With the ongoing development and utilization of nuclear energy, uranium pollution has become an increasingly serious issue. Although many adsorbents are able to remove hexavalent uranium (U(VI)) from aqueous solution,...
It is of great significance to have research on the deformation characteristics and stress distribution of aortic wall. Reliable prediction of constitutive parameters requires an inverse process, which possesses challenges. This work proposes an inverse procedure to identify the constitutive parameters of aortic walls, which integrates nonlinear finite element method (FEM), random forest (RF) model and hybrid Random Search (RS) and Grid Search (GS) algorithm. FEM models are first established to simulate nonlinear deformation of aortic walls subjected to uniaxial tension tests. A dataset of nonlinear relationship between the engineering stress and main stretch of aortic walls is created using FEM models and the nonlinear relationship is learned through RF model. The hybrid RS&GS algorithms are used to adjust the major hyperparameters in RF. Then the optimized RF is utilized to predict constitutive parameters of aortic walls with the help of uniaxial tension tests. The prediction results show that the RF optimized by hybrid RS&GS (RF-RS&GS) approach is an effective and accurate approach to identify the constitutive parameters of aortic walls. The present RF-RS&GS model can be further extended for the predictions of constitutive parameters of other types of nonlinear soft materials. Additionally, the relative importance of constitutive parameters of aortic walls in Gasser–Ogden–Holzapfel (GOH) strain energy function is investigated. It is found that the parameters [Formula: see text] and [Formula: see text]in GOH are most intensive to the engineering stress of aortic walls.
Cartilage damage and degeneration may lead to osteoarthritis for both animals and humans. Quantitative studies on the nonlinear hyper-elastic behavior of cartilages are essential to evaluate cartilage tissue deterioration. However, direct identification of the material behavior is not feasible. This paper presents a procedure to characterize the nonlinear mechanical behavior of the cartilage tissue by an inverse method using measurable structural quantities. First, a two-way neural network (NN) is established, which uses the fully trained forward problem neural network instead of the forward problem solver to generate training samples for inverse problem neural network. Moreover, based on the experimental data of the kangaroo shoulder joint, a nonlinear finite element (FE) model is then created to produce a dataset for training the forward network. Furthermore, intensive studies are conducted to examine the performance of our two-way NN method for the prediction of cartilage hyper-elastic material parameters by comparison with the direct inverse NN method. When only the direct inverse problem neural network is used for training, all samples are from FE simulations and the simulation time is 50.7[Formula: see text]h, and the prediction time is tens of seconds. Besides, our two-way neural network calls the trained forward NN to collect training samples, and all the samples can be obtained in seconds, with which the simulation time is only 78[Formula: see text]s. The predicted results are in good agreement with the experimental data, and the comparison shows that our two-way NN is an efficient and proficient method to predict the parameters for other biological soft tissues.
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