Mandel's problem reloaded

Amin Mehrabian; Chao Liu

doi:10.1016/j.jsv.2020.115785

Mandel's problem reloaded

Amin Mehrabian, Chao Liu

Leone Family Department of Energy and Mineral Engineering (EME)

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

Mandel's problem considers the time-dependent, quasi-static deformation of a rectangular, laterally pervious specimen of fluid-saturated, poroelastic material after confinement by a suddenly applied, steady load from the top and bottom. Biot's theory of poroelastodynamics is used to generalize the analytical solution to this problem by accounting for the inertial body forces when the specimen is subjected to harmonic excitation. The poroelastodynamic solution entails and extends the well-known Mandel-Cryer effect of coupled poroelasticity in frequency domain.

Original language	English (US)
Article number	115785
Journal	Journal of Sound and Vibration
Volume	492
DOIs	https://doi.org/10.1016/j.jsv.2020.115785
State	Published - Feb 3 2021

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

Access to Document

10.1016/j.jsv.2020.115785

Cite this

@article{0c75f5006d114da386e4aa27c4302b82,

title = "Mandel's problem reloaded",

abstract = "Mandel's problem considers the time-dependent, quasi-static deformation of a rectangular, laterally pervious specimen of fluid-saturated, poroelastic material after confinement by a suddenly applied, steady load from the top and bottom. Biot's theory of poroelastodynamics is used to generalize the analytical solution to this problem by accounting for the inertial body forces when the specimen is subjected to harmonic excitation. The poroelastodynamic solution entails and extends the well-known Mandel-Cryer effect of coupled poroelasticity in frequency domain.",

author = "Amin Mehrabian and Chao Liu",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2021",

month = feb,

day = "3",

doi = "10.1016/j.jsv.2020.115785",

language = "English (US)",

volume = "492",

journal = "Journal of Sound and Vibration",

issn = "0022-460X",

publisher = "Academic Press",

}

TY - JOUR

T1 - Mandel's problem reloaded

AU - Mehrabian, Amin

AU - Liu, Chao

PY - 2021/2/3

Y1 - 2021/2/3

N2 - Mandel's problem considers the time-dependent, quasi-static deformation of a rectangular, laterally pervious specimen of fluid-saturated, poroelastic material after confinement by a suddenly applied, steady load from the top and bottom. Biot's theory of poroelastodynamics is used to generalize the analytical solution to this problem by accounting for the inertial body forces when the specimen is subjected to harmonic excitation. The poroelastodynamic solution entails and extends the well-known Mandel-Cryer effect of coupled poroelasticity in frequency domain.

AB - Mandel's problem considers the time-dependent, quasi-static deformation of a rectangular, laterally pervious specimen of fluid-saturated, poroelastic material after confinement by a suddenly applied, steady load from the top and bottom. Biot's theory of poroelastodynamics is used to generalize the analytical solution to this problem by accounting for the inertial body forces when the specimen is subjected to harmonic excitation. The poroelastodynamic solution entails and extends the well-known Mandel-Cryer effect of coupled poroelasticity in frequency domain.

UR - http://www.scopus.com/inward/record.url?scp=85092784891&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85092784891&partnerID=8YFLogxK

U2 - 10.1016/j.jsv.2020.115785

DO - 10.1016/j.jsv.2020.115785

M3 - Article

AN - SCOPUS:85092784891

SN - 0022-460X

VL - 492

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

M1 - 115785

ER -

Mandel's problem reloaded

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this