Clinical interventions can change the mechanical environment of the tissues targeted for therapy. In order to design better procedures, it is important to understand cellular responses to altered mechanical stress. Rigid fixation is one example of a constraint imposed on living tissues as a result of implanted devices. This results in disturbed stress and strain fields, with potentially strong gradients. Herein, we numerically solve the governing nonlinear ordinary differential equation for the stress distribution in a finitely deformed anisotropic circular membrane with a concentric fixation by applying a zero-displacement condition at the inner circumference. Results show that rigid fixations yield distributions of stress and strain that are markedly different from tissue defects with traction-free boundaries. Moreover, the material anisotropy plays a significant role in the manner the stress redistributes regardless of the size of fixation. The present study will contribute to the design of experiments to determine cellular reactions involved in the failure of interventional treatments.
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June 2005
Technical Briefs
Stress Distribution in a Circular Membrane With a Central Fixation
Daisuke Mori,
Daisuke Mori
Department of Biomedical Engineering,
Texas A&M University
337 Zachry Engineering Center, 3120 TAMU College Station, TX, 77843-3120
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Guido David,
Guido David
Department of Biomedical Engineering,
Texas A&M University
337 Zachry Engineering Center, 3120 TAMU College Station, TX, 77843-3120
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Jay D. Humphrey,
Jay D. Humphrey
Department of Biomedical Engineering,
Texas A&M University
337 Zachry Engineering Center, 3120 TAMU College Station, TX, 77843-3120
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James E. Moore, Jr.
James E. Moore, Jr.
Department of Biomedical Engineering,
Texas A&M University
337 Zachry Engineering Center, 3120 TAMU College Station, TX, 77843-3120
Search for other works by this author on:
Daisuke Mori
Department of Biomedical Engineering,
Texas A&M University
337 Zachry Engineering Center, 3120 TAMU College Station, TX, 77843-3120
Guido David
Department of Biomedical Engineering,
Texas A&M University
337 Zachry Engineering Center, 3120 TAMU College Station, TX, 77843-3120
Jay D. Humphrey
Department of Biomedical Engineering,
Texas A&M University
337 Zachry Engineering Center, 3120 TAMU College Station, TX, 77843-3120
James E. Moore, Jr.
Department of Biomedical Engineering,
Texas A&M University
337 Zachry Engineering Center, 3120 TAMU College Station, TX, 77843-3120J Biomech Eng. Jun 2005, 127(3): 549-553 (5 pages)
Published Online: January 31, 2005
Article history
Received:
August 25, 2004
Revised:
December 28, 2004
Accepted:
January 31, 2005
Citation
Mori, D., David, G., Humphrey, J. D., and Moore, J. E., Jr. (January 31, 2005). "Stress Distribution in a Circular Membrane With a Central Fixation." ASME. J Biomech Eng. June 2005; 127(3): 549–553. https://doi.org/10.1115/1.1894389
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