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Abstract
<p>The purpose of this study is to accurately simulate the rheological behaviors of food objects undergoing a loading-unloading operation using finite element (FE) model. Due to the presence of residual deformation, it is difficult to model rheological behaviors. Especially, it is hard to accurately reproduce both rheological force and residual deformation simultaneously. In this study, objects made of food materials were tested. Force and deformation measurements were recorded for parameter estimation. Constitutive models were investigated for describing rheological behaviors. A parallel five-element model including two dual-moduli viscous elements was proposed to accurately predict both rheological force and residual deformation simultaneously. 2D/3D FE model was formulated for simulating rheological behaviors. To estimate the parameters, an effective four-step method was established based on nonlinear optimization which aimed at minimizing the differences of forces and deformation between simulation and experiments. The proposed FE model and parameter estimation method were validated in both 2D and 3D cases and good agreements were achieved in both rheological forces and deformation between numerically simulated and experimentally measured data.</p>
Highlights
The modeling and simulation of deformable objects, such as biological organs and tissues, cloth, clay, and various kinds of food products, has been studied more than twenty years
Three important issues should be considered during the modeling and simulation of deformable objects: 1) the constitutive model, which normally is used to govern the physical behaviors of the material, 2) the modeling method, which is used to construct the geometry of the object and formulate the dynamic equations, and 3) parameter estimation, which is dedicated to find appropriate physical parameters involving in the model
We presented 2D/3D finite element (FE) dynamic model and a parameter estimation method for accurately simulating the behaviors of rheological objects
Summary
The modeling and simulation of deformable objects, such as biological organs and tissues, cloth, clay, and various kinds of food products, has been studied more than twenty years. Three important issues should be considered during the modeling and simulation of deformable objects: 1) the constitutive model, which normally is used to govern the physical behaviors of the material, 2) the modeling method, which is used to construct the geometry of the object and formulate the dynamic equations, and 3) parameter estimation, which is dedicated to find appropriate physical parameters involving in the model. The ones consisting of a number of elastic and viscous elements connected in a certain configuration were widely used in literatures. Such models have explicit physical meaning, simple formulation, and are easy to be constructed, but they are linear models. The optimization-based methods have been the most popular ones for the purpose of parameter estimation
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