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Schematic illustration of the multiscale computational homogenisation approach considered in this paper.

Journal: Materials

Article Title: Reduced Order Multiscale Simulation of Diffuse Damage in Concrete

doi: 10.3390/ma14143830

Figure Lengend Snippet: Schematic illustration of the multiscale computational homogenisation approach considered in this paper.

Article Snippet: Mesoscale models can be formulated using a variety of discretisation methods, such as the Finite Element Method (FEM) [ , , , , ], the Discrete Element Method (DEM) [ ], and Fast Fourier Transform (FFT)-based homogenisation methods [ , , ].

Techniques: Homogenization

Material parameters for the large quarzitic aggregates and the calibrated parameters for mortar, containing a volume fraction φ q u a r t z = 30.34 % of fine quarzitic aggregates. The mortar matrix is assumed to contain a 8.3% volume fraction of initial microcracks with an initial aspect ratio of 23. In the investigated concrete sample, the material properties of the mortar matrix with a volume fraction of φ q u a r t z = 43.95 % are determined by varying the volume fraction of aggregate accordingly in the Mori–Tanaka based homogenisation procedure, while keeping other parameters unchanged (group Model parameters ). The following sources are used to determine the parameters: [ 1 − 3 ]—Experiment, [ 4 , 5 ] aspect ratio is taken within the range measured in [ <xref ref-type= 69 ], 6 —[ 24 , 70 ]." width="100%" height="100%">

Journal: Materials

Article Title: Reduced Order Multiscale Simulation of Diffuse Damage in Concrete

doi: 10.3390/ma14143830

Figure Lengend Snippet: Material parameters for the large quarzitic aggregates and the calibrated parameters for mortar, containing a volume fraction φ q u a r t z = 30.34 % of fine quarzitic aggregates. The mortar matrix is assumed to contain a 8.3% volume fraction of initial microcracks with an initial aspect ratio of 23. In the investigated concrete sample, the material properties of the mortar matrix with a volume fraction of φ q u a r t z = 43.95 % are determined by varying the volume fraction of aggregate accordingly in the Mori–Tanaka based homogenisation procedure, while keeping other parameters unchanged (group Model parameters ). The following sources are used to determine the parameters: [ 1 − 3 ]—Experiment, [ 4 , 5 ] aspect ratio is taken within the range measured in [ 69 ], 6 —[ 24 , 70 ].

Article Snippet: Mesoscale models can be formulated using a variety of discretisation methods, such as the Finite Element Method (FEM) [ , , , , ], the Discrete Element Method (DEM) [ ], and Fast Fourier Transform (FFT)-based homogenisation methods [ , , ].

Techniques: Homogenization

Schematic illustration of the IDD homogenisation scheme.

Journal: Materials

Article Title: Reduced Order Multiscale Simulation of Diffuse Damage in Concrete

doi: 10.3390/ma14143830

Figure Lengend Snippet: Schematic illustration of the IDD homogenisation scheme.

Article Snippet: Mesoscale models can be formulated using a variety of discretisation methods, such as the Finite Element Method (FEM) [ , , , , ], the Discrete Element Method (DEM) [ ], and Fast Fourier Transform (FFT)-based homogenisation methods [ , , ].

Techniques: Homogenization