TY - JOUR

T1 - Generation of 3D representative volume elements for heterogeneous materials

T2 - A review

AU - Bargmann, Swantje

AU - Klusemann, Benjamin

AU - Schneider, Konrad

AU - Soyarslan, C.

AU - Markmann, Jürgen

AU - Schnabel, Jan Eike

AU - Wilmers, Jana

N1 - This work benefited from many fruitful discussions with co-workers and colleagues which is gratefully acknowledged. We gratefully acknowledge financial support from the German Research Foundation (DFG) via SFB 986 “M3”, projects A5, B6, and B8.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - This work reviews state of the art representative volume element (RVE) generation techniques for heterogeneous materials. To this end, we present a systematic classification considering a wide range of heterogeneous materials of engineering interest. Here, we divide heterogeneous solids into porous and non-porous media, with 0 < void volume fraction < 1 and void volume fraction = 0, respectively. Further subdivisions are realized based on various morphological features. The corresponding generation methods are classified into three categories: (i) experimental methods targeting reconstruction through experimental characterization of the microstructure, (ii) physics based methods targeting simulation of the physical process(es) responsible for the microstructure formation and evolution, and (iii) geometrical methods concentrating solely on mimicking the morphology (ignoring the physical basis of the microstructure formation process). These comprise of various mathematical tools such as digital image correlation, tessellation, random field generation, and differential equation solvers. For completeness, relevant up-to-date software tools, used at various stages of RVE generation – either commercial or open-source – are summarized. Considered methods are reviewed based on their efficiency and predictive performance with respect to geometrical and topological properties of the microstructures.

AB - This work reviews state of the art representative volume element (RVE) generation techniques for heterogeneous materials. To this end, we present a systematic classification considering a wide range of heterogeneous materials of engineering interest. Here, we divide heterogeneous solids into porous and non-porous media, with 0 < void volume fraction < 1 and void volume fraction = 0, respectively. Further subdivisions are realized based on various morphological features. The corresponding generation methods are classified into three categories: (i) experimental methods targeting reconstruction through experimental characterization of the microstructure, (ii) physics based methods targeting simulation of the physical process(es) responsible for the microstructure formation and evolution, and (iii) geometrical methods concentrating solely on mimicking the morphology (ignoring the physical basis of the microstructure formation process). These comprise of various mathematical tools such as digital image correlation, tessellation, random field generation, and differential equation solvers. For completeness, relevant up-to-date software tools, used at various stages of RVE generation – either commercial or open-source – are summarized. Considered methods are reviewed based on their efficiency and predictive performance with respect to geometrical and topological properties of the microstructures.

KW - Engineering

KW - Representative volume element

KW - RVE generation

KW - Microstructure

KW - Polycrystal

KW - Matrix-incluion composite

KW - Nanocomposite

KW - Metamaterial

KW - Porous media

KW - Lamellar

KW - Fiber reinforced composite

KW - Nanopous metal

KW - open cell structure

KW - closed cell structure

KW - aggregate

KW - agglomerate

UR - http://www.scopus.com/inward/record.url?scp=85045261330&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/bb62be01-eb26-3519-b99a-db929ffd2f98/

U2 - 10.1016/j.pmatsci.2018.02.003

DO - 10.1016/j.pmatsci.2018.02.003

M3 - Scientific review articles

VL - 96

SP - 322

EP - 384

JO - Progress in Materials Science

JF - Progress in Materials Science

SN - 0079-6425

ER -