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, a coupled elastoplastic damage model is proposed for semi-brittle materials, which is applied to a specific semibrittle sedimentary rock material, based on which the authors show an important plastic deformation coupled with stress-induced damage corresponding to initiation and growth of microcracks.
214 citations
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TL;DR: In this paper, it was shown that the microcracks are of such size, density, and arrangement that they do not interact and the release of stored energy caused by the formation of one microcrack is calculated as a function of the associated relative displacement across the cell.
Abstract: The paper presents two micromechanics arguments showing that continuum damage caused by microcracking ought to be nonlocal, defined by a spatial integral. Argument I is an analysis of a simplified model in which the microcracks are of such size, density, and arrangement that that they do not interact. The release of stored energy caused by the formation of one microcrack is calculated as a function of the associated relative displacement across the cell, which corresponds to the average strain of the macroscopic continuum. After imposing two homogenizing conditions, it is shown that damage is a nonlocal variable that is a function of the averaged (nonlocal) strain from a certain neighborhood of the given point. Argument II is an analysis of a body with arbitrary interacting cracks. The local damage is proportional to the forces applied on the cracks to replace the stresses before cracking. Crack formation changes the openings of the neighboring cracks, which represents an interaction described by crack in...
214 citations
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TL;DR: In this paper, the effective coefficients of periodic transversely isotropic piezoelectric fiber composites using representative volume element method (unit cell method) were derived for different fiber volume fractions.
214 citations
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TL;DR: In this paper, a generalized Duhamel-Neumann form of Hooke's law is used to develop laminated plate equations which include the effect of expansional strains, such as temperature, absorption by a polymeric matrix material of a swelling agent such as water vapor, and by sudden expansion of absorbed gases in the matrix.
Abstract: A generalized Duhamel-Neumann form of Hooke's law is used to develop laminated plate equations which include the effect of expansional strains. Such strains are induced in composite materials by temperature, absorption by a polymeric matrix material of a swelling agent such as water vapor, and by sudden expansion of absorbed gases in the matrix. Solutions to specific boundary value problems are presented for both symmetric and nonsymmetric laminates. Numerical results indicate that in addition to inducing residual stresses, expansional strains can substantially affect the gross response characteristics of a composite material.
211 citations
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TL;DR: In this paper, the constitutive relation for various phenomena of SMA (superelasticity, rubber-like elasticity, ferroelasticity and elastic anomaly) is studied in detail and compared with the available experimental data.
Abstract: T he constitutive relation for various phenomena of SMA ( superelasticity, rubber-like elasticity, ferroelasticity, elastic anomaly, shape memory effect ) is studied in detail and compared with the available experimental data. It is shown that the micromechanical model developed in Part I can satisfactorily describe the main peculiarities of the macroscopic thermomechanical constitutive behavior in the course of uniaxial mchanical and/or thermal loadings and that the existing phenomenological models are special cases of the proposed theory under proportional loading conditions. Some theoretical predictions and discussions for complex loading paths are also given which are yet subject to experimental verification.
211 citations