A one-dimensional mixed porohyperelastic transport swelling finite element model with growth.
A one-dimensional mixed porohyperelastic transport swelling finite element model with growth.
复制标题
具有增长的一维混合多孔超弹性输运膨胀有限元模型。
DOI：
10.1016/j.jmbbm.2013.04.019
复制
发表时间：
2014
影响因子：
3.9
通讯作者：
VandeGeest,JP
中科院分区：
文献类型：
--
作者：
Harper,JL;Simon,BR;VandeGeest,JP
在MatLab中建立了一维、大应变、混合孔超弹性传输和膨胀(MPHETS)有限元模型，并将其与软组织生长模型相结合，以允许该模型在恒定的材料密度下生长(长度增加)或收缩(长度减少)。通过使用有限元模型来确定变形和应力状态，有可能在未来的程序中实现不同的生长规律，以模拟软组织在暴露于各种刺激(如机械、化学或电气)时的生长和行为。本文明确并解释了使用具有成长性的MPHETS模型所需的基本假设。然而，这项工作的主要假设是，生长所作用的应力是固体骨架中的应力，即有效应力seff。结果表明，与纯固体模型相比，在相同的加载条件下，使用多孔超弹性模型所经历的生长量明显不同。在一个特定的例子中，MPHETS模型中发生的总增长比实体模型中的低约51%，即使这两个问题受到相同的外部负载。这项工作代表了开发更复杂的模型的第一步，该模型能够捕捉生长和重塑组织中复杂的机械和生化环境。
A one-dimensional, large-strain, mixed porohyperelastic transport and swelling (MPHETS) finite element model was developed in MATLAB and incorporated with a well-known growth model for soft tissues to allow the model to grow (increase in length) or shrink (decrease in length) at constant material density. By using the finite element model to determine the deformation and stress state, it is possible to implement different growth laws in the program in the future to simulate how soft tissues grow and behave when exposed to various stimuli (e.g. mechanical, chemical, or electrical). The essential assumptions needed to use the MPHETS model with growth are clearly identified and explained in this paper. The primary assumption in this work, however, is that the stress upon which growth acts is the stress in the solid skeleton, i.e. the effective stress,Seff. It is shown that significantly different amounts of growth are experienced for the same loading conditions when using a porohyperelastic model as compared to a purely solid model. In one particular example, approximately 51% less total growth occurred in the MPHETS model than in the solid model even though both problems were subjected to the same external loading. This work represents a first step in developing more sophisticated models capable of capturing the complex mechanical and biochemical environment in growing and remodeling tissues.