Diffraction of a time-harmonic SH wave by a filled elliptic cylinder in an unbounded viscoelastic medium with the Rzhanitsyn–Koltunov kernel is studied; the unfilled cavity is analysed first. The freezing method reduces the problem to a Helmholtz equation with a complex wavenumber, solved exactly in Mathieu functions of complex parameter. The algorithm is verified against the static limit, the circular-cavity solution and the method of fundamental solutions (agreement to 10−12). Normalising the decaying incident wave at the origin overstates the dynamic stress concentration factor (DSCF) by up to 27%; normalisation at the point of first contact is proposed. The viscous effect is split into softening, which shifts the DSCF spectrum to lower frequencies by 37–45%, and damping, which reduces the DSCF by up to 15%. Near ????0???? ≈ 1 the DSCF decreases by 14–29%, while its peak drops by only 1–5%. The kernel parameters A and ???? dominate, while ???? has little effect (below 1.5%). For a viscoelastic filler, the ratio of filler and medium viscosities governs the stress state: the interface stress at a stiff filler varies from −15% to +17%, the tangential stress at a soft filler from −17% to +24%.
| Mualliflar | Sabirova, R, Сабирова, Р, Sabirova, R |
|---|---|
| Jurnal | Mexanika muammolari jurnali |
| Nashriyot | Механика ва иншоотлар сейсмик мустаҳкамлиги институти |
| ISSN | 2010-7250 |
| Nashr sanasi | 2026-09-30 |
| Jild | 37 |
| Son | 3 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-10-18 |
viscoelastic medium, elliptic cavity, SH wave, diffraction, filler, Mathieu functions, Rzhanitsyn--Koltunov kernel, dynamic stress concentration, вязкоупругая среда, эллиптическая полость, SH-волна, дифракция, заполнитель, функции Матье, ядро Ржаницына–Колтунова, динамическая концентрация напряжений, qovushqoq-elastik muhit, elliptik bo‘shliq, SH-to‘lqin, difraksiya, to‘ldirgich, Mathieu funksiyalari, Rjanitsin–Koltunov yadrosi, dinamik kuchlanish konsentratsiyasi
| APA | Sabirova, R, Сабирова, Р, & Sabirova, R (2026). Diffraction of an SH wave by a filled elliptic cylinder in a viscoelastic medium. Mexanika muammolari jurnali, 37(3). https://www.pmjournal.uz/index/article/view/23 |
|---|---|
| GOST (OAK) | Sabirova, R, Сабирова, Р, Sabirova, R Diffraction of an SH wave by a filled elliptic cylinder in a viscoelastic medium // Mexanika muammolari jurnali. – 2026. – T. 37, № 3. |
| MLA | Sabirova, R, Сабирова, Р, and Sabirova, R. “Diffraction of an SH wave by a filled elliptic cylinder in a viscoelastic medium.” Mexanika muammolari jurnali, 37(3), 2026. https://www.pmjournal.uz/index/article/view/23 |
| Chicago | Sabirova, R, Сабирова, Р, and Sabirova, R. “Diffraction of an SH wave by a filled elliptic cylinder in a viscoelastic medium.” Mexanika muammolari jurnali, 37(3) (2026). https://www.pmjournal.uz/index/article/view/23 |
| Harvard | Sabirova, R, Сабирова, Р, and Sabirova, R (2026) ‘Diffraction of an SH wave by a filled elliptic cylinder in a viscoelastic medium’, Mexanika muammolari jurnali, 37(3). https://www.pmjournal.uz/index/article/view/23 |
| BibTeX | @article{sabirovar2026,
title = {Diffraction of an SH wave by a filled elliptic cylinder in a viscoelastic medium},
author = {Sabirova, R and Сабирова, Р and Sabirova, R},
journal = {Mexanika muammolari jurnali},
year = {2026},
volume = {37},
number = {3},
url = {https://www.pmjournal.uz/index/article/view/23}
} |
Boshqa maqola uchun iqtibos tayyorlash
The article considers the dynamic problem of transverse vibrations of a rectangular plate on an elastic foundation, with all edges fixed, under normal loads applied to its face surface, based on the bimoment theory of…
A three-link anthropomorphic robotic arm moving in a vertical plane with viscous friction in the joints is considered. The problems of stabilizing a given position and a programmed motion are solved under the condition…
This study addresses the formulation and numerical solution of a plane dynamic elasticity problem in which the stress tensor components are the primary unknowns. The objective is to develop a numerical algorithm for…
The paper considers forced bending vibrations of a polymer pipe conveying an ideal fluid. The influence of the fluid flow on the forced vibrations of the polymer pipe under an external driving force is studied…
An algorithm for computational hydromechanics is presented that combines an absolutely conservative transport scheme for momentum and admixtures with explicit finite-difference approximations. The study addresses key…
Background: Elastoplastic tension and torsion of a homogeneous square bar are examined for sequential and proportional loading paths. Methods: A displacement formulation is used: plastic shear strains contribute to the…
This study investigates the longitudinal and transverse components of linear perturbations in the Blasius boundary layer within the framework of local hydrodynamic stability analysis. The base-flow profile is determined…
A two-scale (macro–micro) mathematical model and a verified numerical method are developed for mass transport and adsorption in an annular cylindrical filter under inward radial flow. At the macro scale, an axisymmetric…
In this paper, heat transfer equations describing heat propagation processes in solids, liquids, and gases are considered. The physical nature of heat conduction, the fundamental laws governing heat transfer, and their…
This study develops a mathematical formulation and numerical solution for determining the spatial–temporal distribution of the groundwa- ter head in heterogeneous porous media, and illustrates them with a transient…
Mexanika muammolari jurnali — barcha maqolalar · 2026-yil arxivi
As the population grows, it will be necessary further to expand the scope of research on graphic processes. Along with population structures, in particular, age, gender, and national-ethnic structures, there are also…
The article describes the classification of cloud technologies and the world experience of using them in the financial system. The advantages of using cloud technologies in the tax system, banking and accounting are…
This article describes the effective organization of the educational process through the educational and educational views of Eastern thinkers and the qualities of the teacher's creative thinking, the requirements for…
Inflammation of the mucous membrane of the respiratory tract is accompanied by a pathomorphological process at the cellular, tissue, and immune levels of the body. In studies aimed at studying the inflammatory process…
The article presents the results of many years of observation of the growth of the above-ground organs of the rare and endangered plant black root of the green-flowered plant (Cynoglossum viridiflorum Pall.ex. Lehm.)…
The article analyzes the relationship between language and gender stereotypes. It has been established that linguistic expressions play a crucial role in the formation and reinforcement of gender norms in society. The…
This article presents the results of 2018-2023, such as biological diversity, inter-landscape distribution characteristics, density,and number of straggly insects identified from natural and anthropogenic areas of…
This article observational data on the species composition, distribution, population, density, and seasonal damage caused causedby herbivorus bugs. Observationes were carried out in April and September 2021. When…
In the article, the research fields of some species belonging to Paeonia, their significance in human life, adaptation features tovarious ecological conditions are highlighted, and the ecologist groups and other…
This article studies the number of species, population density of terrestrial mollusks of the Topalangdarya basin, located in theSurkhandarya region of Uzbekistan, in various altitudinal regions and biotopes and…
This article sheds light on changes in biomass formation and antimicrobial activity against test pathogenic strains under theinfluence of epigenetic modifiers and elicitors of the endophytic fungus Penicillium…
Shahimardonsoy covered issues such as the soil in the river basin and measures to increase its condition, salinity and fertility, theflora and fauna present in the basin landscape and their conservation.