Parameter determination of hereditary models of deformation of composite materials based on identification method

Kayumov, R. A.; Muhamedova, I Z; Tazyukov, B. F.; Shakirzjanov, F. R.

doi:10.1088/1742-6596/973/1/012006

Cited by 7 publications

(6 citation statements)

References 4 publications

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“…Uniaxial and shear loads in three directions were implemented. To clarify the mechanical properties, additionally combined (uniaxial with shear) loads were implemented [16,26,34,35]. The parameters were investigated in the interval (0; 1).…”

Section: Basic Cellmentioning

confidence: 99%

Structural Design Method for Constructions: Simulation, Manufacturing and Experiment

et al. 2021

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The development of additive manufacturing technology leads to new concepts for design implants and prostheses. The necessity of such approaches is fueled by patient-oriented medicine. Such a concept involves a new way of understanding material and includes complex structural geometry, lattice constructions, and metamaterials. This leads to new design concepts. In the article, the structural design method is presented. The general approach is based on the separation of the micro- and macro-mechanical parameters. For this purpose, the investigated region as a complex of the basic cells was considered. Each basic cell can be described by a parameters vector. An initializing vector was introduced to control the changes in the parameters vector. Changing the parameters vector according to the stress-strain state and the initializing vector leads to changes in the basic cells and consequently to changes in the microarchitecture. A medium with a spheroidal pore was considered as a basic cell. Porosity and ellipticity were used for the parameters vector. The initializing vector was initialized and depended on maximum von Mises stress. A sample was designed according to the proposed method. Then, solid and structurally designed samples were produced by additive manufacturing technology. The samples were scanned by computer tomography and then tested by structural loads. The results and analyses were presented.

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Section: Basic Cellmentioning

confidence: 99%

Structural Design Method for Constructions: Simulation, Manufacturing and Experiment

et al. 2021

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“…where = − 2 1 0 + 1 2 0 + Ω 0 is a vector of angles of rotation normal [3] After executing the vector product, the formula (3) takes the form…”

Section: Geometric Relationsmentioning

confidence: 99%

Finite element shear models of thin-walled structures of water management systems of agro-industrial complex

et al. 2020

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The article presents an algorithm for constructing a finite element model of deformation of thinwalled structures such as pipelines, tanks, bunkers included in the structure of the agro-industrial complex. The proposed model takes into account the deformation of the transverse shear. As a finite element, it is proposed to use a quadrangular fragment of the middle surface of a thin-walled structure of the agroindustrial complex with nodes located at its vertices. The components of the displacement vector and their partial derivatives of the first order with respect to curvilinear coordinates, as well as the components of the normal rotation angle vector, were chosen as the required unknowns. In the construction of the finite element model, the developed interpolation procedure was used for the components of the displacement vector and the component of the normal rotation angle vector as components of vector fields. The efficiency of the proposed finite element models in terms of a significant increase in the accuracy of calculations, the convergence of the computational process and the adequacy of the results to the physical meaning of the problem was proved on the numerical example of the calculation of the pipeline fragment.

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“…One of them is based on approximating the inhomogeneity by constructing a distribution using the mean intercept length method. With this approach, the physical relations are expressed in terms of the tensor of elastic constants and the fabric tensor (Sachenkov et al, 2016;Kayumov et al, 2018;Yaikova et al, 2019). The next approach is based on reducing the material anisotropy to orthotropy by calculating constants from numerical experiments (Ruess et al, 2012;Ridwan-Pramana et al, 2017;Chikova et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Bone Stress-Strain State Evaluation Using CT Based FEM

et al. 2021

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Nowadays, the use of a digital prototype in numerical modeling is one of the main approaches to calculating the elements of an inhomogeneous structure under the influence of external forces. The article considers a finite element analysis method based on computed tomography data. The calculations used a three-dimensional isoparametric finite element of a continuous medium developed by the authors with a linear approximation, based on weighted integration of the local stiffness matrix. The purpose of this study is to describe a general algorithm for constructing a numerical model that allows static calculation of objects with a porous structure according to its computed tomography data. Numerical modeling was carried out using kinematic boundary conditions. To evaluate the results obtained, computational and postprocessor grids were introduced. The qualitative assessment of the modeling data was based on the normalized error. Three-point bending of bone specimens of the pig forelimbs was considered as a model problem. The numerical simulation results were compared with the data obtained from a physical experiment. The relative error ranged from 3 to 15%, and the crack location, determined by the physical experiment, corresponded to the area where the ultimate strength values were exceeded, determined by numerical modeling. The results obtained reflect not only the effectiveness of the proposed approach, but also the agreement with experimental data. This method turned out to be relatively non-resource-intensive and time-efficient.

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Parameter determination of hereditary models of deformation of composite materials based on identification method

Cited by 7 publications

References 4 publications

Structural Design Method for Constructions: Simulation, Manufacturing and Experiment

Structural Design Method for Constructions: Simulation, Manufacturing and Experiment

Finite element shear models of thin-walled structures of water management systems of agro-industrial complex

Bone Stress-Strain State Evaluation Using CT Based FEM

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