Model of the Stress State of a Unidirectional Composite with Cylindrical Fibers Forming a Tetragonal Structure

Nikolaev, A. G.; Tanchik, E. A.

doi:10.1007/s11029-016-9571-6

Cited by 9 publications

(9 citation statements)

References 4 publications

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“…In contrast to the works [24][25][26][27][28][29][30][31][32][33][34][35], which also use the generalized Fourier method with separate addition theorems, in this work a number of tools were applied simultaneously. These are transition functions in basic interchanges between cylindrical coordinate systems, transition functions between cylindrical (including shifted) and Cartesian coordinate systems for both layer boundaries.…”

Section: Discussion Of the Results Of Studying The Stress-strain Stat...mentioning

confidence: 99%

“…The problem for a cylinder with N cylindrical cavities is considered in [25]. The problem for a cylinder with cylindrical cavities forming a hexagonal structure is considered in [26] and a cylinder with 16 cylindrical inclusions in [27]. In these papers [24][25][26][27], addition theorems of the generalized Fourier method were applied for several cylindrical systems.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…The problem for a cylinder with cylindrical cavities forming a hexagonal structure is considered in [26] and a cylinder with 16 cylindrical inclusions in [27]. In these papers [24][25][26][27], addition theorems of the generalized Fourier method were applied for several cylindrical systems. But they do not take into account the addition formulas for solving the Lame equation between Cartesian and cylindrical coordinate systems.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

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Solution of the problem of the theory of elasticity and analysis of the stress state of a fibrous composite layer under the action of transverse compressive forces

Miroshnikov

Savin

Younis

et al. 2022

EEJET

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An analytical-numerical solution of the spatial problem of elasticity theory for a composite in the form of a layer with two longitudinal endless continuous cylindrical inclusions is proposed. Homogeneous, isotropic materials of the layer and inclusions differ from each other in the modulus of elasticity and Poisson's ratio. Normal stresses are set on the upper and lower boundaries of the layer. The object of study is the stress state of such a composite. The problem is the lack of a high-precision method for calculating multiply connected bodies of this type. The solution of the problem is based on the generalized Fourier method for the Lame equations in various coordinate systems. The problem is reduced to an infinite system of linear algebraic equations, which is solved by the reduction method. In a numerical study, the stress state was obtained inside the composite bodies, within their conjugations, and on the isthmus between inclusions. It has been established that extreme stresses sρ=–0.9306 MPa, sf=–0.5595 MPa, tρf=–0.315 MPa occur on the mating face. Analysis of the stress state indicates the need to take into account the normal stresses on the mating surface. This is due to the presence of a binder, which may differ in physical characteristics from the main components of the composite. The results have logical physical correctness and, in simplified versions, are fully consistent with the results of similar problems from other approved sources. In the work, the transition formulas in the basic solutions between different coordinate systems, the conjugation conditions for different bodies, and the strict fulfillment of the equilibrium conditions for given boundary functions are simultaneously applied. This made it possible to obtain a high-precision solution of a new problem in the theory of elasticity for a layer with cylindrical inclusions and given only stresses on the boundary surfaces. The proposed method of calculation can be applied in the design of structures made of fibrous composites in the aircraft industry and construction.

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Section: Discussion Of the Results Of Studying The Stress-strain Stat...mentioning

confidence: 99%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

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Solution of the problem of the theory of elasticity and analysis of the stress state of a fibrous composite layer under the action of transverse compressive forces

Miroshnikov

Savin

Younis

et al. 2022

EEJET

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“…They're fast-growing trees found near the coast, rivers, and streams but also in Georgia's historic neighborhoods, parks, and cities [16] (Fig. 15,16).…”

Section: Whereas In Many Of the States Of The Union Some Tree Indigenous To The Soil Of The State Has Been Chosen As An Emblem Of Its Sovmentioning

confidence: 99%

“…Bennett Robert [14] вважає, що найбільш харкатериними симптомами МФБС є локалізація болю у мʼязах або фасції окремих, ізольованих зонах тіла, так званих «тригенрих точках». Цю думку поділяє його колега Thomas W. Myers [15], додаючи, що він розповсюджується вздовж ліній натягу (т.зв. «меридіанів» або «потягів»).…”

Section: Trends In Science and Practice Of Today 349unclassified

Abstracts of XXVIII International Scientific and Practical Conference

2021

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TRENDS IN SCIENCE AND PRACTICE OF TODAY 20(Carrière) C.K.Schneid., Thuja plicata f. pendula (Beissn.) Rehder, Thuja plicatilis Beissn. і Thuja wareana Lodd. ex Loudon.As a result of crossing Th. plicata of Th. standishii hybrids are formed, resistant to leaf spot caused by Didymascella thujina (E.J. Durand). Known hybrid Th. occidentalis x Th. plicata, whose origin is unknown, but the name is given Thuja×plicatoides sp.n.hybr [10].Botanists have been discussing taxonomy for many years Th. plicata. To date, a clear systematic classification of the species has been developed, although it is contradictory and needs clarification. Only 2 hybrids are known Th. plicata, formed as a result of interspecific crossing of the species with Th. occidentalis та Th. standishii.References: 1. Chuprina Р. Results of the introduction of North American conifers in the Central Republican Botanical Garden of the USSR Academy of Sciences. Kiev : 1988. 96 р. 2. Discover life. Internet resource : http://www. discoverlife.org/mp/20q 3. Kaplunenko N. Thuja and biota oriental in landscaping in Ukraine. Kiev : 1968. 88 р. 4. Kohno N. Methodical recommendations on the selection of trees and shrubs for

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Rotation of the Layer with the Cylindrical Pipe Around the Rigid Cylinder

Miroshnikov

2022

Lecture Notes in Mechanical Engineering

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Model of the Stress State of a Unidirectional Composite with Cylindrical Fibers Forming a Tetragonal Structure

Cited by 9 publications

References 4 publications

Solution of the problem of the theory of elasticity and analysis of the stress state of a fibrous composite layer under the action of transverse compressive forces

Solution of the problem of the theory of elasticity and analysis of the stress state of a fibrous composite layer under the action of transverse compressive forces

Abstracts of XXVIII International Scientific and Practical Conference

Rotation of the Layer with the Cylindrical Pipe Around the Rigid Cylinder

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