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Journal articles on the topic 'Hyperelastic'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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1

Zhu, Hai Qing, and Xie Dong Zhang. "Calculation of Static Stiffness of Hyperelastic Coating." Applied Mechanics and Materials 395-396 (September 2013): 810–13. http://dx.doi.org/10.4028/www.scientific.net/amm.395-396.810.

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The fundamental theory about the constitutive relationship of hyperelastic model has been introduced and the model of super-elastic coating has been simulated in this paper. The static stiffness of different coating thickness has been calculated considering the hyperelasticy and viscoelasticity. Through the studying, because of the increasing of deformation, the compression static stiffness of the hyperelastic coating will be increased; while the tension static stiffness of the hyperelastic coating will be decreased. Moreover, the static stiffness is only related to the relative deformation no

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2

Turhan, Tunahan. "On geometry of Lorentzian immersions with non-null hyperelastic curves." Filomat 38, no. 21 (2024): 7469–78. https://doi.org/10.2298/fil2421469t.

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We characterize Lorentzian submanifolds by using non-null hyperelastic curves along a Lorentzian immersion defined between suitable two Lorentzian manifolds. We introduce a Lorentzian hyperelastic immersion as a map that carries a hyperelastic curve in the submanifold to a hyperelastic curve in the ambient manifold by the isometric immersion theory. Then, we investigate the characteriza-tion of submanifolds by using hyperelastic curves along Lorentzian immersions. Also, we exemplify the findings.

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3

Pàmies, Pep. "Hyperelastic nanowires." Nature Materials 12, no. 10 (2013): 870. http://dx.doi.org/10.1038/nmat3771.

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4

Dastjerdi, Maryam Mehdizadeh, Ali Fallah, and Saeid Rashidi. "Efficient Sensitivity Based Reconstruction Technique to Accomplish Breast Hyperelastic Elastography." BioMed Research International 2018 (November 25, 2018): 1–16. http://dx.doi.org/10.1155/2018/3438470.

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Hyperelastic models have been acknowledged as constitutive equations which reliably model the nonlinear behaviors observed from soft tissues under various loading conditions. Among them, the Mooney-Rivlin, Yeoh, and polynomial models have been proved capable of accurately modeling responses of breast tissues to applied compressions. Hyperelastic elastography technique takes advantage of the disparities between hyperelastic parameters of varied tissues and the change in hyperelastic parameters in pathological processes. The precise reconstruction of hyperelastic parameters of a completely unkno

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Chen, Wei, Lin Wang, and Huliang Dai. "Nonlinear Free Vibration of Hyperelastic Beams Based on Neo-Hookean Model." International Journal of Structural Stability and Dynamics 20, no. 01 (2019): 2050015. http://dx.doi.org/10.1142/s0219455420500157.

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The investigation of hyperelastic responses of soft materials and structures is essential for understanding of the mechanical behaviors and for the design of soft systems. In this paper, by considering both the material and geometrical nonlinearities, a new neo-Hookean model for the hyperelastic beam is developed with focus on its nonlinear free vibration with large strain deformations. The neo-Hookean model is employed to capture the large strain deformation of the hyperelastic beam. The governing equations of the hyperelastic beam are derived by using Hamilton’s principle. To avoid expensive

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6

Yenigun, Burak, Elli Gkouti, Gabriele Barbaraci, and Aleksander Czekanski. "Identification of Hyperelastic Material Parameters of Elastomers by Reverse Engineering Approach." Materials 15, no. 24 (2022): 8810. http://dx.doi.org/10.3390/ma15248810.

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Simulating the mechanical behavior of rubbers is widely performed with hyperelastic material models by determining their parameters. Traditionally, several loading modes, namely uniaxial tensile, planar equibiaxial, and volumetric, are considered to identify hyperelastic material models. This procedure is mainly used to determine hyperelastic material parameters accurately. On the contrary, using reverse engineering approaches, iterative finite element analyses, artificial neural networks, and virtual field methods to identify hyperelastic material parameters can provide accurate results that

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7

Yang, Qing Sheng, and Fang Xu. "Effective Hyperelastic Behaviour of Fiber Reinforced Polymer Composite Materials." Key Engineering Materials 334-335 (March 2007): 473–76. http://dx.doi.org/10.4028/www.scientific.net/kem.334-335.473.

