Can hyperelastic material parameters be uniquely determined from indentation experiments?

RSC Advances ◽  
2016 ◽  
Vol 6 (85) ◽  
pp. 81958-81964 ◽  
Author(s):  
Yihui Pan ◽  
Yuexing Zhan ◽  
Huanyun Ji ◽  
Xinrui Niu ◽  
Zheng Zhong

Uniqueness of hyperelastic parameters depends on a simple criterion: whether dimensionless material parameters are coupled with indentation displacement.

Author(s):  
Yang Li ◽  
Jianbing Sang ◽  
Xinyu Wei ◽  
Zijian Wan ◽  
G. R. Liu

Muscle soreness can occur after working beyond the habitual load, especially for people engaged in high-intensity work load. Prediction of hyperelastic material parameters is essentially an inverse process, which possesses challenges. This work presents a novel procedure that combines nonlinear finite element method (FEM), two-way neural networks (NNs) together with experiments, to predict the hyperelastic material parameters of skeletal muscles. FEM models are first established to simulate nonlinear deformation of skeletal muscles subject to compressions. A dataset of nonlinear relationship between nominal stress and principal stretch of skeletal muscles is created using our FEM models. The dataset is then used to establish two-way NNs, in which a forward NN is trained and it is in turn used to train the inverse NN. The inverse NN is used to predict the hyperelastic material parameters of skeletal muscles. Finally, experiments are carried out using fresh skeletal muscles to validate the predictions in great detail. In order to examine the accuracy of the two-way NNs predicted values against the experimental ones, a decision coefficient [Formula: see text] with penalty factor is introduced to evaluate the performance. Studies have also been conducted to compare the present two-way NNs approach with the other existing methods, including the directly (one-way) inverse problem NN, and improved niche genetic algorithm (INGA). The comparison results show that two-way NNs model is an accurate approach to identify the hyperelastic parameters of skeletal muscles. The present two-way NNs method can be further expanded to the predictions of constitutive parameters of other type of nonlinear materials.


2006 ◽  
Vol 129 (3) ◽  
pp. 450-456 ◽  
Author(s):  
Esra Roan ◽  
Kumar Vemaganti

The mechanical response of soft tissue is commonly characterized from unconfined uniaxial compression experiments on cylindrical samples. However, friction between the sample and the compression platens is inevitable and hard to quantify. One alternative is to adhere the sample to the platens, which leads to a known no-slip boundary condition, but the resulting nonuniform state of stress in the sample makes it difficult to determine its material parameters. This paper presents an approach to extract the nonlinear material properties of soft tissue (such as liver) directly from no-slip experiments using a set of computationally determined correction factors. We assume that liver tissue is an isotropic, incompressible hyperelastic material characterized by the exponential form of strain energy function. The proposed approach is applied to data from experiments on bovine liver tissue. Results show that the apparent material properties, i.e., those determined from no-slip experiments ignoring the no-slip conditions, can differ from the true material properties by as much as 50% for the exponential material model. The proposed correction approach allows one to determine the true material parameters directly from no-slip experiments and can be easily extended to other forms of hyperelastic material models.


2014 ◽  
Vol 941-944 ◽  
pp. 1566-1569
Author(s):  
Hong Wang ◽  
Gen Yan Wang

Synthetic rubber serving as the surface material of the ping-pong racket has good elasticity and anti-friction. Material parameters such as the hyperelastic constitutive model of the synthetic rubber are some of the critical parameters related to the competition achievement of Ping-Pong. Especially, the certain surface material of the ping-pong racket may be beneficial to the certain way of the racketting technique. The material parameters’ change may change the elasticity, plasticity, and anti-friction of the surface which would affect the playing level of the athletes. In order to access the relation between the hyperelastic ability and the racketting strength, it is necessary to predict the mechanical response of the ping-pong racket to the different hyperelastic surface materials. A two-dimensional finite element model is developed to predict the mechanical response between the hyperelastic ability and the racketting strength due to the material parameters’ change of the synthetic rubber. The Mooney-Rivlin model is considered as the hyperelastic material model using ANSYS soft in order to simulate the ping-pong racket’s surface material precisely. The different surface material parameters must affect the surface stress or strain of the racket which may change the athletes’ achievement. The special batting technique may acquire the special hyperelastic materials parameters. The rule will be obtained between the hyperelastic material parameters and the stress distribution of the racket surface materials. The ability accurately predicting the mechanical response of the ping-pong racket surface will greatly help the ping-pong racket designers in determining the suitable racket to the particular technology’s athletes.


2016 ◽  
Vol 15 (6) ◽  
pp. 1509-1521 ◽  
Author(s):  
Gabriel Balaban ◽  
Martin S. Alnæs ◽  
Joakim Sundnes ◽  
Marie E. Rognes

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