On the effect of prestrain and residual stress in thin biological membranes.
On the effect of prestrain and residual stress in thin biological membranes.
复制标题
DOI：
10.1016/j.jmps.2013.04.005
复制
发表时间：
2013-09-01
影响因子：
5.3
通讯作者：
Kuhl E
中科院分区：
文献类型：
--
作者：
Rausch MK;Kuhl E
了解离体和体内测量之间的差异对于解释活生物系统的承载机制至关重要。在过去的四十年中，薄生物膜的离体刚度已经使用具有非常一致的刚度参数的单轴和双轴测试来表征，即使在不同的物种中。最近，在体内刚度的特点是使用组合成像技术和逆有限元分析。令人惊讶的是，离体和体内刚度值相差高达三个数量级。在这里，我们第一次用预应变的概念来解释这种巨大的差异。我们通过将总弹性变形乘法分解为预应变引起的部分和载荷引起的部分来说明非线性连续介质力学中预应变的数学建模。使用在体内测得的膜运动学和相关的压力记录，我们进行了逆有限元分析不同的预应变水平，并表明所得到的膜刚度可能确实不同的四个数量级取决于预应变水平。我们的研究激发了这样一种假设，即预应变对于将体内薄生物膜定位到其最佳操作范围内是重要的，就在硬化制度的过渡点。了解预应变的影响在再生医学、医疗器械设计和薄生物膜替代结构的组织工程中具有直接的临床意义。
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 and tissue engineering of replacement constructs for thin biological membranes.
登录
查看更多内容
影响因子：
3.8
作者：
Amini, Rouzbeh;Eckert, Chad E.;Koomalsingh, Kevin;McGarvey, Jeremy;Minakawa, Masahito;Gorman, Joseph H.;Gorman, Robert C.;Sacks, Michael S.
通讯作者：
Sacks, Michael S.
影响因子：
9.7
作者：
Balzani, D.;Schroeder, J.;Gross, D.
通讯作者：
Gross, D.
影响因子：
5.3
作者：
Chen, Yi-chao;Eberth, John F.
通讯作者：
Eberth, John F.
影响因子：
2
作者：
Johnson, BE;Hoger, A
通讯作者：
Hoger, A
影响因子：
37.8
作者：
Bothe, Wolfgang;Rausch, Manuel K.;Miller, D. Craig
通讯作者：
Miller, D. Craig