论文标题
在准静态弯曲下薄的整体和层压玻璃板的相位场断裂建模
Phase-field Fracture Modelling of Thin Monolithic and Laminated Glass Plates under Quasi-static Bending
论文作者
论文摘要
在据报道的整体和层压玻璃板的四点弯曲分析中，采用了脆性断裂的相位描述。 Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass plates, (ii) to assess the consequences of the dimensional reduction of the problem and mesh density and refinement, and (iii) to validate for quasi-static loading the time/temperature-dependent material properties we derived recently for two commonly used polymer foils made of Polyvinyl Butyral or Ethylene-Vinyl Acetate.由于裂缝之前的非线性响应（广泛使用的bourdin-francfort-marigo模型的典型表征）可能会导致对弯曲下的薄板的响应的显着高估，因此数值研究研究了两个附加的相位场裂缝模型，提供了应力施加图的线性弹性相。玻璃的临界断裂能和拉伸强度的典型值导致相位场长度尺度参数，该参数在数值模拟中挑战。因此，我们展示了如何确定相对于板厚度的尺寸降低和长度尺度参数的值的断裂能。比较表明，尽管仅使用准静态分析定位的一个/两个裂纹，但相位模型与层压玻璃的测量应力和抗性的应力和电阻提供了很好的一致性，而在实验过程中进行了多个裂纹。还已经观察到，使用具有最初预定义裂纹的2D平面压力模型可以很好地近似部分骨折的层压玻璃的刚度和抗性，这比单玻璃层极限提供了更好的估计。}
A phase-field description of brittle fracture is employed in the reported four-point bending analyses of monolithic and laminated glass plates. Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass plates, (ii) to assess the consequences of the dimensional reduction of the problem and mesh density and refinement, and (iii) to validate for quasi-static loading the time/temperature-dependent material properties we derived recently for two commonly used polymer foils made of Polyvinyl Butyral or Ethylene-Vinyl Acetate. As the nonlinear response prior to fracture, typical of the widely used Bourdin-Francfort-Marigo model, can lead to a significant overestimation of the response of thin plates under bending, the numerical study investigates two additional phase-field fracture models providing the linear elastic phase of the stress-strain diagram. The typical values of the critical fracture energy and tensile strength of glass lead to a phase-field length-scale parameter that is challenging to resolve in the numerical simulations. So, we show how to determine the fracture energy concerning the applied dimensional reduction and the value of the length-scale parameter relative to the thickness of the plate. The comparison shows that the phase-field models provide very good agreement with the measured stresses and resistance of laminated glass, despite the fact that only one/two cracks localised using the quasi-static analysis, whereas multiple cracks evolved during the experiment. It has also been observed that the stiffness and resistance of the partially fractured laminated glass can be well approximated using a 2D plane-stress model with initially predefined cracks, which provides a better estimation than the one-glass-layer limit.}
