The stress concentration in an elastic ball with nonconcentric spherical cavity

Kolesov, V. S.; Vlasov, N. M.; Тисовський, Л. О.; Shatskii, I. P.

doi:10.1007/bf01255738

Cited by 4 publications

(3 citation statements)

References 1 publication

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“…Such analysis is of both academic and practical concern because its essential worth as a standard problem in engineering acoustics. The presented set of converged time-domain solutions can particularly supplement the exploratory subaquatic testing techniques for object categorization and nondestructive characterization of eccentric parts of spherical geometry [19][20][21]. It may further be used for confirmation of solutions obtained by stringently numerical and/or approximate asymptotic techniques.…”

Section: Introductionmentioning

confidence: 92%

Transient acoustic radiation from an eccentric sphere

Hasheminejad

Mousavi-Akbarzadeh

2015

Applied Mathematical Modelling

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a b s t r a c tA vigorous semi-analytical model is offered to describe the 3D coupled nonaxisymmetric non-steady acousto-elastodynamic behavior of a submerged solid sphere with an off-center fluid-filled spherical cavity, acted upon by general distributed time-varying mechanical loads at its internal and/or external boundaries. The solid medium is designated by the 3D Navier's linear elasticity model, while the internal/external ideal compressible fluids are assumed to obey the classical linear acoustic theory. Laplace transformation is applied to the time variable, and the separation of variables technique together with the pertinent fluid/solid interface conditions, the classical orthogonality properties of spherical harmonics, and a modified form of the translational addition theorem for spherical vector wave functions, are utilized to attain the final matrix equations in terms of unknown modal coefficients. Durbin's Laplace transform inversion algorithm is subsequently applied to compute the pressure/displacement time response histories of water-submerged eccentric and coaxial metallic spheres excited by a couple of external concentrated Ricker-pulse radial excitations. Also, some key characteristics of the transient structure/liquid interaction phenomena with respect to cavity eccentricity are noted based on selected two-dimensional visualizations of the internal/external sound fields. Lastly, the accuracy of numerical simulations is verified by employing a standard FEM software.

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Section: Introductionmentioning

confidence: 92%

Transient acoustic radiation from an eccentric sphere

Hasheminejad

Mousavi-Akbarzadeh

2015

Applied Mathematical Modelling

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“…When setting contact problems, researchers pay considerable attention to modeling the strength, stiffness, and stability of shell and plate structures [31,32], especially of asymmetrical and complex shapes [33], as well as in the presence of stress concentrators [34][35][36]. In particular, the effects of stress concentration in inhomogeneous solids near cavities and vicarious particulates have been studied in works [37][38][39]. Studies of contact interaction between a cylindrical shell and an elastic body by virtual and laboratory experiments are presented in works [40,41].…”

Section: Analysis Of Literature Sources: the Purpose Of Studymentioning

confidence: 99%

Strength Analysis of a Two‐Layer PETF‐Concrete Column with Allowance for Contact Interaction between Layers

Velychkovych

Ropyak

Dubei

2021

Advances in Materials Science and Engineering

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This article develops an idea of mechanical recycling of polymer wastes. Unlike previous research studies, which are dedicated to the study of the physical and mechanical properties of fibrous concrete and the technology of its manufacturing, this work considers a specific construction product—laminated concrete column made of recycled polyethylene terephthalate (PETF). Currently, there are no policy documents (standards or codes) regarding the engineering design of such constructions. Therefore, the authors’ attention is focused on mechanical and mathematical modeling of the laminated column behavior under operational load. An analytical study of two-layer PETF-concrete column’s stress-strain state was performed, taking into account the contact interaction between inhomogeneous layers of the materials. It has been determined that, in certain circumstances, the contact pressure between the layers can have a significant effect on the load-bearing capacity of the column. In general, a method of engineering assessment of laminated columns’ load-bearing capacity was developed.

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“…Attention is paid to the simulation of strength, stiffness and stability of shell and planar structures, especially of their complex forms (Panevnik & Velichkovich, 2017) and for cases of stress concentrators (Kolesov et al, 1992) or inclusions. In particular, the effects of stress concentrations in nonhomogeneous solids near cavities and inclusions were studied in (Kolesov et al, 1993;Shats'kyi, 2015), and a model was proposed for assessing the efficiency of rectifying crack-like defects with non-contrast material in (Striletskyy & Rovinskyy, 2017). The physical (Saakiyan et al, 1987), electrochemical (Saakiyan et al, 1989;Dolgov, 2016) and analytical (Shatskii, 1989) methods are used to study the behavior of materials, including layered structures with loading.…”

Section: Introductionmentioning

confidence: 99%

Analytical estimation of tooth strength, restored by direct or indirect restorations

Bulbuk¹,

Velychkovych²,

Мазуренко³

et al. 2019

10.5267/j.esm

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This work presents a stress-strain state analytical estimation of restored tooth hard tissues with consideration of their contact interactions with a monolithic filling or a dental onlay. The tooth with a defect is simulated as a continuous isotropic cylindrical body with a non-through hole, and the filling or onlay is simulated as an elastic deformable cylinder. The contact between the tooth and the fillings (onlay) is simulated as the ideal contact. The final strength estimation of the restored tooth is carried out according to the energy criterion. The authors suggest a linear index of tooth damage for practical application of the obtained results. This index can be easily obtained by direct measurement. The differential approach is developed to select a restoring method of the tooth with the defect to provide a reliable restoration of the anatomical crown of the tooth.

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The stress concentration in an elastic ball with nonconcentric spherical cavity

Cited by 4 publications

References 1 publication

Transient acoustic radiation from an eccentric sphere

Transient acoustic radiation from an eccentric sphere

Strength Analysis of a Two‐Layer PETF‐Concrete Column with Allowance for Contact Interaction between Layers

Analytical estimation of tooth strength, restored by direct or indirect restorations

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