Evaluation of the stress-strain state of a one-dimensional heterogeneous porous structure

Gerasimov, Oleg V.; Shigapova, F; Konoplev, Yu; Sachenkov, Oskar

doi:10.1088/1757-899x/158/1/012036

Cited by 3 publications

(3 citation statements)

References 8 publications

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“…In this case, the fabric tensor can be calculated as the square root of the inverse approximation matrix. Usually the quadratic form [19,27,29] is used to approximate the MIL:…”

Section: Methodsmentioning

confidence: 99%

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Automatic processing and analysis of the structural properties of bone tissue

et al. 2020

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The volumetric distribution of bone tissue can be analysed in terms of orthotropic medium. In this case, it is important to define the orthotropic directions. Nowadays, computed tomography methods allow getting such information. The method for automation such analysis is presented. Firstly, the threshold of binarization should be calculated. Then the sample should be meshed and each element should be binarized. After that fabric tensor, eigenvalues, eigenvectors and fractional anisotropy can be calculated for each element. Statistical methods were used to analyse the field of the obtained data. Described methods were used on a bone sample. It was shown that for a sample the fabric tensor is constant and the fractional anisotropy is close to zero. That’s means that the medium in the sample was isotropic.

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“…In this case, the fabric tensor can be calculated as the square root of the inverse approximation matrix. Usually the quadratic form [19,27,29] is used to approximate the MIL:…”

Section: Methodsmentioning

confidence: 99%

“…The actual task in these problems is the automation of such a calculation. The obtained data can be useful in various biomechanical calculations, such as determination of bone defects before [22][23][24][25] and after [26][27][28] surgery.…”

Section: Introductionmentioning

confidence: 99%

Automatic processing and analysis of the structural properties of bone tissue

et al. 2020

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“…It was shown by mathematical models that this relation exist [11][12][13]. Parametric model which connects mechanical parameters and structural parameters in terms of fabric tensor was built (we use two parameters: λ -ellipticity and α -direction).…”

Section: Methodsmentioning

confidence: 99%

Experimental study of evaluation of mechanical parameters of heterogeneous porous structure

Gerasimov

Koroleva

Sachenkov

2017

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. The paper deals with the problem of determining the mechanical macroparameters of the porous material in case of knowing the information about it's structure. Fabric tensor and porosity was used to describe structure of the material. Experimental study presented. In research two-component liquid polyurethane plastics of cold curing Lasilcast (Lc-12) was used. Then samples was scanned on computer tomography. Resulting data was analyzed. Regular subvolume was cut out after analyses. Then mechanical tests was performed. As a result we get information about fabric tensor, porosity, Young's modulus and Poisson ratio of the sample. In the abstract presented results for some samples. Taking into account the law of porosity variation, we considered the problem of evaluating the mechanical macro parameters depending on the nature of the porous structure. To evaluate the macroparameters, we built the dependence of the Young's modules and Poisson ratio of the material on the rotation angle α and the pore ellipticity parameter λ. The sensitivity of the deformations to the elastic constants was also estimated.

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