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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, the linear thermoelastic and thermophysical behavior of a short fiber reinforced composite material with planar random fiber arrangement is investigated by advanced numerical and analytical micromechanical methods.
Abstract: The linear thermoelastic and thermophysical behavior of a short fiber reinforced composite material with planar random fiber arrangement is investigated by advanced numerical and analytical micromechanical methods. On the one hand, finite element based multi-fiber unit cells are introduced that contain 40-50 short fibers in arrangements approximating 2D random orientation distributions. On the other hand, the same fiber arrangements are investigated by an extended Mori-Tanaka mean field approach that can handle both statistical and discrete descriptions of the fiber orientations. Within the Mori-Tanaka scheme average microfields are extracted for individual fibers, and finite-length cylindrical reinforcements are modeled via averaged dilute concentration tensors that are evaluated numerically by finite element analysis. Homogenization and localization are performed for a metal matrix composite consisting of copper, reinforced by 21 vol% of carbon fibers that closely approximate a planar random arrangement...
82 citations
TL;DR: In this paper, a nonlinear in-plane buckling analysis for fixed shallow functionally graded (FG) graphene reinforced composite arches which are subjected to uniform radial load and temperature field is presented, and the analytical solutions for the limit point and bifurcation buckling loads are obtained.
82 citations
TL;DR: In this paper, an inverse micromechanics approach was used to interpret nanoindentation results to deliver cohesivefrictional strength behavior of the porous clay binder phase in shale.
Abstract: An inverse micromechanics approach allows interpretation of nanoindentation results to deliver cohesivefrictional strength behavior of the porous clay binder phase in shale. A recently developed strength homogenization model, using the Linear Comparison Composite approach, considers porous clay as a granular material with a cohesive-frictional solid phase. This strength homogenization model is employed in a Limit Analysis Solver to study indentation hardness responses and develop scaling relationships for indentation hardness with clay packing density. Using an inverse approach for nanoindentation on a variety of shale materials gives estimates of packing density distributions within each shale and demonstrates that there exists shale-independent scaling relations of the cohesion and of the friction coefficient that vary with clay packing density. It is observed that the friction coefficient, which may be interpreted as a degree of pressure-sensitivity in strength, tends to zero as clay packing density increases to one. In contrast, cohesion reaches its highest value as clay packing density increases to one. The physical origins of these phenomena are discussed, and related to fractal packing of these nanogranular materials. Copyright 2010 John Wiley & Sons, Ltd.
82 citations
TL;DR: In this article, a micromechanics model is developed for predicting the linearly viscoelastic properties of carbon nanotube-reinforced polymer composites.
Abstract: A micromechanics model is developed for predicting the linearly viscoelastic properties of carbon nanotube-reinforced polymer composites. By employing the Correspondence Principle in viscoelasticity, the Mori-Tanaka method is extended to the Carson domain. The inversion of the creep compliances from the Carson (transformed) domain to the time (physical) domain is accomplished numerically by using a recently developed multi-precision algorithm. The new micromechanics model is validated by comparing with existing experimental data. By applying the presently developed model, a parametric study for the creep behavior of carbon nanotube-reinforced polymer composites is conducted, with testing temperature, nanotube aspect ratio, nanotube volume fraction and nanotube orientation as the controlling parameters. For composites having unidirectionally aligned nanotubes, numerical results indicate that the increase of the nanotube aspect ratio significantly enhances their axial creep resistance but has insignificant ...
81 citations
TL;DR: In this paper, the concept of equivalent subcell, which is the smallest region that has equivalent subcells, was introduced for micromechanics analysis of textile composites.
Abstract: General formulas for obtaining boundary conditions for micromechanics analysis of textile composites are developed based on the concept of equivalent subcell, which is the smallest region that has
81 citations