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Micromechanics
About: Micromechanics is a research topic. Over the lifetime, 6000 publications have been published within this topic receiving 162635 citations.
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TL;DR: In this article, a review of the state-of-the-art in asymptotic homogenization of composites is presented, by presenting the variety of existing methods, by pointing out their advantages and shortcomings, and by discussing their applications.
Abstract: The present paper provides details on the new trends in application of asymptotic homogenization techniques to the analysis of composite materials and thin-walled composite structures and their effective properties. The problems under consideration are important from both fundamental and applied points of view. We review a state-of-the-art in asymptotic homogenization of composites by presenting the variety of existing methods, by pointing out their advantages and shortcomings, and by discussing their applications. In addition to the review of existing results, some new original approaches are also introduced. In particular, we analyze a possibility of analytical solution of the unit cell problems obtained as a result of the homogenization procedure. Asymptotic homogenization of 3D thin-walled composite reinforced structures is considered, and the general homogenization model for a composite shell is introduced. In particular, analytical formulas for the effective stiffness moduli of wafer-reinforced shell and sandwich composite shell with a honeycomb filler are presented. We also consider random composites; use of two-point Pade approximants and asymptotically equivalent functions; correlation between conductivity and elastic properties of composites; and strength, damage, and boundary effects in composites. This article is based on a review of 205 references. DOI: 10.1115/1.3090830
223 citations
TL;DR: In this article, the relationship between microstrain heterogeneity and surface roughness in plastically strained polycrystals in terms of the surface and through-thickness microstructure was investigated.
222 citations
TL;DR: In this article, a hybrid micromechanics theory is proposed in view of this correspondence, which leads to a more accurate computation of the effective moduli, and applies to a broader class of microstructural models.
218 citations
TL;DR: In this article, a general three-dimensional micromechanical approach to modeling anisotropic damage of brittle materials such as concrete, rocks, or certain ceramics is presented.
Abstract: A general three-dimensional micromechanical approach to modeling anisotropic damage of brittle materials such as concrete, rocks, or certain ceramics is presented. Damage is analyzed as a direct consequence of microcracks growth. Following a rigorous scale change methodology, the macroscopic free energy of the microcracked medium is built considering either open and closed microcracks. Moreover, the microcracks opening/closure criterion as well as the moduli recovery conditions (unilateral effects) are addressed in stress-based and strain-based formulations. An alternative derivation of the homogenized properties, based on the well-known Eshelby method, is also presented and extended here to closed cracks. From the micromechanical analysis, an energy-based yield condition is formulated and illustrated in various stress subspaces. Assuming that the normality rule applies, we then present the damage evolution law and the rate form of the constitutive model. The main capabilities and advantages of the micromechanical model are illustrated through various examples in which material microstructure evolutions are presented.
216 citations
TL;DR: In this paper, a finite element model of a plain weave graphite/epoxy fabric-reinforced composite was constructed and an incremental iterating finite element algorithm was developed to analyze loading response.
Abstract: A method for describing damage propagation in a woven fabric-reinforced composite material subjected to tension or shear loading is presented. A three-dimensional unit cell description of a plain weave graphite/epoxy fabric-reinforced composite was constructed. From this description, finite element models were generated. An incremental iterating finite element algorithm was developed to analyze loading response. This finite element program included capabilities to model nonlinear constitutive material behavior (anisotropic plasticity), and a scheme to estimate the effects of damage propagation by stiffness reduction. Tension and shear loadings were modeled. Results from the finite element analysis compared favorably with experimental data. Nonlinear shear stress-strain behavior of the fabric composite was shown to be principally caused by damage propagation rather than by plastic deformation of the matrix.
215 citations