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The macroscopic hyperelastic behavior of fiber reinforced polymer composites is studied using the micromechanical model and finite deformation theory. It is assumed that the fiber and matrix are hyperelastic media and undergoing finite deformation. The local fields of a representative volume element are calculated by the hyperelastic finite element method. Then an averaging procedure is used to find the homogenized stress and strain and the macroscopic curves of stress-strain are obtained. The several microstructural parametric effects on the macroscopic hyperelastic behavior are considered. T

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Narendra Gokhale, Maitreya. "Hyperelastic Material Modelling of Silicone Rubber." International Journal of Science and Research (IJSR) 12, no. 7 (2023): 2069–73. http://dx.doi.org/10.21275/sr23726173228.

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9

He, Wangyang, and Zhennan Zhang. "Modeling Creep Fracture in Rock by Using Kelvin Discretized Virtual Internal Bond." Advances in Civil Engineering 2018 (2018): 1–8. http://dx.doi.org/10.1155/2018/8042965.

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Discretized virtual internal bond (DVIB) is a lattice model, which is composed of bond cells. Each bond cell has a finite number of bonds. The DVIB is used to model the creep fracture. It is done by introducing a viscous bond to the original hyperelastic DVIB. The hyperelastic bond is parallel coupled with a viscous bond together, forming a hybrid hyperelastic-Kelvin bond. The hyperelastic bond reflects the microfracture mechanism, whereas the viscous bond reflects the creep mechanism. Based on this hyperelastic-Kelvin bond, the constitutive relation of a cell is derived. The microbond paramet

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10

Karimi Mahabadi, Rayehe, Taha Goudarzi, Romain Fleury, and Reza Naghdabadi. "Multifunctional Hyperelastic Structured Surface for Tunable and Switchable Transparency." Applied Sciences 11, no. 5 (2021): 2255. http://dx.doi.org/10.3390/app11052255.

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We leverage the crucial hyperelastic properties of a multifunctional structured surface to optimize the reconfigurability of the electromagnetic transmission under large nonlinear mechanical deformations. This multiphysics, multifunctional, hyperelastic structured surface (HSS) offers two simultaneous intriguing functionalities; tunability and switchability. It is made of copper resonators and a Polydimethylsiloxane (PDMS) substrate, which is one of the most favorable deformable substrates due to its hyperelastic behavior. The proposed HSS is fabricated via an original cost-effective technique

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11

Yücesan, Ahmet, Gözde Özkan, and Yasemín Yay. "Relaxed hyperelastic curves." Annales Polonici Mathematici 102, no. 3 (2011): 223–30. http://dx.doi.org/10.4064/ap102-3-3.

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12

Ansari, Mohd Zahid, Sang Kyo Lee, and Chong Du Cho. "Hyperelastic Muscle Simulation." Key Engineering Materials 345-346 (August 2007): 1241–44. http://dx.doi.org/10.4028/www.scientific.net/kem.345-346.1241.

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Biological soft tissues like muscles and cartilages are anisotropic, inhomogeneous, and nearly incompressible. The incompressible material behavior may lead to some difficulties in numerical simulation, such as volumetric locking and solution divergence. Mixed u-P formulations can be used to overcome incompressible material problems. The hyperelastic materials can be used to describe the biological skeletal muscle behavior. In this study, experiments are conducted to obtain the stress-strain behavior of a solid silicone rubber tube. It is used to emulate the skeletal muscle tensile behavior. T

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Lanzoni, Luca, and Angelo Marcello Tarantino. "Damaged hyperelastic membranes." International Journal of Non-Linear Mechanics 60 (April 2014): 9–22. http://dx.doi.org/10.1016/j.ijnonlinmec.2013.12.001.

