### Abstract

Original language | English |
---|---|

Pages (from-to) | 59-67 |

Number of pages | 9 |

Journal | Mechanics of Materials |

Volume | 110 |

Early online date | 21 Apr 2017 |

DOIs | |

Publication status | Published - 1 Jul 2017 |

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### Keywords

- Porous materials
- Effective shear modulus
- Porosity
- Homogenization
- Representative volume element (RVE)

### Cite this

*Mechanics of Materials*,

*110*, 59-67. https://doi.org/10.1016/j.mechmat.2017.04.006

**A universal model for predicting the effective shear modulus of two-dimensional porous materials.** / Guo, Zaoyang; Wang, Lei; Chen, Yang; Zheng, Lingli; Yang, Zhenjun; Dong, Leiting.

Research output: Contribution to journal › Article

*Mechanics of Materials*, vol. 110, pp. 59-67. https://doi.org/10.1016/j.mechmat.2017.04.006

}

TY - JOUR

T1 - A universal model for predicting the effective shear modulus of two-dimensional porous materials

AU - Guo, Zaoyang

AU - Wang, Lei

AU - Chen, Yang

AU - Zheng, Lingli

AU - Yang, Zhenjun

AU - Dong, Leiting

PY - 2017/7/1

Y1 - 2017/7/1

N2 - A new method is proposed to predict the effective shear modulus of two-dimensional (2D) porous materials with large porosities, which is called the Large Porosity Model (LPM). The LPM can be used as a complement for the classic Three Phase Model (TPM), which is only valid when the porosity is relatively small. Through bridging the LPM and the classic TPM, a Universal Porosity Model (UPM) is developed. In order to assess the performance of the UPM, a series of representative volume elements (RVEs) of porous materials are constructed, with different volume ratios, shapes, and numbers of voids. By comparing the UPM predictions to the finite element simulation results, it is demonstrated that the UPM gives accurate predictions (relative error always less than 10%) of the shear modulus among the entire range of porosities (from 0% to 100%), for different Poisson ratios of the matrix materials.

AB - A new method is proposed to predict the effective shear modulus of two-dimensional (2D) porous materials with large porosities, which is called the Large Porosity Model (LPM). The LPM can be used as a complement for the classic Three Phase Model (TPM), which is only valid when the porosity is relatively small. Through bridging the LPM and the classic TPM, a Universal Porosity Model (UPM) is developed. In order to assess the performance of the UPM, a series of representative volume elements (RVEs) of porous materials are constructed, with different volume ratios, shapes, and numbers of voids. By comparing the UPM predictions to the finite element simulation results, it is demonstrated that the UPM gives accurate predictions (relative error always less than 10%) of the shear modulus among the entire range of porosities (from 0% to 100%), for different Poisson ratios of the matrix materials.

KW - Porous materials

KW - Effective shear modulus

KW - Porosity

KW - Homogenization

KW - Representative volume element (RVE)

U2 - 10.1016/j.mechmat.2017.04.006

DO - 10.1016/j.mechmat.2017.04.006

M3 - Article

VL - 110

SP - 59

EP - 67

JO - Mechanics of Materials

JF - Mechanics of Materials

SN - 0167-6636

ER -