基于多线性本构与损伤耦合的叠层陶瓷基复合材料数值预测方法  

Numerical Prediction Method of Laminated Ceramic Matrix Composite Based on the Multilinear Constitutive and the Coupling of Damage

作　　者：刘斌[1] 曹立阳 王波[1] 杨腾飞 刘永胜 司源 Liu Bin;Cao Liyang;Wang Bo;Yang Tengfei;Liu Yongsheng;Si Yuan(Northwestern Polytechnical University,Xi’an 710072,China;Key Laboratory of Thermo Structural Composite Materials,Xi’an 710072,China;Key Laboratory of Science and Technology on High Performance Electromagnetic Windows,AVIC Research Institute for Special Structures of Aeronautical Composites,Ji’nan 250023,China)

机构地区：[1]西北工业大学,陕西西安710072 [2]超高温结构复合材料重点实验室,陕西西安710072 [3]航空工业济南特种结构研究所高性能电磁窗航空科技重点实验室,山东济南250023

出　　处：《航空科学技术》2023年第6期54-65,共12页Aeronautical Science & Technology

基　　金：国家自然科学基金(51902256);航空科学基金(2020Z057053002);工业装备结构分析国家重点实验室开放基金(GZ21115)。

摘　　要：本文提出一种用于预测复杂应力状态下叠层C/SiC损伤破坏的有限元渐进损伤方法(FE-PDM),并提出与试验载荷—位移曲线、损伤等进行对比、迭代并最终确定模型参数的反演方法。FE-PDM方法包括基于应变控制的3D失效准则,正交各向异性多线性本构关系,基于刚度矩阵的损伤因子耦合方法,以及预测分层的内聚力方法。通过2D叠层C/SiC的面内拉伸、面内剪切、三点弯曲试验分别验证了FE-PDM方法,并分别采用扫描电子显微镜及X射线技术对试样断口形貌和内部损伤进行了分析。结果表明,通过较少的控制参数,FE-PDM方法可精确地预测2D叠层C/SiC各阶段的应力—应变曲线拐点、损伤起始与演化过程及载荷—位移响应曲线等,并与试验结果吻合良好。This paper proposes a finite element-progressive damage method(FE-PDM)to predict the laminated C/SiC damage and failure under complicated stress state in coupling conditions,and proposes an inversion method for comparing and iterating with experimental load-displacement curves,damage,etc.,and ultimately determining model parameters.The FE-PDM method includes damage criterion based on failure modes of the strain control,multilinear constitutive relationship with orthogonal anisotropy,damage factor coupling method based on stiffness matrix,and Cohesive Zone Method used for predicting delamination.The FE-PDM method is validated through in-plane tensile,in-plane shear,and three points bending tests of 2D laminated C/SiC,and the fracture morphology and internal damage of the samples are analyzed using scanning electron microscopy and X-ray technology.Validation implies that,with fewer control parameters,the FE-PDM method can accurately predict the stress-strain curve inflection points,damage initiation and evolution processes,and response history of load-displacement curves of 2D laminated C/SiC at various stages,which is in good agreement with experimental results.

关 键 词：陶瓷基复合材料 FE-PDM 本构关系 损伤演化 

分 类 号：V214.8[航空宇航科学与技术—航空宇航推进理论与工程]