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buryachenko v local nonlocal micromechanics materials 2022

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Textbook in PDF format This book presents the micromechanics of random structure heterogeneous materials, a multidisciplinary research area that has experienced a revolutionary renascence at the overlap of various branches of materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. It demonstrates intriguing successes of unified rigorous theoretical methods of applied mathematics and statistical physics in material science of microheterogeneous media. The prediction of the behaviour of heterogeneous materials by the use of properties of constituents and their microstructure is a central problem of micromechanics. This book is the first in micromechanics where a successful effort of systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature is attempted. The uniqueness of the book lies in its development and expressive representation of statistical methods quantitatively describing random structures which are at most adopted for the forthcoming evaluation of a wide variety of macroscopic transport, electromagnetic, strength, and elastoplastic properties of heterogeneous materials. Introduction Foundations of Solid Mechanics Green’s Functions, Eshelby, and Related Tensors Multiscale Analysis of the Multiple Interacting Inclusion Problem: Finite Number of Interacting Inclusions Statistical Description of Composite Materials Effective Properties and Energy Methods in Thermoelasticity and Thermoelectroelasticity of Composites General Integral Equations of Micromechanics of Composite Materials Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Composites Basic Representations of New Background of Analytical Micromechanics Inhomogeneity of the First and Second Statistical Moments of Stresses Inside the Heterogeneities of CMs Interface Integral Technique in Thermoelasticity of Random Structure Matrix CMs Nonlinear Problems in Micromechanics of CMs Nonlocal Effects in Micromechanics of Locally Elastic CMs Micromechanics of Strongly Nonlocal Strain-Type and Weakly Nonlocal CMs Subsequent Generalizations of Theory and Related Problems Bond-Based Peridynamics Background of Peridynamic Micromechanics Peridynamic Micromechanics of Random Structure Composites Computational Homogenization in Linear Peridynamic Micromechanics of Periodic Structure CMs Conclusion

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Buryachenko V. Local and Nonlocal Micromechanics..Materials 2022.pdf 17.9 MB

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buryachenko v local nonlocal micromechanics materials 2022