期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 61, 期 9, 页码 1955-1969出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2013.04.005
关键词
Prestrain; Residual stress; Parameter identification; Finite element method; Mitral leaflet
资金
- Stanford University BioX Fellowship
- National Science Foundation [CMMI 0952021, 1233054]
- National Institutes of Health [U54 GM072970]
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1233054] Funding Source: National Science Foundation
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [0952021] Funding Source: National Science Foundation
Understanding the difference between ex vivo and in vivo measurements is critical to interpret the load carrying mechanisms of living biological systems. For the past four decades, the ex vivo stiffness of thin biological membranes has been characterized using uniaxial and biaxial tests with remarkably consistent stiffness parameters, even across different species. Recently, the in vivo stiffness was characterized using combined imaging techniques and inverse finite element analyses. Surprisingly, ex vivo and in vivo stiffness values differed by up to three orders of magnitude. Here, for the first time, we explain this tremendous discrepancy using the concept of prestrain. We illustrate the mathematical modeling of prestrain in nonlinear continuum mechanics through the multiplicative decomposition of the total elastic deformation into prestrain-induced and load-induced parts. Using in vivo measured membrane kinematics and associated pressure recordings, we perform an inverse finite element analysis for different prestrain levels and show that the resulting membrane stiffness may indeed differ by four orders of magnitude depending on the prestrain level. Our study motivates the hypothesis that prestrain is important to position thin biological membranes in vivo into their optimal operating range, right at the transition point of the stiffening regime. Understanding the effect of prestrain has direct clinical implications in regenerative medicine, medical device design, and tissue engineering of replacement constructs for thin biological membranes. (C) 2013 Elsevier Ltd. All rights reserved.
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