scholarly journals Generation of 3D representative volume elements for heterogeneous materials: A review

2018 ◽  
Vol 96 ◽  
pp. 322-384 ◽  
Author(s):  
Swantje Bargmann ◽  
Benjamin Klusemann ◽  
Jürgen Markmann ◽  
Jan Eike Schnabel ◽  
Konrad Schneider ◽  
...  
Keyword(s):  
Heterogeneous Materials ◽  
Representative Volume ◽  
Representative Volume Elements

scholarly journals On the application of representative volume elements for steel fiber reinforced high performance concrete ‐ a numerical study

PAMM ◽  
2021 ◽  
Vol 20 (1) ◽  
Author(s):  
Mangesh Pise ◽  
Dominik Brands ◽  
Jörg Schröder ◽  
Gregor Gebuhr ◽  
Steffen Anders
Keyword(s):  
High Performance ◽  
Steel Fiber ◽  
High Performance Concrete ◽  
Numerical Study ◽  
Fiber Reinforced ◽  
Representative Volume ◽  
Representative Volume Elements

scholarly journals Nonlocal multicontinua with representative volume elements. Bridging separable and non-separable scales

2021 ◽  
Vol 377 ◽  
pp. 113687
Author(s):  
Eric T. Chung ◽  
Yalchin Efendiev ◽  
Wing T. Leung ◽  
Maria Vasilyeva
Keyword(s):  
Representative Volume ◽  
Representative Volume Elements

scholarly journals Modeling the Effective Conductive Properties of Polymer Nanocomposites with a Random Arrangement of Graphene Oxide Particles

2021 ◽  
pp. 167-180
Author(s):  
M. A Tashkinov ◽  
A. D Dobrydneva ◽  
V. P Matveenko ◽  
V. V Silberschmidt
Keyword(s):  
Finite Element ◽  
Graphene Oxide ◽  
Composite Materials ◽  
Polymer Matrix ◽  
Matrix Cracking ◽  
Tunneling Effect ◽  
Representative Volume ◽  
Representative Volume Elements ◽  
Oxide Particles ◽  
Conductive Properties

Сomposite materials are widely used in various industrial sectors, for example, in the aviation, marine and automotive industries, civil engineering and others. Methods based on measuring the electrical conductivity of a composite material have been actively developed to detect internal damage in polymer composite materials, such as matrix cracking, delamination, and other types of defects, which make it possible to monitor a composite’s state during its entire service life. Polymers are often used as matrices in composite materials. However, almost always pure polymers are dielectrics. The addition of nanofillers, such as graphene and its derivatives, has been successfully used to create conductive composites based on insulating polymers. The final properties of nanomodified composites can be influenced by many factors, including the type and intrinsic properties of nanoscale objects, their dispersion in the polymer matrix, and interphase interactions. The work deals with modeling of effective electric conductive properties of the representative volume elements of nanoscale composites based on a polymer matrix with graphene oxide particles distributed in it. In particular, methods for evaluating effective, electrically conductive properties have been studied, finite element modelling of representative volumes of polymer matrices with graphene oxide particles have been performed, and the influence of the tunneling effect and the orientation of inclusions on the conductive properties of materials have been investigated. The possibility of using models of resistive strain gauges operating on the principle of the tunneling effect is studied. Based on the finite-element modeling and graph theory tools, we created approaches for estimating changes in the conductive properties of the representative volume elements of a nanomodified matrix subjected to mechanical loading.

From Brownian Motion to Bending Beams

2021 ◽  
pp. 84-98
Author(s):  
Robert W. Batterman
Keyword(s):  
Brownian Motion ◽  
Correlation Function ◽  
Correlation Functions ◽  
Materials Science ◽  
Prima Facie ◽  
Representative Volume ◽  
Representative Volume Elements ◽  
Hydrodynamic Correlation

This chapter argues that the hydrodynamic, correlation function methodology discussed in “fluid” contexts is really the same methodology employed in materials science to determine effective values for quantities like conductivity, elasticity, stiffness. Thus, Einstein’s arguments discussed in the previous chapter have a bearing on what prima facie appear to be completely different problems. The mesoscale approach using representative volume elements and correlation functions to describe the important features of those representative volume elements is presented in some detail.

Micromechanical response of Al–Mg2Si composites using approximated representative volume elements (RVEs) model

2019 ◽  
Vol 6 (11) ◽  
pp. 1165c6 ◽  
Author(s):  
Prosanta Biswas ◽  
Durbadal Mandal ◽  
Manas Kumar Mondal
Keyword(s):  
Representative Volume ◽  
Representative Volume Elements
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