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14

Tükel, Gözde Özkan, and Tunahan Turhan. "Timelike hyperelastic strips." AIMS Mathematics 10, no. 5 (2025): 12299–311. https://doi.org/10.3934/math.2025557.

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15

Golbad, Sara, and Mohammad Haghpanahi. "Hyperelastic Model Selection of Tissue Mimicking Phantom Undergoing Large Deformation and Finite Element Modeling for Elastic and Hyperelastic Material Properties." Advanced Materials Research 415-417 (December 2011): 2116–20. http://dx.doi.org/10.4028/www.scientific.net/amr.415-417.2116.

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Pathologies in soft tissues are associated with changes in their elastic properties. Tumor tissues are usually stiffer than the fat tissues and other normal tissues and show the nonlinear behavior in large deformations. There have been a lot of researches about elastography (linear and nonlinear) as a new detecting technique based on mechanical behavior of tissue. In order to formulate the tissue’s nonlinear behavior, a strain energy function is required. For better estimation of nonlinear tissue parameters in elasticity imaging, non linear stress-strain curve of phantom is used. This work pre

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16

Selvadurai, A. P. S., and A. P. Suvorov. "On the development of instabilities in an annulus and a shell composed of a poro-hyperelastic material." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2218 (2018): 20180239. http://dx.doi.org/10.1098/rspa.2018.0239.

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The paper investigates the development of instability in an internally pressurized annulus of a poro-hyperelastic material. The theory of poro-hyperelasticity is proposed as an approach for modelling the mechanical behaviour of highly deformable elastic materials, the pore space of which is saturated with a fluid. The consideration of coupling between the mechanical response of the hyperelastic porous skeleton and the pore fluid is important when applying the developments to soft tissues encountered in biomechanical applications. The paper examines the development of an instability in a poro-h

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17

Xu, Bing, Qin Shu He, and Shao Rong Yu. "Finite Element Analysis on the Large Deformations of Rubber Structure." Applied Mechanics and Materials 44-47 (December 2010): 1487–91. http://dx.doi.org/10.4028/www.scientific.net/amm.44-47.1487.

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In this paper, the hyperelastic constitutive theory, the well-know hyperelastic models and the range of uses are introduced. Finite element simulations of the compression tests have been performed with the incompressible Mooney-Rivlin constitutive theory. The choices of parameters in the hyperelastic modeling, the element type, mesh technique and the contact stiffness in the simulation are discussed. The predicted simulation results agree well the experimental data.

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18

Karimzadeh, Atefeh, Majid Reza Ayatollahi, Seyed Saeid Rahimian Koloor, Abd Razak Bushroa, Mohd Yazid Yahya, and Mohd Nasir Tamin. "Assessment of Compressive Mechanical Behavior of Bis-GMA Polymer Using Hyperelastic Models." Polymers 11, no. 10 (2019): 1571. http://dx.doi.org/10.3390/polym11101571.

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Despite wide industrial applications of Bis-GMA polymer, very few studies are available about the material classification, mechanical properties, and behavior of this material. In this study, the compressive behavior of Bis-GMA polymer was studied using different hyperelastic constitutive models through a hybrid experimental-computational process. Standard uniaxial compression tests were conducted to extract the mechanical behavior and structural response of the Bis-GMA polymer. A nano-indentation experiment was used to verify the compressive behavior of Bis-GMA polymer in the form of hyperela

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19

Sanborn, Brett, Bo Song, and Wei-Yang Lu. "Poisson‘s Ratio Induced Radial Inertia Confinement During Dynamic Compression of Hyperelastic Foams." EPJ Web of Conferences 183 (2018): 02007. http://dx.doi.org/10.1051/epjconf/201818302007.

