A new micromechanics method is proposed to investigate the effective properties of saturated porous media with connected pores. This topic is seldom discussed in the literature because it is difficult to describe the connected pores and skeleton using conventional micromechanics methods. A new micromechanics model (i.e., Model I) is suggested to characterize such saturated porous media in which the pores saturated by fluid are taken as the matrix, and the interconnected randomly oriented long fiber (ROLF)-like solid skeleton is taken as the inclusions. The proposed model is verified by numerical simulations; the simulation results indicate that the difference of the elastic constants calculated for media with interconnected pores and for those with dispersed ROLF solid inclusions is small. Thus, the elastic moduli of Model I can be treated as approximate values for porous media with connected pores. Further, a modified Eshelby tensor for spherical inclusions is derived based on the equivalency of the elastic moduli of Model I and a conventional micromechanics model in which spherical fluid inclusions are distributed randomly in a solid matrix. By means of the modified Eshelby tenor, conventional micromechanics methods can be utilized directly to calculate the effective mechanical and thermal properties of saturated porous media with interconnected pores. Some examples are presented to show that the macroscopic elastic moduli predicted by the proposed method are in good agreement with test data found in the literature.

A new micromechanics method is proposed to investigate the effective properties of saturated porous media with connected pores. This topic is seldom discussed in the literature because it is difficult to describe the connected pores and skeleton using conventional micromechanics methods. A new micromechanics model (i.e., Model I) is suggested to characterize such saturated porous media in which the pores saturated by fluid are taken as the matrix, and the interconnected randomly oriented long fiber (ROLF)-like solid skeleton is taken as the inclusions. The proposed model is verified by numerical simulations; the simulation results indicate that the difference of the elastic constants calculated for media with interconnected pores and for those with dispersed ROLF solid inclusions is small. Thus, the elastic moduli of Model I can be treated as approximate values for porous media with connected pores. Further, a modified Eshelby tensor for spherical inclusions is derived based on the equivalency of the elastic moduli of Model I and a conventional micromechanics model in which spherical fluid inclusions are distributed randomly in a solid matrix. By means of the modified Eshelby tenor, conventional micromechanics methods can be utilized directly to calculate the effective mechanical and thermal properties of saturated porous media with interconnected pores. Some examples are presented to show that the macroscopic elastic moduli predicted by the proposed method are in good agreement with test data found in the literature.

Surface/interface effect plays a significant role in the study of the mechanical properties of nano composites. Most previous papers in the literature only considered the surface/interface elasticity, whereas some papers only considered the residual surface/interface stress (surface/interface tension). In this paper, an energy-based surface/interface theory is applied to systematically study the effective thermo-elastic properties of unidirectional fiber-reinforced nanocomposites, in which both the surface/interface elasticity and the residual surface/interface stress are included. The emphasis is particularly placed on the influence of the residual interface stress on the effective thermo-elastic properties of such nanocomposites, since this influence was ignored by many previous authors. Analytical expressions of five effective transversely isotropic elastic constants are derived, in which a modified generalized self consistent method is suggested to obtain an explicit expression of the size-dependent effective transverse shear modulus. Furthermore, with an introduced concept of 'equivalent fiber' (i.e., a fiber together with its interface), the effective thermal expansion coefficients and the effective specific heat at constant strain of the fiber-reinforced nanocomposite are obtained. Finally, numerical examples are illustrated, and the effect of residual interface stress on the effective thermo-elastic properties of the fibrous nanocomposite is discussed. It is shown that the residual interface stress has a significant effect on the overall thermo-elastic properties of the nanocomposites. (C) 2016 Elsevier Ltd. All rights reserved.

