Numerical Simulation of PMMA Impact Based on the J–C Constitutive and Damage Models under Hydrostatic Pressure Loading

Polymethyl methacrylate (PMMA) polymer is widely used in various fields today. In order to reveal the structural impact performance of PMMA materials in underwater engineering thoroughly, this paper firstly proposed a simplified plate model for a spherical shell hull under concentrative impact loadi...

Full description

Bibliographic Details
Main Authors: Qinghai Du, Fengyou Liu, Qi Lei
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/15/8640
_version_ 1797587061808562176
author Qinghai Du
Fengyou Liu
Qi Lei
author_facet Qinghai Du
Fengyou Liu
Qi Lei
author_sort Qinghai Du
collection DOAJ
description Polymethyl methacrylate (PMMA) polymer is widely used in various fields today. In order to reveal the structural impact performance of PMMA materials in underwater engineering thoroughly, this paper firstly proposed a simplified plate model for a spherical shell hull under concentrative impact loading. Then, to simulate the hyper-elastic material properties of PMMA in the impact process, the Johnson–Cook constitutive model and damage failure model were adopted. And the least squares method was used to confirm accurately the J–C constitutive and damage failure model parameters of PMMA through material test data. Moreover, the dynamic process of the steel bullet impacting the PMMA plate structure was analyzed by the finite element software ABAQUS. The calculation results show that the numerical simulation results in this paper have a good convergence, and the residual velocities at different initial velocities and thicknesses of plates are in good agreement with the experimental test data. Therefore, the feasibility and accuracy of the impact analysis of PMMA structures based on J–C constitutive and damage failure models in this paper are verified accordingly. Finally, based on the presented finite element model, the structure response and the variation of residual velocity of the bullet with the PMMA plate thickness was analyzed in depth; that is, the results show that the residual velocity of the bullet has a certain linear relationship with the thickness, even in an underwater environment, and even in an underwater environment will increase both with a thicker structure or a higher pressure.
first_indexed 2024-03-11T00:31:55Z
format Article
id doaj.art-0864bd6acf2d4ae2b3542dd8fa66ff8c
institution Directory Open Access Journal
issn 2076-3417
language English
last_indexed 2024-03-11T00:31:55Z
publishDate 2023-07-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj.art-0864bd6acf2d4ae2b3542dd8fa66ff8c2023-11-18T22:35:34ZengMDPI AGApplied Sciences2076-34172023-07-011315864010.3390/app13158640Numerical Simulation of PMMA Impact Based on the J–C Constitutive and Damage Models under Hydrostatic Pressure LoadingQinghai Du0Fengyou Liu1Qi Lei2School of Engineering, Shanghai Engineering Research Center of Hadal Science and Technology, Shanghai Ocean University, Shanghai 201306, ChinaSchool of Engineering, Shanghai Engineering Research Center of Hadal Science and Technology, Shanghai Ocean University, Shanghai 201306, ChinaSchool of Engineering, Shanghai Engineering Research Center of Hadal Science and Technology, Shanghai Ocean University, Shanghai 201306, ChinaPolymethyl methacrylate (PMMA) polymer is widely used in various fields today. In order to reveal the structural impact performance of PMMA materials in underwater engineering thoroughly, this paper firstly proposed a simplified plate model for a spherical shell hull under concentrative impact loading. Then, to simulate the hyper-elastic material properties of PMMA in the impact process, the Johnson–Cook constitutive model and damage failure model were adopted. And the least squares method was used to confirm accurately the J–C constitutive and damage failure model parameters of PMMA through material test data. Moreover, the dynamic process of the steel bullet impacting the PMMA plate structure was analyzed by the finite element software ABAQUS. The calculation results show that the numerical simulation results in this paper have a good convergence, and the residual velocities at different initial velocities and thicknesses of plates are in good agreement with the experimental test data. Therefore, the feasibility and accuracy of the impact analysis of PMMA structures based on J–C constitutive and damage failure models in this paper are verified accordingly. Finally, based on the presented finite element model, the structure response and the variation of residual velocity of the bullet with the PMMA plate thickness was analyzed in depth; that is, the results show that the residual velocity of the bullet has a certain linear relationship with the thickness, even in an underwater environment, and even in an underwater environment will increase both with a thicker structure or a higher pressure.https://www.mdpi.com/2076-3417/13/15/8640PMMAJ–C constitutive modelimpactloss and damagenumerical simulation
spellingShingle Qinghai Du
Fengyou Liu
Qi Lei
Numerical Simulation of PMMA Impact Based on the J–C Constitutive and Damage Models under Hydrostatic Pressure Loading
Applied Sciences
PMMA
J–C constitutive model
impact
loss and damage
numerical simulation
title Numerical Simulation of PMMA Impact Based on the J–C Constitutive and Damage Models under Hydrostatic Pressure Loading
title_full Numerical Simulation of PMMA Impact Based on the J–C Constitutive and Damage Models under Hydrostatic Pressure Loading
title_fullStr Numerical Simulation of PMMA Impact Based on the J–C Constitutive and Damage Models under Hydrostatic Pressure Loading
title_full_unstemmed Numerical Simulation of PMMA Impact Based on the J–C Constitutive and Damage Models under Hydrostatic Pressure Loading
title_short Numerical Simulation of PMMA Impact Based on the J–C Constitutive and Damage Models under Hydrostatic Pressure Loading
title_sort numerical simulation of pmma impact based on the j c constitutive and damage models under hydrostatic pressure loading
topic PMMA
J–C constitutive model
impact
loss and damage
numerical simulation
url https://www.mdpi.com/2076-3417/13/15/8640
work_keys_str_mv AT qinghaidu numericalsimulationofpmmaimpactbasedonthejcconstitutiveanddamagemodelsunderhydrostaticpressureloading
AT fengyouliu numericalsimulationofpmmaimpactbasedonthejcconstitutiveanddamagemodelsunderhydrostaticpressureloading
AT qilei numericalsimulationofpmmaimpactbasedonthejcconstitutiveanddamagemodelsunderhydrostaticpressureloading