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2015 | OriginalPaper | Buchkapitel

Methods of Stochastic Mechanics for Characterization of Deformation in Randomly Reinforced Composite Materials

verfasst von : Mikhail A. Tashkinov

Erschienen in: Mechanics of Advanced Materials

Verlag: Springer International Publishing

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Abstract

This chapter reveals certain aspects of theoretical statistical approach to studying mechanical behavior of randomly reinforced composite materials, particularly focusing on microstructural characterization and methods of description of stress and strain fields in components of material. Mechanical properties of microstructural components are defined with conventional phenomenological equations and criteria while the effective properties of composite and characteristics of microscopic deformation fields are computed using the solutions of stochastic boundary value problems (SBVPs). Microstructural description is based on a concept of the representative volume elements (RVE) and is implemented with the correlation functions of the second and higher orders. Statistical moments of microstructural fields are used as the characteristic of deformation and fracture processes and analytically connect the microstructural correlation functions with the SBVP solution. Using the Green’s functions these solutions have been obtained in elastic and elastoplastic formulations. The numerical calculations for a case study of porous composites with different microstructural properties were obtained for various loading conditions. Some milestones of emerging and development of the described methods are also addressed.

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Vorheriges Kapitel Crystalline Deformation in the Small Scale

Nächstes Kapitel Optimization of the Damping Properties of Electro-Viscoelastic Objects with External Electric Circuits

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Titel: Methods of Stochastic Mechanics for Characterization of Deformation in Randomly Reinforced Composite Materials
verfasst von: Mikhail A. Tashkinov
Verlag: Springer International Publishing
Buch: Mechanics of Advanced Materials
Print ISBN: 978-3-319-17117-3

Electronic ISBN: 978-3-319-17118-0

Copyright-Jahr: 2015
DOI: https://doi.org/10.1007/978-3-319-17118-0_3

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