Effective antiplane shear moduli of the composites with doubly periodic fibers

2017 International Conference on Material Engineering and Manufacturing

Xu, Yao-Ling^1 ; Shen, Yan-Zhi^2

Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province, Yanshan University, Qinhuangdao

066004, China^1

College of Mechanics Engineering, Yanshan University, Qinhuangdao

066004, China^2

关键词: Antiplane shear;    Antiplane strain;    Doubly periodic;    Elastic fields;    Equivalence conditions;    Far field;    Homogeneous medium;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/265/1/012004/pdf
DOI  :  10.1088/1757-899X/265/1/012004

来源: IOP

【 摘 要 】

A novel method for determining the elastic field in the composite with doubly periodic fibers under far-field antiplane strains is presented. The composite is replaced by a homogeneous medium with doubly periodic stresses, which are not related to the strains, in the regions corresponding to the fibers of the composite, the equivalence condition between the composite and homogeneous medium is established. The homogeneous medium with the doubly periodic stresses is solved, and the elastic fields are obtained in the doubly periodic fibers and the matrix. The obtained elastic field is used to evaluate the effective antiplane shear moduli of the composites, good agreements with the existing results are observed.