{"title":"A Procedure for the Numerical Determination of the Strength Criterion Parameters of a Three-Dimensionally Reinforced Composite Material","authors":"A. V. Morozov, G. I. Lvov","doi":"10.1007/s11223-024-00626-8","DOIUrl":null,"url":null,"abstract":"<p>A numerical procedure for determining the parameters of the quadratic strength criterion for composite materials is presented, which considers the difference in tensile and compressive ultimate stresses. In addition to the reinforcement geometry, the elastic properties and ultimate stresses of fibers and the matrix are used as input data. The developed approach is based on the finite element modeling of a representative element of the volume of a three-dimensionally reinforced composite material. The boundary conditions are formulated, which makes it possible to reproduce the stress state within this volume under different types of homogeneous (on average) loads of the composite material. The local maximum equivalent stresses were determined separately for fibers and the matrix, which were used to determine the calculated ultimate stresses of the composite. The numerical results for flat specimens under tension in two directions and shear in the specimen plane were experimentally verified. The maximum difference between the calculated and experimental values of ultimate stress is 6.13%, which makes it possible to use the proposed procedure in design works.</p>","PeriodicalId":22007,"journal":{"name":"Strength of Materials","volume":"3 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Strength of Materials","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1007/s11223-024-00626-8","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 0
Abstract
A numerical procedure for determining the parameters of the quadratic strength criterion for composite materials is presented, which considers the difference in tensile and compressive ultimate stresses. In addition to the reinforcement geometry, the elastic properties and ultimate stresses of fibers and the matrix are used as input data. The developed approach is based on the finite element modeling of a representative element of the volume of a three-dimensionally reinforced composite material. The boundary conditions are formulated, which makes it possible to reproduce the stress state within this volume under different types of homogeneous (on average) loads of the composite material. The local maximum equivalent stresses were determined separately for fibers and the matrix, which were used to determine the calculated ultimate stresses of the composite. The numerical results for flat specimens under tension in two directions and shear in the specimen plane were experimentally verified. The maximum difference between the calculated and experimental values of ultimate stress is 6.13%, which makes it possible to use the proposed procedure in design works.
期刊介绍：
Strength of Materials focuses on the strength of materials and structural components subjected to different types of force and thermal loadings, the limiting strength criteria of structures, and the theory of strength of structures. Consideration is given to actual operating conditions, problems of crack resistance and theories of failure, the theory of oscillations of real mechanical systems, and calculations of the stress-strain state of structural components.
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