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- Title
横观各向同性基体复合材料的等效弹性常数.
- Authors
张春春; 王艳超; 黄争鸣
- Abstract
One of the main objectives of micromechanics is to predict the effective elastic prop⁃ erties of composites. Most existent explicit micromechanics models are based on an assumption of isotropic matrices and on that only 2⁃phase constituent materials are involved. In reality, a composite may possess a 3rd interphase between the fiber and the matrix, which is generally transversely isotropic. Accordingly, the prediction of the elastic properties of a 3⁃phase compos⁃ ite can be achieved through the combination of 2 kinds of 2⁃phase composites, to which a mi⁃ cromechanics model with transversely isotropic matrix should be applicable. The explicit bridg⁃ ing tensor elements to correlate the internal stresses of a transversely isotropic matrix with those of a reinforcing fiber in a concentric cylinder assemblage (CCA) model were derived first⁃ ly. Then this obtained bridging tensor was used to deduce analytical formulae for all the 5 effec⁃ tive elastic moduli of the composite made with the transversely isotropic matrix. An extension of the bridging model applicable to fiber reinforced transversely isotropic matrix composites was achieved as well. With properly chosen bridging parameters, the predicted elastic moduli of the composite with the 2 models are quite close to each other.
- Publication
Applied Mathematics & Mechanics (1000-0887), 2018, Vol 39, Issue 7, p750
- ISSN
1000-0887
- Publication type
Academic Journal
- DOI
10.21656/1000-0887.380267