Automatic three-dimensional geometry and mesh generation of periodic representative volume elements for matrix-inclusion composites
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In: Advances in Engineering Software, Vol. 99, 01.09.2016, p. 177-188.
Research output: Journal contributions › Journal articles › Research › peer-review
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TY - JOUR
T1 - Automatic three-dimensional geometry and mesh generation of periodic representative volume elements for matrix-inclusion composites
AU - Schneider, Konrad
AU - Klusemann, Benjamin
AU - Bargmann, Swantje
N1 - Funding Information: Financial support by the German Research Foundation (DFG) via SFB 986 “M3” (project B6) is gratefully acknowledged. Publisher Copyright: © 2016 The Authors
PY - 2016/9/1
Y1 - 2016/9/1
N2 - This paper introduces an efficient method to automatically generate and mesh a periodic three-dimensional microstructure for matrix-inclusion composites. Such models are of major importance in the field of computational micromechanics for homogenization purposes utilizing unit cell models. The main focus of this contribution is on the creation of cubic representative volume elements (RVEs) featuring a periodic geometry and a periodic mesh topology suitable for the application of periodic boundary conditions in the framework of finite element simulations. Our method systematically combines various meshing tools in an extremely efficient and robust algorithm. The RVE generation itself follows a straightforward random sequential absorption approach resulting in a randomized periodic microstructure. Special emphasis is placed on the discretization procedure to maintain a high quality mesh with as few elements as possible, thus, manageable for computer simulations applicable to high volume concentrations, high number of inclusions and complex inclusion geometries. Examples elucidate the ability of the proposed approach to efficiently generate large RVEs with a high number of anisotropic inclusions incorporating extreme aspect ratios but still maintaining a high quality mesh and a low number of elements.
AB - This paper introduces an efficient method to automatically generate and mesh a periodic three-dimensional microstructure for matrix-inclusion composites. Such models are of major importance in the field of computational micromechanics for homogenization purposes utilizing unit cell models. The main focus of this contribution is on the creation of cubic representative volume elements (RVEs) featuring a periodic geometry and a periodic mesh topology suitable for the application of periodic boundary conditions in the framework of finite element simulations. Our method systematically combines various meshing tools in an extremely efficient and robust algorithm. The RVE generation itself follows a straightforward random sequential absorption approach resulting in a randomized periodic microstructure. Special emphasis is placed on the discretization procedure to maintain a high quality mesh with as few elements as possible, thus, manageable for computer simulations applicable to high volume concentrations, high number of inclusions and complex inclusion geometries. Examples elucidate the ability of the proposed approach to efficiently generate large RVEs with a high number of anisotropic inclusions incorporating extreme aspect ratios but still maintaining a high quality mesh and a low number of elements.
KW - Conforming mesh
KW - Homogenization
KW - Matrix-inclusion composite
KW - Meshing strategy
KW - Periodic mesh
KW - Random sequential absorption
KW - Representative volume element
KW - Engineering
UR - http://www.scopus.com/inward/record.url?scp=84978285825&partnerID=8YFLogxK
U2 - 10.1016/j.advengsoft.2016.06.001
DO - 10.1016/j.advengsoft.2016.06.001
M3 - Journal articles
AN - SCOPUS:84978285825
VL - 99
SP - 177
EP - 188
JO - Advances in Engineering Software
JF - Advances in Engineering Software
SN - 0965-9978
ER -