{"title":"An anisotropic multi-phase field model for damage of fiber reinforced composites","authors":"Yuanfeng Yu , Chi Hou","doi":"10.1016/j.compscitech.2025.111288","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, an anisotropic multi phase field variables model is proposed for the failure of fiber reinforced composites. In composites, to calculate the strain field at different fiber orientations, the strain in the global coordinate system can be converted to strain in local one by means of a coordinate transformation matrix. Inspired by this idea, a coordinate transformation matrix for the phase field variable is proposed. Based on the coordinate transformation, an anisotropic crack density function capable of describing different fiber orientations is constructed. Secondly, the phase field distribution function and crack bandwidths corresponding to the new crack density function are derived, the influence of different model parameter on the fracture properties are further analyzed, and the reasonable value ranges of these parameters are determined. In order to characterize the effects of different properties of fiber and matrix on the damage evolution of the structure, a mixed mode driving force is proposed. Meanwhile, based on the driving force, the fiber and matrix damage initiation criteria are derived, and the Hashin failure criteria of different dimensions corresponding to the fiber and matrix under tensile conditions are obtained, thus determining the damage evolution laws of fibers and matrix. Finally, the presented model is validated by some examples. The numerical results indicate that the new model can be effectively adopted to study the interlaminar and interface damage of composites under different modes, showing the validity of the proposed model.</div></div>","PeriodicalId":283,"journal":{"name":"Composites Science and Technology","volume":"270 ","pages":"Article 111288"},"PeriodicalIF":8.3000,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Composites Science and Technology","FirstCategoryId":"88","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0266353825002568","RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, COMPOSITES","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, an anisotropic multi phase field variables model is proposed for the failure of fiber reinforced composites. In composites, to calculate the strain field at different fiber orientations, the strain in the global coordinate system can be converted to strain in local one by means of a coordinate transformation matrix. Inspired by this idea, a coordinate transformation matrix for the phase field variable is proposed. Based on the coordinate transformation, an anisotropic crack density function capable of describing different fiber orientations is constructed. Secondly, the phase field distribution function and crack bandwidths corresponding to the new crack density function are derived, the influence of different model parameter on the fracture properties are further analyzed, and the reasonable value ranges of these parameters are determined. In order to characterize the effects of different properties of fiber and matrix on the damage evolution of the structure, a mixed mode driving force is proposed. Meanwhile, based on the driving force, the fiber and matrix damage initiation criteria are derived, and the Hashin failure criteria of different dimensions corresponding to the fiber and matrix under tensile conditions are obtained, thus determining the damage evolution laws of fibers and matrix. Finally, the presented model is validated by some examples. The numerical results indicate that the new model can be effectively adopted to study the interlaminar and interface damage of composites under different modes, showing the validity of the proposed model.
期刊介绍:
Composites Science and Technology publishes refereed original articles on the fundamental and applied science of engineering composites. The focus of this journal is on polymeric matrix composites with reinforcements/fillers ranging from nano- to macro-scale. CSTE encourages manuscripts reporting unique, innovative contributions to the physics, chemistry, materials science and applied mechanics aspects of advanced composites.
Besides traditional fiber reinforced composites, novel composites with significant potential for engineering applications are encouraged.