Dynamic Effective Properties of Lead-Reinforced Epoxy Resin Composites with Differential Method
In this paper, the quasi-P wave propagation in epoxy/lead composites is studied by the differential method with polarization stress and polarization momentum. The corresponding differential equations are numerically solved by the fourth-order Runge–Kutta method, and the dynamic effective modulus and...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2022/3807351 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553053273718784 |
|---|---|
| author | Haitao Zhu Yongping Wan |
| author_facet | Haitao Zhu Yongping Wan |
| author_sort | Haitao Zhu |
| collection | DOAJ |
| description | In this paper, the quasi-P wave propagation in epoxy/lead composites is studied by the differential method with polarization stress and polarization momentum. The corresponding differential equations are numerically solved by the fourth-order Runge–Kutta method, and the dynamic effective modulus and density are obtained. Correctness of the results obtained by the differential method is verified by comparing with the results obtained by the self-consistent method as well as experiments. Results show that the dynamic effective modulus L1133 and L3333 increase with the increase of aspect ratio δ, whereas L1111 and L1122 decrease with the increase of δ. The phase velocity ratio of the quasi-P wave propagation in the composites tends to 1 when the dimensionless wave number is large, and the dynamic effective density and modulus obtained are not isotropic when δ≠1. It is believed that the differential method can be a choice for solving dynamic effective properties of heterogeneous composites. |
| format | Article |
| id | doaj-art-46289074e6424662af3e59c37575e211 |
| institution | Kabale University |
| issn | 1687-8442 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-46289074e6424662af3e59c37575e2112025-02-03T05:57:09ZengWileyAdvances in Materials Science and Engineering1687-84422022-01-01202210.1155/2022/3807351Dynamic Effective Properties of Lead-Reinforced Epoxy Resin Composites with Differential MethodHaitao Zhu0Yongping Wan1School of Aerospace Engineering and Applied MechanicsSchool of Aerospace Engineering and Applied MechanicsIn this paper, the quasi-P wave propagation in epoxy/lead composites is studied by the differential method with polarization stress and polarization momentum. The corresponding differential equations are numerically solved by the fourth-order Runge–Kutta method, and the dynamic effective modulus and density are obtained. Correctness of the results obtained by the differential method is verified by comparing with the results obtained by the self-consistent method as well as experiments. Results show that the dynamic effective modulus L1133 and L3333 increase with the increase of aspect ratio δ, whereas L1111 and L1122 decrease with the increase of δ. The phase velocity ratio of the quasi-P wave propagation in the composites tends to 1 when the dimensionless wave number is large, and the dynamic effective density and modulus obtained are not isotropic when δ≠1. It is believed that the differential method can be a choice for solving dynamic effective properties of heterogeneous composites.http://dx.doi.org/10.1155/2022/3807351 |
| spellingShingle | Haitao Zhu Yongping Wan Dynamic Effective Properties of Lead-Reinforced Epoxy Resin Composites with Differential Method Advances in Materials Science and Engineering |
| title | Dynamic Effective Properties of Lead-Reinforced Epoxy Resin Composites with Differential Method |
| title_full | Dynamic Effective Properties of Lead-Reinforced Epoxy Resin Composites with Differential Method |
| title_fullStr | Dynamic Effective Properties of Lead-Reinforced Epoxy Resin Composites with Differential Method |
| title_full_unstemmed | Dynamic Effective Properties of Lead-Reinforced Epoxy Resin Composites with Differential Method |
| title_short | Dynamic Effective Properties of Lead-Reinforced Epoxy Resin Composites with Differential Method |
| title_sort | dynamic effective properties of lead reinforced epoxy resin composites with differential method |
| url | http://dx.doi.org/10.1155/2022/3807351 |
| work_keys_str_mv | AT haitaozhu dynamiceffectivepropertiesofleadreinforcedepoxyresincompositeswithdifferentialmethod AT yongpingwan dynamiceffectivepropertiesofleadreinforcedepoxyresincompositeswithdifferentialmethod |