Strain Rate Sensitivity and Constitutive Law of Closed-Cell PVC Foams under Shock

The mechanisms of the strain rate dependence of closed-cell PVC foams under shock were numerically studied based on a cell-based model combined with the Coupled Eulerian–Lagrangian (CEL) method in this paper. The strain rate effect of the base material and the entrapped gas effect were focused. The...

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Main Authors: Bin Xue, Yong Zhou
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/16/14/4995
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author Bin Xue
Yong Zhou
author_facet Bin Xue
Yong Zhou
author_sort Bin Xue
collection DOAJ
description The mechanisms of the strain rate dependence of closed-cell PVC foams under shock were numerically studied based on a cell-based model combined with the Coupled Eulerian–Lagrangian (CEL) method in this paper. The strain rate effect of the base material and the entrapped gas effect were focused. The results show that the strain rate effect of the base material has a significant influence on the stress magnitude in the regions before and after the shock front, and the entrapped gas mainly affects the velocity field. Both the strain rate effect of the base material and the entrapped gas have a notable influence on the strain distribution. Taking PVC foam with a relative density of 0.07 as an example, the strain rate effect of the base material will increase the impact stress by 45% and reduce the impact strain by 0.04. The entrapped gas will reduce the impact strain by 0.18, and its effect on the impact stress can be ignored. Finally, two constitutive laws considering the strain rate effect and entrapped gas effect were proposed and compared for the PVC foam under shock with one based on the Hugoniot relationship and the other based on the D-RPH model.
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spelling doaj.art-c91724bf92b94cf7acaac63e79b9fb792023-11-18T20:16:19ZengMDPI AGMaterials1996-19442023-07-011614499510.3390/ma16144995Strain Rate Sensitivity and Constitutive Law of Closed-Cell PVC Foams under ShockBin Xue0Yong Zhou1College of Civil Engineering, Tongji University, Shanghai 200092, ChinaCollege of Civil Engineering, Tongji University, Shanghai 200092, ChinaThe mechanisms of the strain rate dependence of closed-cell PVC foams under shock were numerically studied based on a cell-based model combined with the Coupled Eulerian–Lagrangian (CEL) method in this paper. The strain rate effect of the base material and the entrapped gas effect were focused. The results show that the strain rate effect of the base material has a significant influence on the stress magnitude in the regions before and after the shock front, and the entrapped gas mainly affects the velocity field. Both the strain rate effect of the base material and the entrapped gas have a notable influence on the strain distribution. Taking PVC foam with a relative density of 0.07 as an example, the strain rate effect of the base material will increase the impact stress by 45% and reduce the impact strain by 0.04. The entrapped gas will reduce the impact strain by 0.18, and its effect on the impact stress can be ignored. Finally, two constitutive laws considering the strain rate effect and entrapped gas effect were proposed and compared for the PVC foam under shock with one based on the Hugoniot relationship and the other based on the D-RPH model.https://www.mdpi.com/1996-1944/16/14/4995close-cell PVC foamentrapped gasshockFEAinertial effect
spellingShingle Bin Xue
Yong Zhou
Strain Rate Sensitivity and Constitutive Law of Closed-Cell PVC Foams under Shock
Materials
close-cell PVC foam
entrapped gas
shock
FEA
inertial effect
title Strain Rate Sensitivity and Constitutive Law of Closed-Cell PVC Foams under Shock
title_full Strain Rate Sensitivity and Constitutive Law of Closed-Cell PVC Foams under Shock
title_fullStr Strain Rate Sensitivity and Constitutive Law of Closed-Cell PVC Foams under Shock
title_full_unstemmed Strain Rate Sensitivity and Constitutive Law of Closed-Cell PVC Foams under Shock
title_short Strain Rate Sensitivity and Constitutive Law of Closed-Cell PVC Foams under Shock
title_sort strain rate sensitivity and constitutive law of closed cell pvc foams under shock
topic close-cell PVC foam
entrapped gas
shock
FEA
inertial effect
url https://www.mdpi.com/1996-1944/16/14/4995
work_keys_str_mv AT binxue strainratesensitivityandconstitutivelawofclosedcellpvcfoamsundershock
AT yongzhou strainratesensitivityandconstitutivelawofclosedcellpvcfoamsundershock