Extended Poroelasticity: An Analytical Solution and Its Application to p-Wave Propagation in Cervical Tissues
| Autor: | Roberto Palma Guerrero, Roberto Palma, Given Names Deactivated Family Name Deactivated, Antonio Manuel Callejas Zafra |
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| Rok vydání: | 2018 |
| Předmět: |
Physics
Work (thermodynamics) Article Subject Laplace transform Heaviside step function General Mathematics lcsh:Mathematics Relaxation (NMR) Poromechanics 0211 other engineering and technologies General Engineering Phase (waves) Non-equilibrium thermodynamics Context (language use) 02 engineering and technology Mechanics lcsh:QA1-939 symbols.namesake 020303 mechanical engineering & transports 0203 mechanical engineering lcsh:TA1-2040 symbols lcsh:Engineering (General). Civil engineering (General) 021106 design practice & management |
| Zdroj: | Repositori Universitat Jaume I Universitat Jaume I Mathematical Problems in Engineering, Vol 2018 (2018) Digibug. Repositorio Institucional de la Universidad de Granada instname |
| Popis: | This work presents a semianalytical solution based on Laplace transform to study the behaviour of poroelastic materials in the context of the Extended Nonequilibrium Thermodynamics. In this framework, the fluid phase incorporates a relaxation time and, consequently, a frequency-dependence appears. This rheological behaviour could explain the frequency-dependence experimentally observed in biological tissues, which has traditionally attributed to the solid phase of tissues. In particular, the analytical solution is applied to two cases, heaviside and sinusoidal inputs, of a semi-infinite domain, which is filled with a material such as the human cervix. Fromthe results, it is observed that the frequency-dependence of the fluid phase could be relevant to high relaxation times while for null relaxation times the classical poroelastic theory is recovered. Finally, the present analytical solution could be used to validate future computational codes and experimental settings. This research was supported by the Ministry of Education DPI2017-83859- R, DPI2014-51870- R, DPI2010-17065, and UNGR15-CE- 3664, Ministry of Health DTS15/00093, and PI16/00339, PI-0107-2017, PIN-0030-2017, and Junta de Andalucía P11-CTS- 8089 projects. |
| Databáze: | OpenAIRE |
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