Surface/interface effect plays a significant role in the study of the mechanical properties of nano composites. Most previous papers in the literature only considered the surface/interface elasticity, whereas some papers only considered the residual surface/interface stress (surface/interface tension). In this paper, an energy-based surface/interface theory is applied to systematically study the effective thermo-elastic properties of unidirectional fiber-reinforced nanocomposites, in which both the surface/interface elasticity and the residual surface/interface stress are included. The emphasis is particularly placed on the influence of the residual interface stress on the effective thermo-elastic properties of such nanocomposites, since this influence was ignored by many previous authors. Analytical expressions of five effective transversely isotropic elastic constants are derived, in which a modified generalized self consistent method is suggested to obtain an explicit expression of the size-dependent effective transverse shear modulus. Furthermore, with an introduced concept of 'equivalent fiber' (i.e., a fiber together with its interface), the effective thermal expansion coefficients and the effective specific heat at constant strain of the fiber-reinforced nanocomposite are obtained. Finally, numerical examples are illustrated, and the effect of residual interface stress on the effective thermo-elastic properties of the fibrous nanocomposite is discussed. It is shown that the residual interface stress has a significant effect on the overall thermo-elastic properties of the nanocomposites. (C) 2016 Elsevier Ltd. All rights reserved.

In multiphase particulate composites, the deviation and mismatch of the elastic moduli of different particles may significantly affect the overall mechanical performance of the composites. This study investigates the effects of such deviations on the macroscopic properties of multiphase composites via an iterative micromechanics-based method. The elastic properties of the particles are assumed to obey certain statistical distributions. In the proposed iterative method, the composites are divided into multiple two-phase composites and their strain concentration tensors are derived by means of the inclusion matrix-reference medium model, which is a modification of the generalized self-consistent method. Iterative solutions are established that take into account the effects of the variation in the elastic properties of the particles in terms of the effective shear and bulk moduli. The findings show that the proposed iterative method converges quickly and that the results agree well with the experimental data for three-phase composites. In addition, the model indicates that the variation in the elastic properties of the particles does have a significant effect on the effective moduli of the composites. (C) 2015 American Society of Civil Engineers.

In multiphase particulate composites, the deviation and mismatch of the elastic moduli of different particles may significantly affect the overall mechanical performance of the composites. This study investigates the effects of such deviations on the macroscopic properties of multiphase composites via an iterative micromechanics-based method. The elastic properties of the particles are assumed to obey certain statistical distributions. In the proposed iterative method, the composites are divided into multiple two-phase composites and their strain concentration tensors are derived by means of the inclusion matrix-reference medium model, which is a modification of the generalized self-consistent method. Iterative solutions are established that take into account the effects of the variation in the elastic properties of the particles in terms of the effective shear and bulk moduli. The findings show that the proposed iterative method converges quickly and that the results agree well with the experimental data for three-phase composites. In addition, the model indicates that the variation in the elastic properties of the particles does have a significant effect on the effective moduli of the composites. (C) 2015 American Society of Civil Engineers.

本文将黄筑平等人提出的界面能理论应用于单向纤维增强的复合材料有效性质的计算中,给出了横观各向同性复合材料在考虑残余界面应力影响之后的五个独立的有效弹性参数以及有效热膨胀系数和有效比热。首先将单根纤维嵌于无限大基体中,利用不同的加载模式,求出了考虑界面影响的"等效纤维"的热力学性质。将传统细观力学模型中的纤维夹杂替换为"等效纤维",采用戴兰宏等提出的基于广义自洽模型的方法推导了有效横观剪切模量,其余四个有效弹性参数则通过复合柱模型得到。最后,通过两个联系有效热学性质与有效力学性质的方程,得到了有效热膨胀系数和有效比热。与其它考虑界面的文献不同,本文用界面能理论给出的预测结果将残余界面应力的影响也考虑了进来。

研究了含连通开孔饱和孔隙介质的有效力学参数,包括排水弹性模量、Biot张量和Biot系数。首先,采用以充满流体的连通孔隙为基体,取向随机的长纤维形固体骨架为夹杂的细观力学模型来表征饱和孔隙介质。通过令取向随机长纤维增强与球形颗粒增强复合材料的有效弹性模量相等,将取向随机的长纤维形夹杂等效为球形夹杂,并得到了相应的Eshelby张量。然后,利用排水时孔隙压力为常数的条件,结合Mori-Tanaka方法及修正的Eshelby张量,建立了流体体积模量的表达式,进而求出了饱和孔隙介质的有效排水力学参数。最后,数值算例表明本文预测结果与实验数据相符较好。

The stress and the debonding of the interface in coating layers structure due to thermal loading are investigated by using boundary element methods(BEM). The nearly-singular integrals that arise in the boundary integral equation(BIE) for such thin layered structures cannot be accurately evaluated us...

