Roman Pasternak’s research while affiliated with Lutsk National Technical University and other places

... Therefore, today the issue of optimizing and establishing a statement of facts of a 3D computer model for modelling spherical elements is acute [26]. And also, the ability to generate specific heuristics that correspond to the deep essence of this research will make it possible to reduce the number of time-consuming and cumbersome field experiments [27,28]. ...

Reference:

Development of a 3D Computer Simulation Model Using C++ Methods

... Therefore, the BEM requires much less computation time. In addition, the analysis of infinite models is much simpler and more accurate [12][13][14]. Since the phenomenon under consideration often can be described by a singular equation, the computation results are very precise because of the singular basis functions. ...

Reference:

Three-dimensional boundary element sensitivity analysis of anisotropic thermoelastic materials

... Since the phenomenon under consideration often can be described by a singular equation, the computation results are very precise because of the singular basis functions. Based on the above-mentioned facts, it is realized that the BEM is an ideal tool in the solution of problems such as stress concentration [15], thermal stresses [16], thermoelastic nanomaterials [17], anisotropic elasticity [18,19], anisotropic thermoelasticity [20,21], and thermoelastic optimization [22]. To prevent direct integration, numerous BEM strategies have been suggested such as domain fanning method [23], exact transformation method [24], dual reciprocity method [25], radial integration method [26], and Cartesian transformation method [27,28]. ...

Reference:

Three-dimensional boundary element sensitivity analysis of anisotropic thermoelastic materials

... Successful attempts were made in [17,33,[42][43][44][45] to apply it to consider the influence of various physical and contact nonlinearities in the antiplane problem of elasticity theory for two compressed half-spaces with interfacial defects. The frictional slip with possible heat generation for contacting bodies [34,44,[46][47][48][49] and the boundary element approach [50][51][52] were also considered here. Inhomogeneity of the mechanical properties of structural materials can be both designed for a specific purpose (FGM) and a consequence of technological processes of obtaining new materials and their processing (FSW, ball-burnishing process, etc.) [53,54]. ...

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Effect of the Transverse Functional Gradient of the Thin Interfacial Inclusion Material on the Stress Distribution of the Bimaterial under Longitudinal Shear

... It is widely used in the analysis of anisotropic [6], [7], piezoelectric [7], [15], [16] and magnetoelectroelastic [15] solids with through cracks and inclusions. In [3], [4], boundary integral Somilliana-type equations for the boundary-element analysis of anisotropic thermomagnetoelectroelastic bimaterial with holes, cracks and thin inclusions are obtained. ...

Reference:

Influence of Imperfect Interface of Anisotropic Thermomagnetoelectroelastic Bimaterial Solids on Interaction of Thin Deformable Inclusions

... Four central boundary elements Nos. 1-4 use general quadratic shape functions (26), while other elements (Nos. 5-12) utilize special shape functions (27) to account for the square root singularity of stress and heat flux at the inclusion front. ...

Reference:

Boundary element analysis of 3D shell-like rigid electrically conducting inclusions in anisotropic thermomagnetoelectroelastic solids

... Огляди літератури, де використовують механічні і математичні гіпотези, можна знайти в працях [4,[9][10][11]. Тонкі п'єзоелектричні неоднорідності у пружній матриці розглядали в публікаціях [5,12,15,16]. Також асимптотично змодельовано [2, 3, 6-8, 13, 14] динамічний контакт пружних тіл через тонкі п'єзоелектричні включення і прошарки різної жорсткості. У цьому дослідженні цей підхід вжито для створення моделей динамічної поведінки тонкостінних металічних включень чи прошарків у п'єзокерамічному середовищі за усталених коливань композиту. ...

Reference:

Dynamic interaction of a thin metallic inclusion with a piezoceramic matrix

... The obtained integral equations are introduced into the scheme of the modified boundary elements method [17]. To solve them, the curves Γ = ⋃ Γ are approximated using rectilinear segments (boundary elements) Γ . ...

Reference:

Influence of Imperfect Interface of Anisotropic Thermomagnetoelectroelastic Bimaterial Solids on Interaction of Thin Deformable Inclusions