@article {7718,
	title = {Modeling of the Pore Shape Effect on the Effective Young\&$\#$39;s Modulus of Lotus-Type Porous Materials by a Numerical Homogenization Technique},
	journal = {Advanced Materials Research},
	volume = {1171},
	year = {2022},
	pages = {73-86},
	abstract = {Lotus-type porous materials (LTPMs) are considered as a new category of engineering materials. They are porous materials characterized by long, straight, unidirectional cylindrical pores, and are obtained via unidirectional solidification from a melt under hydrogen and argon atmospheres. The anisotropic pore morphology of lotus-type materials results in the anisotropy of their mechanical and physical properties. This study aims at investigating the effect of cross-sectional pore shapes on the effective Young{\textquoteright}s modulus (EYM) of LTPMs. The representative volume element-based finite element homogenization method was used to compute the effective bulk and shear moduli. Subsequently, the EYM was deduced from the effective bulk and shear moduli. The numerical results of the circular pores were validated by comparing them with experimental results. Because the results indicated that the EYM is extremely sensitive to the variation in the pore shapes, a formula for estimating the EYM of LTPMs by considering the pore shapes was developed and validated.},
	url = {https://doi.org/10.4028/p-y2cejy},
	author = {A BOURIH and Bourih, K and W KADDOURI and M MASMOUDI and S MADANI}
}
@article {7717,
	title = {A Multi-Scale Homogenization Procedure for the Estimation of Young\&rsquo;s Modulus of Porous Materials by a Multi-Void Shape Model.},
	journal = {Journal  of Composite and Advanced Materials},
	volume = {32},
	number = {4},
	year = {2022},
	pages = {165-172},
	abstract = {Transversal cross-section pores of lotus-type porous materials are generally considered circular; however, they exhibit various pore geometries, which affect their effective properties. The main objective of this work is to develop a generalized model which allows estimating the effective Young{\textquoteright}s modulus of multi-void shape porous microstructures by exploiting a relationship developed to evaluate the effective Young{\textquoteright}s modulus of porous materials with single-void shape. A procedure based on free software is then proposed to allow the application of the proposed generalized model on real lotus-type porous material images to estimate the effective Young{\textquoteright}s modulus. The free tool allows the processing of real porous materials images to obtain multi-void shape microstructures and their pores parameters data. The validation of the generalized model has been established by confronting the obtained results with experimental data taken from literature; an excellent agreement was observed. Therefore, it can be concluded that the proposed procedure associated with the generalized model can be used efficiently for predicting the effective Young{\textquoteright}s modulus of the multi-void porous materials, particularly lotus-type porous materials.},
	url = {https://doi.org/10.18280/rcma.320401},
	author = {M MASMOUDI and W KADDOURI and Bourih, K and A BOURIH and S MADANI}
}
@article {6517,
	title = {Modelling of void shape effect on effective thermal conductivity of lotus-type porous materials},
	journal = {Mechanics of Materials},
	volume = {151},
	year = {2020},
	pages = {103626},
	publisher = {Elsevier},
	abstract = {
	In this paper, a formula for estimating the effective thermal conductivity of lotus-type porous materials (LTPM) combining an analytical formula with a mean-field homogenisation technique is developed and validated. LTPMs are considered multi-phase materials in which each phase is defined by the pore shape. To estimate the effective thermal conductivities of multi-phase LTPMs, a two-step mean-field homogenisation method is implemented and validated. The validation is applied by comparing the results obtained with those of the representative volume element based finite element homogenisation method, which has been taken as a reference. The proposed formula is applied by replacing the first step of the two-step mean field homogenisation method using a formula for estimating the effective thermal conductivity of two-phase lotus-type materials. The good agreement between the results of the proposed formula and the reference results indicates that the proposed formula ensures an accurate estimation of the effective macroscopic thermal conductivities of multi-phase lotus-type porous materials.

},
	isbn = {0167-6636},
	url = {https://www.sciencedirect.com/science/article/abs/pii/S0167663620306657},
	author = {Bourih, K and W KADDOURI and T KANIT and Y DJEBARA and A IMAD}
}