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Hyperelastic foams have excellent impact energy absorption capability and can experience full recovery following impact loading. Consequently, hyperelastic foams are selected for different applications as shock isolators. Obtaining accurate intrinsic dynamic compressive properties of the hyperelastic foams has become a crucial step in shock isolation design and evaluation. Radial inertia is a key issue in dynamic characterization of soft materials. Radial inertia induced stress in the sample is generally caused by axial acceleration and large deformation applied to a soft specimen. In this stu

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20

Wu, Bin, Chenfeng Huang, Na Li, et al. "Formulation of Hyperelastic Constitutive Model for Human Periodontal Ligament Based on Fiber Volume Fraction." Materials 18, no. 3 (2025): 705. https://doi.org/10.3390/ma18030705.

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Collagen fibers of the Periodontal ligament (PDL) play a crucial role in determining its mechanical properties. Based on this premise, we investigated the effect of the volume fraction of human PDL collagen fibers on the hyperelastic mechanical behavior under transient loading. Samples were obtained from different root regions (neck, middle, and apex) of the PDL, prepared from fresh human anterior teeth. The collagen fibers volume fraction in various regions of the PDL was quantified by staining techniques combined with image processing software. The collagen fiber volume fractions were found

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21

Wang, Hong, and Gen Yan Wang. "Mechanical Response of Ping-Pong Racket to Different Hyperelastic Surface Materials." Advanced Materials Research 941-944 (June 2014): 1566–69. http://dx.doi.org/10.4028/www.scientific.net/amr.941-944.1566.

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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

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22

Tükel, Gözde Özkan. "Integrable dynamics and geometric conservation laws of hyperelastic strips." AIMS Mathematics 9, no. 9 (2024): 24372–84. http://dx.doi.org/10.3934/math.20241186.

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<p>We consider the energy-minimizing configuration of the Sadowsky-type functional for narrow rectifying strips. We show that the functional is proportional to the $ p $-Willmore functional using classical analysis techniques and the geometry of developable surfaces. We introduce hyperelastic strips (or p-elastic strips) as rectifying strips whose base curves are the critical points of the Sadowsky-type functional and find the Euler-Lagrange equations for hyperelastic strips using a variational approach. We show a naturally expected relationship between the planar stationary points of th

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23

Wang, Jiong, Qiongyu Wang, Hui-Hui Dai, Ping Du, and Danxian Chen. "Shape-programming of hyperelastic plates through differential growth: an analytical approach." Soft Matter 15, no. 11 (2019): 2391–99. http://dx.doi.org/10.1039/c9sm00160c.

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24

Ozelo, R. R. M., P. Sollero, and A. L. A. Costa. "An Alternative Technique to Evaluate Crack Propagation Path in Hyperelastic Materials." Tire Science and Technology 40, no. 1 (2012): 42–58. http://dx.doi.org/10.2346/1.3684484.

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Abstract REFERENCE: R. R. M. Ozelo, P. Sollero, and A. L. A. Costa, “An Alternative Technique to Evaluate Crack Propagation Path in Hyperelastic Materials,” Tire Science and Technology, TSTCA, Vol. 40, No. 1, January–March 2012, pp. 42–58. ABSTRACT: The analysis of crack propagation in tires aims to provide safety and reliable life prediction. Tire materials are usually nonlinear and present a hyperelastic behavior. Therefore, the use of nonlinear fracture mechanics theory and a hyperelastic material constitutive model are necessary. The material constitutive model used in this work is the Moo

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25

Wrubleski, Eduardo Guilherme Mötke, and Rogério Marczak. "A new pseudo-energy function to simulate the Mullins effect." Journal of Elastomers & Plastics 50, no. 6 (2017): 554–75. http://dx.doi.org/10.1177/0095244317741760.

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Several authors have proposed different parameters to include the softening effect in hyperelastic models; however, for a number of materials, softening parameters could be further improved. This article proposes a new softening parameter to include Mullins effect in hyperelastic material models. The methodology employed can be also used in cases with hysteresis or damage in a hyperelastic material, however this methodology modifies the behavior of the material differently from damage theories. Common hyperelastic constitutive models do not include dissipation effects and so the present work i

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Thiagarajan, Ganesh, Yonggang Y. Huang, and K. Jimmy Hsia. "Fracture Simulation Using an Elasto-Viscoplastic Virtual Internal Bond Model With Finite Elements." Journal of Applied Mechanics 71, no. 6 (2004): 796–804. http://dx.doi.org/10.1115/1.1796451.

