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 parameters. Specifically, in this derivation, the inclusion is assumed to have significantly higher interstitial permeability than the background. The formulations of the effective Poisson's ratio (EPR) and fluid pressure in the inclusion and in the background are derived for the case of a sample subjected to a creep compression. The developed analytical expressions are validated using finite element models (FEM). Statistical comparison between the results obtained from the developed model and the results from FEM demonstrates accuracy of the proposed theoretical model higher than 99.4%. The model presented in this paper complements the one reported in the companion paper (Part I), which refers to the case of an inclusion having less interstitial permeability than the background.
Skip Nav Destination
Article navigation
June 2019
Research-Article
An Analytical Poroelastic Model of a Nonhomogeneous Medium Under Creep Compression for Ultrasound Poroelastography Applications—Part II
Md Tauhidul Islam,
Md Tauhidul Islam
Ultrasound and Elasticity Imaging Laboratory,
Department of Electrical and
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: tauhid@tamu.edu
Department of Electrical and
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: tauhid@tamu.edu
Search for other works by this author on:
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
Search for other works by this author on:
Raffaella Righetti
Raffaella Righetti
Department of Electrical and
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 and
Computer Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: tauhid@tamu.edu
Department of Electrical and
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 and
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): 060903 (12 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 II." ASME. J Biomech Eng. June 2019; 141(6): 060903. https://doi.org/10.1115/1.4040604
Download citation file:
Get Email Alerts
Cited By
Related Articles
An Analytical Poroelastic Model of a Nonhomogeneous Medium Under Creep Compression for Ultrasound Poroelastography Applications—Part I
J Biomech Eng (June,2019)
A Novel Finite Element Model to Assess the Effect of Solid Stress Inside Tumors on Elastographic Normal Strains and Fluid Pressure
ASME J of Medical Diagnostics (August,2019)
Dependence of Mechanical Behavior of the Murine Tail Disc on Regional Material Properties: A Parametric Finite Element Study
J Biomech Eng (December,2005)
An Analytical Model of Tumors With Higher Permeability Than Surrounding Tissues for Ultrasound Elastography Imaging
ASME J of Medical Diagnostics (August,2018)
Related Proceedings Papers
Related Chapters
Introduction
Design of Mechanical Bearings in Cardiac Assist Devices
Experimental Studies
Nanoparticles and Brain Tumor Treatment
Basic Concepts
Design & Analysis of ASME Boiler and Pressure Vessel Components in the Creep Range