方形孔结构细胞支架非线性流固耦合数值计算
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国家自然科学基金资助项目(308706060)


Numerical computation on the scaffolds models with regular square holes using nonlinear fluid-solid-coupling approaches
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    摘要:

    目的 讨论三维方形孔细胞支架不同孔隙率和不同孔半径对细胞表面固体场和流体场的影响,以及将多孔支架视为刚性体和非线性变形体对计算结果的影响。方法 采用了一种直接耦合解法和和两种间接耦合解法,两种间接耦合解法分别是有限元法(固体模型)与有限差分法(流体模型)耦合、有限元法(固体模型)与有限体积法(流体模型)耦合。对3种流固耦合计算方法的可靠性进行了验证。结果 通过对构建的12种模型的计算(50、100和150μm 三种边长和61%、 65%、77%和84%四种孔隙率),获得了固体模型的应力场、应变场和位移场和流体模型的静压、速度、壁面剪应力和切变率,并对结果进行了比较分析。结论 将多孔支架视为刚性体和非线性变形体计算结果有一定差别;孔隙率确定时不同孔半径以及孔半径确定时不同孔隙率条件对固体场计算结果和流体场都有不同程度的影响。

    Abstract:

    Objective The influencing parameters of solid and fluid computing fields for the scaffolds models with regular square holes were discussed by nonlinear fluid-solid-coupling approaches, the numerical computational results of which the models were regarded as both rigid body and non-linear elasticity were compared as well. Method one direct fluid-solid-coupling approach and two indirect fluid-solid-coupling approaches were adopted, and the calculating reliability of three kinds of fluid-solid coupling methods were verified. Results The solid-fluid-coupling computational results are obtained in light of 12 kinds of scaffolds which were constructed by 3 groups of square side length (50,100 and 150μm) and 4 groups of porosity (61%,65%,77% and 84%). The field parameters of those solid models including stress, strain and displacement and those fluid models including static pressure, velocity, wall shear stress and strain rate are achieved and compared.Conclusions A quiet difference between the results of porous scaffold models as a rigid body and that of non-linear elasticity. The different porosity with the same pore radius or the different pore radius with the same porosity effected the field parameters of solid models and fluid models in varying degrees.

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翟雅斌,崔玉红,李文娇.方形孔结构细胞支架非线性流固耦合数值计算[J].医用生物力学,2010,25(1):4-10

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