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A virtual internal bond (VIB) model for isotropic materials has been recently proposed by Gao (Gao, H., 1997, “Elastic Waves in a Hyperelastic Solid Near its Plane Strain Equibiaxial Cohesive Limit,” Philos. Mag. Lett. 76, pp. 307–314) and Gao and Klein (Gao, H., and Klein, P., 1998, “Numerical Simulation of Crack Growth in an Isotropic Solid With Randomized Internal Cohesive Bonds,” J. Mech. Phys. Solids 46(2), pp. 187–218), in order to describe material deformation and fracture under both static and dynamic loading situations. This is made possible by incorporating a cohesive type law of int

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Dai, Ming, Peter Schiavone, and Cun-Fa Gao. "Neutral nano-inhomogeneities in hyperelastic materials with a hyperelastic interface model." International Journal of Non-Linear Mechanics 87 (December 2016): 38–42. http://dx.doi.org/10.1016/j.ijnonlinmec.2016.09.010.

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28

Toobunterng, Thaman, Chakrit Suvanjumrat, and Jaroonrut Prinyakupt. "Finite Element Analysis on Comparative Hyperelastic Material for CTSIB Foam." Materials Science Forum 1108 (December 12, 2023): 31–36. http://dx.doi.org/10.4028/p-vqv9gi.

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The objective of this research is to investigate the properties of standardized foam materials in clinical balance testing, assuming that the behavior of the foam material is hyperelastic. To simulate the deformation behavior, the finite element method was used in conjunction with the behavior of hyperelastic materials. We perform a value of the properties of materials without the use of destructive compression testing samples. Compression tests were performed on real materials according to standardized test methods that did not cause the destruction of the actual material. The collected data

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29

Çalışkan, Kemal, Erhan Ilhan Konukseven (1), and Y. Samim Ünlüsoy. "Product Based Material Testing for Hyperelastic Suspension Jounce Bumper Design with FEA." Key Engineering Materials 450 (November 2010): 119–23. http://dx.doi.org/10.4028/www.scientific.net/kem.450.119.

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The basic problem in the finite element analysis of parts made of hyperelastic materials is the identification of mathematical material model coefficients. Furthermore, selection of a suitable mathematical hyperelastic material model may not be straightforward. In this study, a systematic design methodology is presented for hyperelastic suspension jounce bumpers. The presented methodology involves a critical examination of material testing procedures, material model selection, and coefficient identification. The identified material model coefficients are verified through comparison of the fini

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Fu, Xin Tao, Ze Peng Wang, and Lian Xiang Ma. "Numerical Mechanical Analysis of Filled Rubber under Different Deformation States Based on a New Hyperelastic Constitutive Model." Materials Science Forum 1032 (May 2021): 15–22. http://dx.doi.org/10.4028/www.scientific.net/msf.1032.15.

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The accuracy of the rubber constitutive model characterizing experiment data has a crucial influence on the mechanical analysis of rubber structures. In this paper, a new improved hyperelastic constitutive model is proposed, and the model is derived into the stress-strain forms of uniaxial tension, equibiaxial tension and pure shear. Based on the experimental data of filled rubber, the material parameters of each deformation state are obtained by using the newly proposed rubber hyperelastic constitutive model, and the uniaxial tensile (UT), Equibiaxial tension (ET) and Pure shear (PS) specimen

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Nam, Tran Huu. "Using FEM for large deformation analysis of inflated air-spring cylindrical shell made of rubber-textile cord composite." Vietnam Journal of Mechanics 28, no. 1 (2006): 10–20. http://dx.doi.org/10.15625/0866-7136/28/1/5474.

