Nonlinear Deformation Properties of Composites with Transversely Isotropic Components

Khoroshun, L. P.; Nazarenko, L. V.

doi:10.1007/s10778-014-0628-8

Cited by 2 publications

(4 citation statements)

References 12 publications

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“…The proposed analytic-numerical solution method uses the generalized Fourier method. This allows -to obtain high-precision results, which prefers the accuracy of calculations over works [5][6][7][8][9];…”

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

confidence: 99%

“…But in this case, its nonlinear mechanical behavior should be taken into account and approximate methods for predicting the stress-strain state should be applied [3,4]. Thus, in [5], a model of deformation of composite materials reinforced with unidirectional spheroidal inclusions is considered. In the given example, the matrix is isotropic and deforms nonlinearly, while the inclusions are linearly elastic and have a transversely isotropic symmetry of physical and mechanical properties.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…The influence of the plate length on the stress distribution around the hole is studied. However, it should be noted that the approximate methods used in these works [5][6][7][8][9] do not provide confidence in the calculation when a highly accurate result is required.…”

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%

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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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show abstract

“…Therefore, following [3,4], we represent the solution of the problem as series in positive powers of the small parameter e: where L p are operators such that modulus ¢ G equal to 5. The problem of determining the effective elastic moduli of composites is addressed, for example, in [14,15]. Table 1 summarizes the values of the hoop stress s JJ / p on the boundary r =1of the hole at the point J = 0, x = 0 for different values of the aspect ratio a b / and relative thickness ( / ... ) b h = 1 5 of the plate.…”

Section: Transversely Isotropic Plate With a Curvedmentioning

confidence: 99%