The debonding of particle/matrix interfaces has an important effect on the behavior of composite materials. During last decades, great efforts have been made to simulate the behavior of the interface. Boundary element method, as an alternative effective numerical method, has great advantages in simu...

The interface energy theory developed by Huang et al. is further extended to incorporate the effect of the residual interface stresses on the effective specific heats of multiphase thermoelastic nanocomposites. First, a micromechanics-based method is employed to derive the expressions of the effective specific heats at constant-strain and constant-stress of the composites. Second, in order to take into account the influence of the interface stresses on the overall properties of the nanocomposites, a thermoelastic interface constitutive relation expressed in terms of the first Piola-Kirchhoff interface stresses and the Lagrangian description of the generalized Young-Laplace equations are presented. Finally, by means of the Helmholtz free energy of the "equivalent inclusion" (the inclusion together with its interface), analytical expressions of the size-dependent effective specific heats of the nanocomposites are obtained. The model is illustrated by an example of a "three-phase thermoelastic composite" showing that the overall properties of the nanocomposites are influenced by the "residual interface stresses," which was sometimes ignored in the literature.

The interface energy theory developed by Huang et al. is further extended to incorporate the effect of the residual interface stresses on the effective specific heats of multiphase thermoelastic nanocomposites. First, a micromechanics-based method is employed to derive the expressions of the effective specific heats at constant-strain and constant-stress of the composites. Second, in order to take into account the influence of the interface stresses on the overall properties of the nanocomposites, a thermoelastic interface constitutive relation expressed in terms of the first Piola-Kirchhoff interface stresses and the Lagrangian description of the generalized Young-Laplace equations are presented. Finally, by means of the Helmholtz free energy of the "equivalent inclusion" (the inclusion together with its interface), analytical expressions of the size-dependent effective specific heats of the nanocomposites are obtained. The model is illustrated by an example of a "three-phase thermoelastic composite" showing that the overall properties of the nanocomposites are influenced by the "residual interface stresses," which was sometimes ignored in the literature.

基于细观力学复合球模型研究了含非均匀界面相球形颗粒填充复合材料的有效比热和其他热弹性性质,讨论了界面相性质沿径向的分布对有效性质的影响。首先,将不均匀界面相沿径向离散为多个同心球壳,假设每个球壳内材料性质是均匀的,不同球壳内的材料性质沿径向满足一定的分布。基于上述离散模型,利用含界面相的复合球模型,推导了复合材料的有效比热及有效体积模量、有效热膨胀系数的数值求解表达式。预测的有效热膨胀系数与实验结果吻合良好。另外,结果表明,界面相弹性模量和热膨胀系数的径向分布均对有效比热有较大的影响;而有效热膨胀系数虽然与界面相的模量和热膨胀系数都有关,但只有界面相热膨胀系数的径向分布对其影响较大。

提出了一种新的细观模型用以反映含连通开孔的饱和孔隙介质的结构特性。将流体作为基体,以取向随机分布的长柱形固体作为等效夹杂,利用Mori-Tanaka方法求解了饱和孔隙介质在排水和不排水状态时的有效弹性模量。该模型预测枫丹白露砂岩等岩土类饱和孔隙介质的有效弹性性质与实验相符很好。

本文用边界元方法求解颗粒填充复合材料的变形和界面分离问题,采用多子域法实现颗粒和基体之间的界面连续和分离条件,并采用主从自由度法(Master-Slave Elimination)[1]求解了界面从完美结合到分离的过程。算例表明,边界元法在此类问题中具有精度高和容易实施的优势。

A micromechanics-based elastoplastic constitutive model for porous materials is proposed. With an assumption of modified three-dimensional Ramberg-Osgood equation for the compressible matrix material, the variational principle based on a linear comparison composite is applied to study the effective mechanical properties of the porous materials. Analytical expressions of elastoplastic constitutive relations are derived by means of micromechanics principles and homogenization procedures. It is demonstrated that the derived expressions do not involve any additional material constants to be fitted with experimental data. The model can be useful in the prediction of mechanical properties of elastoplastic porous solids.