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An orthotropic hyperelastic constitutive model is presented for large deformation analysis of the nonlinear anisotropic hyperelastic material of the cylindrical air-spring shell used in vibroisolation of driver's seat. Nonlinear hyperelastic constitutive equations of orthotropic composite material are incorporated into the finite strain analysis by finite element method (FEM). The results of deformation analysis of the inflated air-spring shell made of composite with rubber matrix reinforced by textile cords are given. Obtained numerical results of deformation corresponding to the experimental

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32

Zouari, R., S. Ben Amar, and A. Dogui. "Experimental Analysis and Orthotropic Hyperelastic Modelling of Textile Woven Fabric." Journal of Engineered Fibers and Fabrics 9, no. 3 (2014): 155892501400900. http://dx.doi.org/10.1177/155892501400900310.

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This paper presents an experimental study and hyperelastic modelling of orthotropic mechanical behavior of woven textile fabric. The strain energy function of the hyperelastic model is a combination of the warp extension, weft extension, and shear angle between warp and weft directions. The experimental and fitting analysis of the anisotropy is realized using off-axis tensile tests for five textile woven fabrics. Orthotropic hyperelastic modelling highlights the anisotropy tensile property of textile woven fabric compared to orthotropic linear elastic modelling. Particular attention is given t

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Suchocki, Cyprian. "A Finite Element Implementation of Knowles Stored-Energy Function: Theory, Coding and Applications." Archive of Mechanical Engineering 58, no. 3 (2011): 319–46. http://dx.doi.org/10.2478/v10180-011-0021-7.

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A Finite Element Implementation of Knowles Stored-Energy Function: Theory, Coding and Applications This paper contains the full way of implementing a user-defined hyperelastic constitutive model into the finite element method (FEM) through defining an appropriate elasticity tensor. The Knowles stored-energy potential has been chosen to illustrate the implementation, as this particular potential function proved to be very effective in modeling nonlinear elasticity within moderate deformations. Thus, the Knowles stored-energy potential allows for appropriate modeling of thermoplastics, resins, p

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Le Nguyen, Hoai Linh, Vay Siu Lo, Thien Tich Truong, and Nha Thanh Nguyen. "Nonlinear analysis of three-dimensional hyperelastic problems using radial point interpolation method." Vietnam Journal of Science and Technology 62, no. 5 (2024): 1031–43. http://dx.doi.org/10.15625/2525-2518/19248.

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Hyperelastic materials are primarily common in real life as well as in industry applications, and studying this kind of material is still an active research area. Naturally, the characteristic of hyperelastic material will be expressed when it undergoes large deformation, so the geometrical nonlinear effect should be considered. To analyze the behavior of hyperelastic material, the Neo-Hookean model is imposed in this study because of its simplicity. The model shows the nonlinear behavior when the deformation becomes large due to the nonlinear displacement-strain relation. This constitutive re

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Adam Mohd Adnan, Zurri, Mohd Azman Yahaya, Mohd Nor Fazli Adull Manan, and Jamaluddin Mahmud. "Quantifying and Comparing the Hyperelastic Properties of Skin, Leather and Silicone." International Journal of Engineering & Technology 7, no. 4.26 (2018): 45–49. http://dx.doi.org/10.14419/ijet.v7i4.26.22135.

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Skin is the largest and an important organ of an animal or human body. Skin provides multiple important functions and it exhibits complex behaviour. The injuries due to burn, damage and accident have led to research in understanding skin behaviour as this knowledge could lead to producing good quality of synthetic skin. To date, the properties of skin are still not well quantified. Therefore, this study aims to quantify and compare the hyperelastic properties of skin, leather and silicone using three common hyperelastic constitutive models which are Neo-Hookean, Mooney-Rivlin and Ogden model.

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Dastjerdi, Maryam Mehdizadeh, Ali Fallah, and Saeid Rashidi. "An Iterative Method for Estimating Nonlinear Elastic Constants of Tumor in Soft Tissue from Approximate Displacement Measurements." Journal of Healthcare Engineering 2019 (January 6, 2019): 1–12. http://dx.doi.org/10.1155/2019/2374645.

