论文标题
Ultrasoft硅胶弹性体的非线性建模和表征
Nonlinear modeling and characterization of ultrasoft silicone elastomers
论文作者
论文摘要
我们引入了一种基于应变的非线性超弹性配方，以模拟Ultrasoft介电弹性体在各种弹性特性，Prestretch和厚度上的材料特性。我们建立在单轴Gent公式的基础上，并在等应变的条件下得出了凸起变形与压力的表达。开发了一种圆形凸起测试方法，以实验测量有机硅膜的机械响应。 GENT模型同时捕获了新霍克和应变刺激行为，并给出了与实验测量相一致的预测。在剪切模量的近一个数量级变化中，表征具有不同稀疏分数的膜。由于其中聚合物链的比例增加，观察到更硬的膜在较低的拉伸比以较低的比率硬化。目前的方法提供了一个简单且具有成本效益的过程，用于表征在通常遇到的双轴变形条件下的软膜。
We introduce a strain-energy based nonlinear hyper-elastic formulation to model the material properties of ultrasoft dielectric elastomers over a wide range of elastic properties, prestretch, and thicknesses. We build on the uniaxial Gent formulation, and under the conditions of equi-biaxial strain, derive an expression for the bulge deformation versus pressure. A circular bulge test methodology is developed to experimentally measure the mechanical response of the silicone membranes. The Gent model captures both neo-Hookean and strain-stiffening behaviors, and gives predictions which are in agreement with experimental measurements. Membranes with different thinner fractions are characterized over nearly one order of magnitude variation in shear modulus. Stiffer membranes are observed to harden at lower stretch ratios due to the increased fraction of polymer chains in them. The present approach offers a simple and cost-effective procedure for characterizing soft membranes under commonly encountered biaxial deformation conditions.
