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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 interaction integral is extended to functionally graded materials in which the material properties are determined by means of either continuum functions (e.g., exponentially graded materials) or micromechanics models (i.e., self-consistent, Mori-Tanaka, or three-phase model).
Abstract: SUMMARY The interaction integral is a conservation integral that relies on two admissible mechanical states for evaluating mixed-mode stress intensity factors (SIFs). The present paper extends this integral to functionally graded materials in which the material properties are determined by means of either continuum functions (e.g. exponentially graded materials) or micromechanics models (e.g. self-consistent, Mori–Tanaka, or three-phase model). In the latter case, there is no closed-form expression for the material-property variation, and thus several quantities, such as the explicit derivative of the strain energy density, need to be evaluated numerically (this leads to several implications in the numerical implementation). The SIFs are determined using conservation integrals involving known auxiliary solutions. The choice of such auxil
113 citations
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01 Jan 1997
TL;DR: In this article, the authors present seminal papers in micromechanics, up to and including papers written in 1990, arranged by topic, with an introduction to each section written by expert and editor, William Trimmer.
Abstract: Description: Electrical Engineering Micromechanics and MEMS Classic and Seminal Papers to 1990 Micromechanics is a rich, diverse field that draws on many different disciplines and has potential applications in medicine, fields will find uses for micromechanics in the next ten years. Micromechanics and MEMS gives you convenient access to the fundamental papers in this rapidly growing field. Until now, papers written during the earlier stages of this field have been difficult to retrieve. Micromechanics and MEMS presents seminal papers in micromechanics, up to and including papers written in 1990. This volume gives you an historical perspective of the field and insight into where the field is heading. The papers are arranged by topic, with an introduction to each section written by expert and editor, William Trimmer. Topics covered include:
112 citations
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TL;DR: In this paper, the boundary conditions for plain and satin weave composites are derived for 3D analysis of periodic structures, where the smallest region to be modeled and the appropriate boundary conditions are identified.
Abstract: Efficient 3D analysis of periodic structures depends on identifying the smallest region to be modeled and the appropriate boundary conditions. This paper describes systematic procedures for deriving the boundary conditions for general periodic structures. These procedures are then used to derive the boundary conditions for plain and satin weave composites.
112 citations
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TL;DR: In this paper, a micromechanics-based composite model is developed to elucidate and predict the compressive yield strength of nanograined ceramics as the grain size decreases from the coarse-grained to the nano-meter scale.
111 citations
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TL;DR: In this article, a study of the micromechanics of granular materials as affected by the direct shear test scale using the discrete element method (DEM) is presented.
Abstract: This paper presents a study of the micromechanics of granular materials as affected by the direct shear test scale using the discrete element method (DEM). Parametric studies were conducted to investigate the effects of specimen length and height scales (in relation to the particle size) on the bulk material shear strength and shear banding behaviour in the direct shear test. A mesh-free strain calculation method previously developed by the authors was used to capture and visualise the evolution of strain localisation inside the direct shear box. Simulation results show that the maximum shear strength measured at the model boundaries increases with decreasing specimen length scale and increasing specimen height scale. Micromechanics-based analysis indicates that the local and global aspects of fabric change and failure are the major mechanisms responsible for the specimen scale effect. Global failure along the primary shear band prevails when the specimen length scale and length to height aspect ratio are...
111 citations