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Objectives. Various elastography techniques have been proffered based on linear or nonlinear constitutive models with the aim of detecting and classifying pathologies in soft tissues accurately and noninvasively. Biological soft tissues demonstrate behaviors which conform to nonlinear constitutive models, in particular the hyperelastic ones. In this paper, we represent the results of our steps towards implementing ultrasound elastography to extract hyperelastic constants of a tumor inside soft tissue. Methods. Hyperelastic parameters of the unknown tissue have been estimated by applying the it

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Rugsaj, Ravivat, and Chakrit Suvanjumrat. "Finite Element Analysis of Hyperelastic Material Model for Non-Pneumatic Tire." Key Engineering Materials 775 (August 2018): 554–59. http://dx.doi.org/10.4028/www.scientific.net/kem.775.554.

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This research aimed to find an appropriated hyperelastic material model for the finite element analysis (FEA) of a non-pneumatic tire (NPT). The innovative method involving water jet cutting technique was performed to prepare the tensile and compressive test specimens from the non-pneumatic tire, TWEEL, which was developed by Michelin. The stress-strain relationship of material testing results was fitted to select the suitable constitutive model. The FEA was performed and compared to the physical experiment to validate the hyperelastic material model. The suitable hyperelastic material model c

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Jiang, Yuheng, Yu Tian, and Yao Qi. "Solitary Wave Solutions of a Hyperelastic Dispersive Equation." Mathematics 12, no. 4 (2024): 564. http://dx.doi.org/10.3390/math12040564.

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This paper explores solitary wave solutions arising in the deformations of a hyperelastic compressible plate. Explicit traveling wave solution expressions with various parameters for the hyperelastic compressible plate are obtained and visualized. To analyze the perturbed equation, we employ geometric singular perturbation theory, Melnikov methods, and invariant manifold theory. The solitary wave solutions of the hyperelastic compressible plate do not persist under small perturbations for wave speed c>−βk2. Further exploration of nonlinear models that accurately depict the persistence of so

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Semenov A. V et al.,, Semenov A. V. et al ,. "Viscous Hyperelastic Materials Modeling." International Journal of Mechanical and Production Engineering Research and Development 10, no. 3 (2020): 14951–68. http://dx.doi.org/10.24247/ijmperdjun20201425.

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Şahin, Bayram, Gözde Özkan Tükel, and Tunahan Turhan. "Hyperelastic curves along immersions." Miskolc Mathematical Notes 22, no. 2 (2021): 915. http://dx.doi.org/10.18514/mmn.2021.3501.

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Saavedra Flores, E. I., R. M. Ajaj, S. Adhikari, I. Dayyani, M. I. Friswell, and Rafael Castro-Triguero. "Hyperelastic tension of graphene." Applied Physics Letters 106, no. 6 (2015): 061901. http://dx.doi.org/10.1063/1.4908119.

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Zhang, Pu, and William J. Parnell. "Hyperelastic antiplane ground cloaking." Journal of the Acoustical Society of America 143, no. 5 (2018): 2878–85. http://dx.doi.org/10.1121/1.5036629.

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Suvorov, A. P., and A. P. S. Selvadurai. "On poro-hyperelastic shear." Journal of the Mechanics and Physics of Solids 96 (November 2016): 445–59. http://dx.doi.org/10.1016/j.jmps.2016.08.006.

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Selvadurai, APS, and Alexander P. Suvorov. "On Poro-hyperelastic Torsion." International Journal of Engineering Science 194 (January 2024): 103940. http://dx.doi.org/10.1016/j.ijengsci.2023.103940.

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Cai, Renye, Frédéric Holweck, Zhi-Qiang Feng, and François Peyraut. "A new hyperelastic model for anisotropic hyperelastic materials with one fiber family." International Journal of Solids and Structures 84 (May 2016): 1–16. http://dx.doi.org/10.1016/j.ijsolstr.2015.11.008.

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Bartolomé, L., A. Aginagalde, A. B. Martínez, M. A. Urchegui, and W. Tato. "EXPERIMENTAL CHARACTERIZATION AND MODELLING OF LARGE-STRAIN VISCOELASTIC BEHAVIOR OF A THERMOPLASTIC POLYURETHANE ELASTOMER." Rubber Chemistry and Technology 86, no. 1 (2013): 146–64. http://dx.doi.org/10.5254/rct.13.87998.

