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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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objects smaller than one tenth of a millimeter [9-10], typically 5 to 20 μm. It has<br />

significant influence for research into the microstructure of bone and highly porous<br />

materials. The software STL model Creator [11] was developed in Matlab 2009b for<br />

faster image processing and analyzing of the micro-CT data. This program loads images<br />

in various formats and can create a 3D model in vectored form. For further processing<br />

in FEM systems it is important to export the data. For this purpose the STL polygonal<br />

net format is used. It is necessary to note that on the micro-level the computational<br />

model obtained from micro-CT adequately respects the shape of such complicated<br />

structure. Micro-CT slices were obtained in resolution 700x800 pixels (a total of 1000<br />

slices with pixel size 15 x 15 µm 2 ).<br />

4.2 FEM model<br />

The computational model was created by a finite element method using the system<br />

ANSYS 12. SOLID187 element was used for meshing; it is a 10-node element with<br />

quadratic displacement behavior. Since the high porous structures are very complicated<br />

in shape, it is important to pay attention to the creation of mesh, see Fig. 2.<br />

Fig. 2. a) FEM model of ceramic foam geometry and b) illustration of mesh<br />

It is necessary to have a very fine and accurate mesh for the analysis of local stresses in<br />

such complex microstructure. In addition, more precise mesh is necessary in the places<br />

of stress concentrators. The time of mesh creation mainly depends on size and object<br />

complication. For example, 5.3 million elements and 7.4 million nodes were used for<br />

sample on Fig. 2.<br />

Very good hardware is necessary to have to creation of such complicated models. A<br />

used computer station to calculations was composed from an Intel® Core i7<br />

Processor, a solid-state drive (SSD) and 24GB RAM. This computer station allowed<br />

creation relatively extensive computational models. Despite the fact, the whole structure<br />

(15 mm) was divided to three parts which each of them contains about 7 million<br />

elements.<br />

The computational models were considered as homogeneous isotropic with Young´s<br />

modulus E = 70 000 MPa and Poisson’s ratio ν = 0.3. On the micro-level this ceramic<br />

foam can be considered as homogeneous and linear isotropic [12]. 1 st and 3 rd principal

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