An analytical theory for the unconfined creep behavior of a cylindrical inclusion (simulating a soft tissue tumor) embedded in a cylindrical background sample (simulating normal tissue) is presented and analyzed in this paper. Both the inclusion and the background are considered as fluid-filled, porous materials, each of them being characterized by a set of mechanical properties. Specifically, in this paper, the inclusion is considered to be less permeable than the background. The cylindrical sample is compressed using a constant pressure within two frictionless plates and is allowed to expand in an unconfined way along the radial direction. Analytical expressions for the effective Poisson's ratio (EPR) and fluid pressure inside and outside the inclusion are derived and analyzed. The theoretical results are validated using finite element models (FEMs). Statistical analysis shows excellent agreement between the results obtained from the developed model and the results from FEM. Thus, the developed theoretical model can be used in medical imaging modalities such as ultrasound poroelastography to extract the mechanical parameters of tissues and/or to better understand the impact of different mechanical parameters on the estimated displacements, strains, stresses, and fluid pressure inside a tumor and in the surrounding tissue.
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June 2019
Research-Article
An Analytical Poroelastic Model of a Nonhomogeneous Medium Under Creep Compression for Ultrasound Poroelastography Applications—Part I
Md Tauhidul Islam,
Md Tauhidul Islam
Ultrasound and Elasticity Imaging Laboratory,
Department of Electrical &
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: tauhid@tamu.edu
Department of Electrical &
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: tauhid@tamu.edu
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J. N. Reddy,
J. N. Reddy
Professor
Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: jnreddy@tamu.edu
Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: jnreddy@tamu.edu
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Raffaella Righetti
Raffaella Righetti
Department of Electrical &
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: righetti@ece.tamu.edu
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: righetti@ece.tamu.edu
1Corresponding author.
Search for other works by this author on:
Md Tauhidul Islam
Ultrasound and Elasticity Imaging Laboratory,
Department of Electrical &
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: tauhid@tamu.edu
Department of Electrical &
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: tauhid@tamu.edu
J. N. Reddy
Professor
Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: jnreddy@tamu.edu
Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: jnreddy@tamu.edu
Raffaella Righetti
Department of Electrical &
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: righetti@ece.tamu.edu
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: righetti@ece.tamu.edu
1Corresponding author.
Manuscript received November 27, 2017; final manuscript received June 16, 2018; published online April 22, 2019. Assoc. Editor: Steven D. Abramowitch.
J Biomech Eng. Jun 2019, 141(6): 060902 (16 pages)
Published Online: April 22, 2019
Article history
Received:
November 27, 2017
Revised:
June 16, 2018
Citation
Islam, M. T., Reddy, J. N., and Righetti, R. (April 22, 2019). "An Analytical Poroelastic Model of a Nonhomogeneous Medium Under Creep Compression for Ultrasound Poroelastography Applications—Part I." ASME. J Biomech Eng. June 2019; 141(6): 060902. https://doi.org/10.1115/1.4040603
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