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ABSTRACT Thermoplastic polyurethane elastomers (TPUs) are a kind of elastomer that can be processed as thermoplastics. These elastomers exhibit a highly nonlinear behavior characterized by hyper-elastic deformability. Furthermore, the mechanical behavior of these elastomers is time-dependent, that is, they exhibit a viscoelastic behavior. We describe the material response of a TPU under moderate strains (ɛ &lt; 1) by using an overlay visco-hyperelastic model assuming separation of time dependence from nonlinear stress–strain behavior. To achieve this goal, cyclic loading–unloading experime

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Kamarul Bahrain, Siti Humairah, and Jamaluddin Mahmud. "Parametric Investigation of Mooney-Rivlin Material Constants on Silicone Biocomposite." Materials Science Forum 882 (January 2017): 51–55. http://dx.doi.org/10.4028/www.scientific.net/msf.882.51.

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Hyperelastic materials are unique materials that have high tendency to stretch and its highly non-linear behaviour is commonly investigated using hyperelastic constitutive models. The aim of this paper is to investigate the sensitivity of Mooney-Rivlin material constants; C1 and C2 values in order to observe the behavior and pattern of the stress-stretch graph for silicone-kenaf composite. There were no previous studies done in regards to assess the mechanical behaviour of the stress-stretch curve for silicone-kenaf biocomposite by varying the Mooney-Rivlin material constants. The material con

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Śliwa-Wieczorek, Klaudia, Bogusław Zając, and Tomasz Kozik. "Tests on the Mechanical Properties of Polymers in the Aspect of an Attempt to Determine the Parameters of the Mooney-Rivlin Hyperelastic Model." Civil and Environmental Engineering Reports 30, no. 2 (2020): 1–14. http://dx.doi.org/10.2478/ceer-2020-0016.

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AbstractThe article presents testing of the mechanical properties of SIKA® polymer adhesives of the type PBM, PMM, PM, and PSM in the aspect of an attempt to determine the parameters of the Mooney-Rivlin hyperelastic model. The article contains a literature review on developed models for hyperelastic materials as well as a description of the author’s own results obtained in monaxial tensile and monaxial compression tests conducted on oars and cylindrical samples, respectively. Furthermore, the results of modeling of Mooney-Rivlin hyperelastic model parameters are shown in relation to the value

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Cheng, Jie, and Lucy T. Zhang. "A General Approach to Derive Stress and Elasticity Tensors for Hyperelastic Isotropic and Anisotropic Biomaterials." International Journal of Computational Methods 15, no. 04 (2018): 1850028. http://dx.doi.org/10.1142/s0219876218500287.

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Hyperelastic models are of particular interest in modeling biomaterials. In order to implement them, one must derive the stress and elasticity tensors from the given potential energy function explicitly. However, it is often cumbersome to do so because researchers in biomechanics may not be well-exposed to systematic approaches to derive the stress and elasticity tensors as it is vaguely addressed in literature. To resolve this, we present a framework of a general approach to derive the stress and elasticity tensors for hyperelastic models. Throughout the derivation we carefully elaborate the

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Zheng, Yanbin, and Chunyun Jiang. "Experimental Investigation of an Incremental Contact Model for Hyperelastic Solids Using an In Situ Optical Interferometric Technique." Lubricants 12, no. 4 (2024): 109. http://dx.doi.org/10.3390/lubricants12040109.

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The intricacies of rough surface contact are amplified by hyperelastic materials, primarily due to nonlinear enhancement caused by stress concentration. In previous studies, we proposed an incremental contact model for hyperelastic materials based on the tangent modulus and validated it through finite element simulations. This study proceeds with the experimental validation of the model. Initially, four hyperelastic rough surfaces were scanned and stitched together using a white light interferometer to obtain the whole surface topography. Subsequently, in situ optical interferometric technique

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