Selene Solorza-Calderón, Jonathan Verdugo-Olachea, Rajitha Gurijala, Jesus Antonio Sauceda-Cazares
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引用次数: 0
Abstract
This paper aims to provide analytical equations for the torsional phase velocity of an infinite, isotropic, homogeneous, axial-symmetric, poroelastic cylinder employing stress-free boundary conditions for air-saturated and dry cases. Poroelasticity studies materials with a solid skeleton and a fluid-filled pore space. Usually, it is assumed that when the pore space is filled with air, there is practically no fluid flow within the pores; therefore, this case is considered dry. The analysis of wave propagation in a dry poroelastic cylinder is a reference point for understanding how the presence of some fluid modifies the wave’s behavior compared to the completely dry scenario. This work compares the phase velocities for the dry case and the air-saturated case obtained using the Biot theory, Biot viscosity-extended theory, and elasticity theory. The analytical expression for phase velocity is expressed in terms of the properties of the medium and frequency, with the torsional mode of vibration also appearing as a parameter, allowing us to identify which torsional mode is being excited.
期刊介绍:
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.