belly are estimated with digital volume correlation and compared to the numerical counterpart. It is found that a significant increase in accuracy is achieved by replacing the simple linear elastic formulation with the hyper-elastic one. Conversely, the gain associated with the further transition to a hyper-visco-elastic formulation is less pronounced and might not justify the corresponding increase in computational complexity.
AB - The present work focuses on comparing the ability of different constitutive formulations to model the deformation of fresh pork bellies during handling operations. A computed tomography (CT) scan is initially performed when the belly is lying on a curved substrate, in order to obtain its 3D geometry. Then, based on the assumption of homogenous material behavior, a finite element model is developed and used to simulate the deformation to a flat configuration at which the belly should be trimmed. The simulations are run considering three different constitutive formulations: (i) pure linear elastic, (ii) Ogden hyper-elastic and (iii) hyper-visco-elastic, whose parameters are calibrated by means of uniaxial compression and viscosity tests. The accuracy of each formulation is evaluated by comparing the deformed shape of the belly as predicted by the model to that reconstructed from a CT scan taken with the belly in the flat configuration. Furthermore, the strains inside the belly are estimated with digital volume correlation and compared to the numerical counterpart. It is found that a significant increase in accuracy is achieved by replacing the simple linear elastic formulation with the hyper-elastic one. Conversely, the gain associated with the further transition to a hyper-visco-elastic formulation is less pronounced and might not justify the corresponding increase in computational complexity.
KW - Finite element analysis
KW - Ogden model
KW - Porcine belly
KW - Prony series
U2 - 10.1016/j.mechmat.2020.103597
DO - 10.1016/j.mechmat.2020.103597
M3 - Journal article
AN - SCOPUS:85091229492
SN - 0167-6636
VL - 150
SP - 12
JO - Mechanics of Materials
JF - Mechanics of Materials
M1 - 103597
ER -