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Continuum Micromechanics Theory and Application to Multiscale Tectonics
The book integrates theory, numerical methods, and practical applications seamlessly. MATLAB and MathCad programs are provided for readers to master...
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Continuum Models via Granular Micromechanics
The utilization of continuum modelling in describing complex material systems is historically widespread because of the computational feasibility of...
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Concurrent material and structure optimization of multiphase hierarchical systems within a continuum micromechanics framework
We present a concurrent material and structure optimization framework for multiphase hierarchical systems that relies on homogenization estimates...
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Advancements and Challenges of Micromechanics-based Homogenization for the Short Fiber Reinforced Composites
In the realm of technologically important short fiber and particulate-reinforced composites, homogenization approaches based on micromechanics are...
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Second Moment of Displacement State and Effective Energy-Based Criteria in Peridynamic Micromechanics of Random Structure Composites
The basic feature of the peridynamics is a continuum description of material behavior as the combined nonlocal force interactions between...
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Estimations of Effective Energy-Based Criteria in Nonlinear Phenomena in Peridynamic Micromechanics of Random Structure Composites
One of the most important features of peridynamic modeling is a continuum description of material behavior as the summation of force interactions...
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Multiscale micromechanics modeling of plant fibers: upscaling of stiffness and elastic limits from cellulose nanofibrils to technical fibers
The mechanical properties of natural fibers, as used to produce sustainable biocomposites, vary significantly—both among different plant species and...
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Transformation Field Analysis and Clustering Discretization Method in Peridynamic Micromechanics of Composites
In contrast to the classical local theories, the peridynamic equation of motion introduced by Silling (J Mech Phys Solids 48:175–209,
2000 ) is free...
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Identification of a geometrically nonlinear micromorphic continuum via granular micromechanics
Describing the emerging macro-scale behavior by accounting for the micro-scale phenomena calls for microstructure-informed continuum models...
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Multiscale Modeling of Elasto-Plasticity in Heterogeneous Geomaterials Based on Continuum Micromechanics
In this paper, we investigate some micromechanical aspects of elasto-plasticity in heterogeneous geomaterials. The aim is to upscale the...
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Geometrically Nonlinear Cosserat Elasticity with Chiral Effects Based upon Granular Micromechanics
In this short contribution, we exemplify how the Cosserat kinematics, introduced into classical continuum mechanics at the turn of the XXth century,...
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A micromechanics-based elasto-plastic model for granular media combined with Cosserat continuum theory
This paper is devoted to the micromechanical model of granular materials based on the Cosserat continuum theory. The generalised stress–strain...
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Generalized Mori-Tanaka Approach in Peridynamic Micromechanics of Multilayered Composites of Random Structure
The basic feature of the peridynamics (PD) is a continuum description of material behavior as the integrated nonlocal force interactions between...
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Micromechanics-based binary-medium constitutive model for frozen soil considering the influence of coarse-grained contents and freeze–thaw cycles
In cold regions, the deformation characteristics of frozen soils with different coarse-grained contents change significantly under the freeze–thaw...
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Studying the effect of design microscale factors on the thermoelastic response of carbon nanotube-reinforced metal nanocomposites using the finite element micromechanics method
Thermoelastic constants seem to be important in designing metal-based composite structures under temperature variations. In the current research, the...
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Combination of mean-field micromechanics and cycle jump technique for cyclic response of PA66/GF composites with viscoelastic–viscoplastic and damage mechanisms
An accelerated micromechanics framework based on the extended Mori–Tanaka transformation field analysis (TFA) and cycle jump technique is proposed to...
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Integral Eshelby’s Formulas for Generalized Continuum and Couple-Field Theories
Classical Eshelby’s formulas are generalized assuming that the stored energy density of the media depends on the arbitrary number of internal...
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Continuum Modelling of Carbon Nanotube Composites: A Review
Carbon nanotubes (CNTs) have been proven to show exceptional mechanical properties such as longitudinal elastic modulus of up to 1TPa and elastic...
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Combined molecular dynamics–micromechanics methods to predict Young's modulus of fullerene-reinforced polymer composites
In this paper, a multiscale method is developed to predict Young's modulus of fullerene-reinforced polymer nanocomposites (FRPNs). Polymethyl...
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Nonclassical Linear Theories of Continuum Mechanics
We present a brief survey of nonclassical linear theories of continuum mechanics. Thus, we give a concise characterization of the Eringen–Edelen...