A New Viscous Potential Function for Developing the Viscohyperelastic Constitutive Model for Bovine Liver Tissue: Continuum Formulation and Finite Element Implementation
| Autor: | Zahra Matin Ghahfarokhi, Mahdi Moghimi Zand, Mehdi Salmani-Tehrani, Sara Esmaeilian |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
Continuum (measurement) Mechanical Engineering Physics::Medical Physics Constitutive equation Rate dependent Soft tissue 02 engineering and technology 021001 nanoscience & nanotechnology Viscoelasticity Finite element method 020303 mechanical engineering & transports Classical mechanics 0203 mechanical engineering Mechanics of Materials Liver tissue General Materials Science 0210 nano-technology |
| Zdroj: | International Journal of Applied Mechanics. 12:2050029 |
| ISSN: | 1758-826X 1758-8251 |
| DOI: | 10.1142/s1758825120500295 |
| Popis: | The mechanical behavior of very soft tissues, such as liver, brain, kidney, etc. is assumed to be viscohyperelastic. The conventional approaches like quasi-linear viscoelastic (QLV) are limited to low strain rates and are unable to capture the short-term memory effects. In this paper, a new viscohyperelastic constitutive model is presented in which the strain energy function is decomposed into an elastic and a viscous part. The elastic part of the strain energy is assumed as a Mooney–Rivlin model, while a new viscous potential, as a function of strain and its rate, is proposed. Unconfined uniaxial compression tests are conducted up to 10% compression at two loading velocities of 1.3 and 10.56[Formula: see text](mm/min), to determine the material constants. A numerical simulation is also used to investigate the model-predicted material behavior. It is shown that the model is more sensitive to the hyperelastic parameters than the viscous parameters. This model is also able to predict the stress relaxation and hysteresis; however, an instantaneous relaxation is observed. |
| Databáze: | OpenAIRE |
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