基于次弹性模型的三维牙周膜建模仿真研究

建立和研究牙周膜的次黏弹性本构模型.对用次弹性模型描述牙周膜力学特性的合理性进行了分析,基于各向同性假设和小应变的条件进行推导,建立了基于单轴拉伸实验数据的牙周膜多轴次弹性模型;基于已有的试验数据,构建了牙周膜次黏弹性本构模型,并确定了粘性参数;在此基础上,建立了牙颌有限元模型,并使用次弹性模型对文献的实验进行了仿真.结果表明,有限元仿真结果与实验数据基本符合,该次弹性本构模型能够描述牙周膜的力学特性.

Three Dimensional Modeling and Simulation of Periodontal Ligament Based on Hypoelasticity

The hypoelastic constitutive model of periodontal ligament was built and investigated. The validation of using hypoelastic model to describe the mechanical character of periodontal ligament was analyzed, a hypoelastic model of periodontal ligament based on uniaxial extension data was deduced and built, with a hypothesis of isotropy and small strain. A viscoelastic model based on hypoelastic model and its parameter was derived. A dental finite element model was built to conduct analysis, with the same boundary condition of experiment in literature. The analysis result conforms to the experimental result. It is concluded that the character of periodontal ligament can be represented well with an isotropic hyperelastic model，the constitutive model of periodontal ligament is only an equivalent model and should be built according to the boundary condition adopted in finite element analysis.