On account of the Mori-Tanaka approach,the effective elastic performance of composites containing decagonal symmetric two-dimensional(2D)quasicrystal(QC)coatings is studied.Explicit expressions for the effective elast...On account of the Mori-Tanaka approach,the effective elastic performance of composites containing decagonal symmetric two-dimensional(2D)quasicrystal(QC)coatings is studied.Explicit expressions for the effective elastic constants of rare-earth QC reinforced magnesium-based composites are provided.Detailed discussion is presented on the effects of the volume fraction of the inclusions,the aspect ratio of the inclusions,the coating thickness,and the coating material parameters on the effective elastic constants of the composites.The results indicate that considering the coating increases the effective elastic constants of the composites to some extent.展开更多
The obvious shortcoming of the generalized self-consistent method (GSCM) is that the effective shear modulus of composite materials estimated by the method can not be expressed in an explicit form. This is inconvenien...The obvious shortcoming of the generalized self-consistent method (GSCM) is that the effective shear modulus of composite materials estimated by the method can not be expressed in an explicit form. This is inconvenient in engineering applications. In order to overcome that shortcoming of GSCM, a reformation of GSCM is made and a new micromechanical scheme is suggested in this paper. By means of this new scheme, both the effective bulk and shear moduli of an inclusion-matrix composite material can be obtained and be expressed in simple explicit forms. A comparison with the existing models and the rigorous Hashin-Shtrikman bounds demonstrates that the present scheme is accurate. By a two-step homogenization technique from the present new scheme, the effective moduli of the composite materials with coated spherical inclusions are obtained and can also be expressed in an explicit form. The comparison with the existing theoretical and experimental results shows that the present solutions are satisfactory. Moreover, a quantitative comparison of GSCM and the Mori-Tanaka method (MTM) is made based on a unified scheme.展开更多
The weak point of the generalized self-consistent method (GSCM) isthat its solution for the effective shear moduli involves determiningthe complicated displacement and strain fields in con- stituents.Furthermore, the ...The weak point of the generalized self-consistent method (GSCM) isthat its solution for the effective shear moduli involves determiningthe complicated displacement and strain fields in con- stituents.Furthermore, the effective moduli estimated by GSCM cannot beexpressed in an explicit form. Instead of following the procedure ofGSCM, in this paper a generalized self-consistent Mori- Tanaka method(GSCMTM) is developed by means of Hill's interface condition and theassumption that the strain in the inclusion is uniform. A comparisonwith the existing theoretical and experimental results shows that thepresent GSCMTM is sufficiently accurate to predict the effectivemoduli of the coated inclusion-based composite materials.展开更多
基金Project supported by the Inner Mongolia Natural Science Foundation of China(No.2021MS01013)。
文摘On account of the Mori-Tanaka approach,the effective elastic performance of composites containing decagonal symmetric two-dimensional(2D)quasicrystal(QC)coatings is studied.Explicit expressions for the effective elastic constants of rare-earth QC reinforced magnesium-based composites are provided.Detailed discussion is presented on the effects of the volume fraction of the inclusions,the aspect ratio of the inclusions,the coating thickness,and the coating material parameters on the effective elastic constants of the composites.The results indicate that considering the coating increases the effective elastic constants of the composites to some extent.
基金The project supported by the National Natural Science Foundation of China under the Contract NO.19632030 19572008,and China Postdoctoral Science Foundation
文摘The obvious shortcoming of the generalized self-consistent method (GSCM) is that the effective shear modulus of composite materials estimated by the method can not be expressed in an explicit form. This is inconvenient in engineering applications. In order to overcome that shortcoming of GSCM, a reformation of GSCM is made and a new micromechanical scheme is suggested in this paper. By means of this new scheme, both the effective bulk and shear moduli of an inclusion-matrix composite material can be obtained and be expressed in simple explicit forms. A comparison with the existing models and the rigorous Hashin-Shtrikman bounds demonstrates that the present scheme is accurate. By a two-step homogenization technique from the present new scheme, the effective moduli of the composite materials with coated spherical inclusions are obtained and can also be expressed in an explicit form. The comparison with the existing theoretical and experimental results shows that the present solutions are satisfactory. Moreover, a quantitative comparison of GSCM and the Mori-Tanaka method (MTM) is made based on a unified scheme.
基金the National Natural Science Foundation of ChinaChina Postdoctoral Science Foundation
文摘The weak point of the generalized self-consistent method (GSCM) isthat its solution for the effective shear moduli involves determiningthe complicated displacement and strain fields in con- stituents.Furthermore, the effective moduli estimated by GSCM cannot beexpressed in an explicit form. Instead of following the procedure ofGSCM, in this paper a generalized self-consistent Mori- Tanaka method(GSCMTM) is developed by means of Hill's interface condition and theassumption that the strain in the inclusion is uniform. A comparisonwith the existing theoretical and experimental results shows that thepresent GSCMTM is sufficiently accurate to predict the effectivemoduli of the coated inclusion-based composite materials.
