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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 paper, the authors used the Eshelby tensors and stress concentration tensors for a spherical inhomogeneity with a graded shell embedded in an alien infinite matrix and formulated the generalized self-consistent prediction of the effective moduli of composites containing spherical particles within the framework of the equivalent inclusion method.
Abstract: This paper first presents the Eshelby tensors and stress concentration tensors for a spherical inhomogeneity with a graded shell embedded in an alien infinite matrix. The solution is then specialized to inhomogeneous inclusions in finite spherical domains with fixed displacement or traction-free boundary conditions. The Eshelby tensors in the infinite and finite domains and the stress concentration tensors are especially useful for solving many problems in mechanics and materials science. This is demonstrated on two examples. In the first example, the strain distributions in core–shell nanoparticles with eigenstrains induced by lattice mismatches are calculated using the Eshelby tensors in the finite domains. In the second example, the Eshelby and stress concentration tensors in the three-phase configuration are used to formulate the generalized self-consistent prediction of the effective moduli of composites containing spherical particles within the framework of the equivalent inclusion method. The advantage of this micromechanical scheme is that, whilst its predictions are almost identical to the classical generalized self-consistent method and the third-order approximation, the expressions for the effective moduli have simple closed forms.
50 citations
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TL;DR: In this paper, the authors developed dilute, self-consistent (SC), Mori-Tanaka (MT) and differential micromechanics methods for micro-crack- weakened thermopiezoelectric solids.
Abstract: Dilute, Self-Consistent (SC), Mori-Tanaka (MT) and differential micromechanics methods are developed for microcrack- weakened thermopiezoelectric solids. These methods are capable of determination of effective properties such as the conductivity, electroelastic moduli, thermal expansion and pyroelectric coefficients. The above material constants affected by the microcracks are derived by way of Stroh's formulation and some recently developed explicit solutions of a crack in an infinite piezoelectric solid subjected to remote thermal, electrical and elastic loads. In common with the corresponding uncoupled thermal, electric and elastical behavior, the dilute and Mori-Tanaka techniques give explicit estimates of the effective thermoelectroelastic moduli. The SC and differential schemes, however, give only implicit estimates, with nonlinear algebraic matrix equations, of the effective thermoelectroelastic moduli. Numerical results are given for a particular cracked material to examine the behavior of each of the four micromechanics models.
50 citations
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TL;DR: In this article, the in-plane elastomer deformation is monitored during the incipient sliding regime, i.e., the transition between static and sliding contact, and an annular slip region, in coexistence with a central stick region, is found to progressively invade the contact.
Abstract: Digital Image Correlation is used to study the micromechanics of a multi-contact interface formed between a rough elastomer and a smooth glass surface. The in-plane elastomer deformation is monitored during the incipient sliding regime, i.e. the transition between static and sliding contact. As the shear load is increased, an annular slip region, in coexistence with a central stick region, is found to progressively invade the contact. From the interfacial displacement field, the tangential stress field can be further computed using a numerical inversion procedure. These local mechanical measurements are found to be correctly captured by Cattaneo and Mindlin (CM)'s model. However, close comparison reveals significant discrepancies in both the displacement and stress fields that reflect the oversimplifying hypothesis underlying CM's scenario. In particular, our optical measurements allow us to exhibit an elasto-plastic-like friction constitutive equation that differs from the rigid-plastic behavior assumed in CM's model. This local constitutive law, which involves a roughness-related length scale, is consistent with the model of Bureau et al. (Proc. R. Soc. London, Ser. A 459, 2787 (2003)) derived for homogeneously loaded macroscopic multi-contact interfaces, thus extending its validity to mesoscopic scales.
50 citations
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TL;DR: In this article, an incremental damage model of particulate-reinforced composites based on the Mori-Tanaka's mean field concept has been extended to consider the particle size effects by using the Nan-Clarke's simple method.
Abstract: This paper deals with a constitutive model of particulate-reinforced composites which can describe the evolution of debonding damage, matrix plasticity and particle size effects on deformation and damage. An incremental damage model of particulate-reinforced composites based on the Mori–Tanaka’s mean field concept has been extended to consider the particle size effects by using the Nan–Clarke’s simple method. The particle size effect on deformation is realized by introducing dislocation plasticity for stress–strain relation of in situ matrix in composites, and the particle size effect on damage is described by a critical energy criterion for particle–matrix interfacial debonding. For composites containing particles of various sizes, the effects of particle size distribution is incorporated into the model. Influence of debonding damage, particle size and particle volume fraction on overall stress–strain response of composites is discussed based on numerical results.
50 citations
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TL;DR: In this article, a micromechanical approach was proposed to predict damage mechanisms and their interactions in glass fibers/polypropylene thermoplastic composites, where a representative volume element (RVE) of such materials was rigorously determined using a geometrical two-point probability function and the eigenvalue stabilization of homogenized elastic tensor obtained by Hill-Mandel kinematic homogenization.
50 citations