基于增量正割平均场的平纹编织复合材料介观力学仿真

Mesoscale Mechanical Simulation of Plain-Weave Composite Materials Based on the Incremental Secant Mean Field Method

  • 摘要: 平纹编织复合材料通过交织结构赋予的多向力学性能、损伤容限与环境耐久性,结合其可定制化的设计自由度和成型工艺优势,成为实现设备轻量化、高性能关键材料。本文旨在解决平纹编织复合材料因其复杂介观结构而导致的力学行为预测难题。为此,本研究将一种先前为单向复合材料开发的增强型增量-正割平均场均质化(Mean-Field Homogenization, MFH)框架,拓展应用于平纹编织体系。该MFH框架在一个统一的均质化方案中,集成了非对称基体塑性、应变控制损伤、界面脱黏及纤维旋转等复杂物理机制。通过将其嵌入介观代表体积单元(Representative Volume Element, RVE)并进行系统的偏轴拉伸模拟,研究验证了该模型在复现实验观测到的非线性应力-应变响应、损伤演化及纤维转动方面具有卓越的精度。与全场直接数值模拟相比,该方法在计算成本上具备显著优势。经ABAQUS有限元仿真验证,本研究方法为编织复合材料的理性设计与性能评估提供了一个兼具高保真度与高效率的分析框架。

     

    Abstract: Plain-woven fiber-reinforced composites , with their multidirectional mechanical properties, damage tolerance, and environmental durability derived from their interwoven structure, combined with customizable design flexibility and molding process advantages, have become key materials for achieving lightweight, high-performance equipment.This paper addresses the challenge of predicting the mechanical behavior of plain-woven composites due to their complex mesoscale structure. To this end, the study extends the enhanced Incremental-Tangent Mean-Field Homogenization (MFH) framework, previously developed for unidirectional composites, to plain-woven systems. This MFH framework integrates complex physical mechanisms—including asymmetric matrix plasticity, strain-controlled damage, interfacial debonding, and fiber rotation—within a unified homogenization scheme. By embedding it into mesoscale representative volume elements (RVEs) and conducting systematic oblique tensile simulations, the study demonstrates the model's exceptional accuracy in reproducing experimentally observed nonlinear stress-strain responses, damage evolution, and fiber rotation. Compared to full-field direct numerical simulations, this approach offers significant computational cost advantages. Validated through ABAQUS finite element simulations, this methodology provides an analytical framework for rational design and performance evaluation of woven composites, combining high fidelity with high efficiency.

     

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