Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case
The paper describes an algorithm for numerical estimation of effective mechanical properties in two-dimensional case, considering finite strains. The algorithm is based on consecutive application of different boundary conditions to representative surface elements (RSEs) in terms of displacements, so...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/9010576 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556212212727808 |
|---|---|
| author | Vladimir Levin Ignatiy Vdovichenko Anatoly Vershinin Maksim Yakovlev Konstantin Zingerman |
| author_facet | Vladimir Levin Ignatiy Vdovichenko Anatoly Vershinin Maksim Yakovlev Konstantin Zingerman |
| author_sort | Vladimir Levin |
| collection | DOAJ |
| description | The paper describes an algorithm for numerical estimation of effective mechanical properties in two-dimensional case, considering finite strains. The algorithm is based on consecutive application of different boundary conditions to representative surface elements (RSEs) in terms of displacements, solution of elastic boundary value problem for each case, and averaging the stress field obtained. Effective properties are estimated as a quadratic dependence of the second Piola-Kirchhoff stress tensor upon the Green strain tensor. The results of numerical estimation of effective mechanical properties of plexiglas, reinforced with steel wire, are presented at finite strains. Numerical calculations were performed with the help of CAE Fidesys using the finite element method. The dependence of the effective properties of reinforced plexiglas upon the concentration of wires and the shape of wire cross section is investigated. In particular, it was found that the aspect ratio of reinforcing wire cross section has the most significant impact on effective moduli characterizing the material properties in the direction of larger side of the cross section. The obtained results allow one to estimate the influence of nonlinear effects upon the mechanical properties of the composite. |
| format | Article |
| id | doaj-art-affab3228ace4f71a78abb35f1aa1417 |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-affab3228ace4f71a78abb35f1aa14172025-02-03T05:45:59ZengWileyModelling and Simulation in Engineering1687-55911687-56052016-01-01201610.1155/2016/90105769010576Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional CaseVladimir Levin0Ignatiy Vdovichenko1Anatoly Vershinin2Maksim Yakovlev3Konstantin Zingerman4Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, GSP-1, 1 Leninskiye Gory, Main Building, Moscow 119991, RussiaFaculty of Mechanics and Mathematics, Lomonosov Moscow State University, GSP-1, 1 Leninskiye Gory, Main Building, Moscow 119991, RussiaFaculty of Mechanics and Mathematics, Lomonosov Moscow State University, GSP-1, 1 Leninskiye Gory, Main Building, Moscow 119991, RussiaFidesys LLC, Office 402, 1 Building 77, MSU Science Park, Leninskie Gory, Moscow 119234, RussiaTver State University, 33 Zhelyabov Street, Tver 170100, RussiaThe paper describes an algorithm for numerical estimation of effective mechanical properties in two-dimensional case, considering finite strains. The algorithm is based on consecutive application of different boundary conditions to representative surface elements (RSEs) in terms of displacements, solution of elastic boundary value problem for each case, and averaging the stress field obtained. Effective properties are estimated as a quadratic dependence of the second Piola-Kirchhoff stress tensor upon the Green strain tensor. The results of numerical estimation of effective mechanical properties of plexiglas, reinforced with steel wire, are presented at finite strains. Numerical calculations were performed with the help of CAE Fidesys using the finite element method. The dependence of the effective properties of reinforced plexiglas upon the concentration of wires and the shape of wire cross section is investigated. In particular, it was found that the aspect ratio of reinforcing wire cross section has the most significant impact on effective moduli characterizing the material properties in the direction of larger side of the cross section. The obtained results allow one to estimate the influence of nonlinear effects upon the mechanical properties of the composite.http://dx.doi.org/10.1155/2016/9010576 |
| spellingShingle | Vladimir Levin Ignatiy Vdovichenko Anatoly Vershinin Maksim Yakovlev Konstantin Zingerman Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case Modelling and Simulation in Engineering |
| title | Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case |
| title_full | Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case |
| title_fullStr | Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case |
| title_full_unstemmed | Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case |
| title_short | Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case |
| title_sort | numerical estimation of effective mechanical properties for reinforced plexiglas in the two dimensional case |
| url | http://dx.doi.org/10.1155/2016/9010576 |
| work_keys_str_mv | AT vladimirlevin numericalestimationofeffectivemechanicalpropertiesforreinforcedplexiglasinthetwodimensionalcase AT ignatiyvdovichenko numericalestimationofeffectivemechanicalpropertiesforreinforcedplexiglasinthetwodimensionalcase AT anatolyvershinin numericalestimationofeffectivemechanicalpropertiesforreinforcedplexiglasinthetwodimensionalcase AT maksimyakovlev numericalestimationofeffectivemechanicalpropertiesforreinforcedplexiglasinthetwodimensionalcase AT konstantinzingerman numericalestimationofeffectivemechanicalpropertiesforreinforcedplexiglasinthetwodimensionalcase |