Topic
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, an analytical micromechanical model for kink-band formation in an unidirectional fiber-reinforced composite is developed based on the equilibrium of an imperfect fibre laterally supported by an elasto-plastic matrix.
104 citations
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TL;DR: In this paper, the phase volume fractions and elastic properties are used in multi-step mean field homogenization (Mori-Tanaka and double inclusion) models to determine the homogenized macroscale elastic modulus of the composite.
104 citations
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TL;DR: In this paper, a micromechanics model for aging basic creep of early-age concrete is proposed, where the authors formulate viscoelastic boundary value problems on two representative volume elements, one related to cement paste and another related to concrete.
Abstract: We propose a micromechanics model for aging basic creep of early-age concrete. Therefore, we formulate viscoelastic boundary value problems on two representative volume elements, one related to cement paste (composed of cement, water, hydrates, and air), and one related to concrete (composed of cement paste and aggregates). Homogenization of the “nonaging” elastic and viscoelastic properties of the material’s contituents involves the transformation of the aforementioned viscoelastic boundary value problems to the Laplace-Carson (LC) domain. There, formally elastic, classical self-consistent and Mori-Tanaka solutions are employed, leading to pointwisely defined LC-transformed tensorial creep and relaxation functions. Subsequently, the latter are back-transformed, by means of the Gaver-Wynn-Rho algorithm, into the time domain. Temporal derivatives of corresponding homogenized creep and relaxation tensors, evaluated for the current maturation state of the material (in terms of current volume fractions of cem...
103 citations
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TL;DR: In this article, two contrasting strategies are used to estimate the overall thermomechanical behavior: (1) the unit cell finite element method (UCFEM) to account for periodic distribution of pores in the SMA matrix, and (2) an averaging micromechanics method based on the incremental formulation of the Mori-Tanaka method, which diminishes the effect of local stress concentration thereby delaying the onset of phase transformation caused by an applied load.
103 citations
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TL;DR: In this article, it was shown that if the flaws are assumed to be distributed along the fiber length according to a spatial Poisson process, then far from the saturation point the resulting fragment lengths must exactly follow a shifted exponential distribution.
Abstract: The fiber fragmentation phenomenon in the single‐filament composite test is currently among the most intensively researched aspects of composite micromechanics. By this method the interfacial shear strength, a physical parameter which reflects the quality of the fiber/matrix bonding, is calculated. In most studies various statistical models for the distribution of fragment lengths have been assumed without any justification other than a good fit to experimental data. Here we argue that if the flaws are assumed to be distributed along the fiber length according to a spatial Poisson process, then far from the saturation point the resulting fragment lengths must exactly follow a shifted exponential distribution. At the saturation limit, the distribution of fragment lengths is still approximately exponential. This is confirmed by single‐filament composite experiments with high strength carbon fibers embedded in epoxy. Cumulative distributions of interdefect spacings at various levels of stress (or strain) are...
103 citations