集成解析与有限元方法的黏弹性建模框架：应用于WSe2涂层
An integrated viscoelastic modeling framework combining analytical and FEM approaches: Application to WSe2 coatings
- Czech Technical University in Prague（布拉格捷克理工大学）
- University of Southampton（南安普顿大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究提出一种结合解析Burgers模型与ABAQUS有限元模拟的集成黏弹性建模框架，通过Nelder-Mead优化反演表征WSe2涂层纳米压痕响应，实验验证准确且高效，并能揭示内部应力应变场以分析失效机制。
AI中文摘要：
本研究提出了一种集成方法，结合基于解析和有限元（FEM）的黏弹性建模，用于表征涂层的纳米压痕响应。该框架结合了两种互补的建模方法：一种基于Burgers公式的解析模型，用于分析纳米压痕载荷-位移数据并提取流变参数；另一种是在ABAQUS中实现的数值FEM模型，采用二维轴对称压头-涂层-基底构型，并通过Prony级数表示黏弹性。采用基于Nelder-Mead单纯形算法的自动逆优化程序，以最小化实验与模拟响应之间的差异。该方法在WSe2涂层上进行了演示和验证，结果显示解析预测、FEM模拟和实验测量之间具有良好的一致性。尽管存在几何简化，FEM方法在保持时间相关力学行为高计算效率的同时，提供了准确的预测。该框架为从纳米压痕数据表征黏弹性行为提供了稳健工具，同时能够获取内部应力和应变场，从而更深入地理解塑性变形、裂纹萌生和失效机制。
英文摘要：
This work presents an integrated methodology combining analytical and finite element FEM based viscoelastic modeling for characterizing the nanoindentation response of coatings. The proposed framework combines two complementary modeling approaches: an analytical model based on the Burgers formulation to analyze nanoindentation load displacement data and extract rheological parameters, and a numerical FEM model implemented in ABAQUS using a 2D axisymmetric indenter coating substrate configuration with viscoelasticity represented through Prony series. An automated inverse optimization routine employing the Nelder Mead simplex algorithm minimizes the discrepancy between experimental and simulated responses. The methodology is demonstrated and validated on WSe2 coatings, showing an agreement between the analytical predictions, FEM simulations, and experimental measurements. Despite the geometric simplifications, the FEM approach provides accurate predictions while maintaining high computational efficiency of time dependent mechanical behavior. The proposed framework provides a robust tool for characterizing viscoelastic behavior from nanoindentation data while enabling access to internal stress and strain fields, thereby offering deeper insight into plastic deformation, crack initiation, and failure mechanism.
