Fracture of a composite reinforced by unidirectional fibers

Hasanov, F. F.

doi:10.1007/s11029-014-9447-6

Cited by 3 publications

(4 citation statements)

References 4 publications

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“…Singular integral equations ( 32), ( 33) and the algebraic system of equations ( 25), ( 26), (31) and also (19) are the main resolving equations of the problem and can determine the functions g(x), g 1 (y) and the coefficients a 2k , b 2k , A 2k .…”

Section: Solution Methodsmentioning

confidence: 99%

“…Algebraic systems (39), ( 40) and ( 41), ( 42) are connected with infinite linear systems ( 25), ( 26), ( 31), (19), wherein instead of B 2k , B Ã 2k , B 0 2k and F 2k the relations in the form of integral sums were substituted. Under the given interference function of the connection of the binder and fibre, the mentioned system completely determines the solution of the fracture mechanics problem of a composite body (composite).…”

Section: Algebraization Of the Main Resolving Equationsmentioning

confidence: 99%

“…Under the given interference of connection of the fibre and binder by means of the solution of the algebraic system ( 25), ( 26), ( 31), (19) and formula (43), we can calculate the stress intensity factors. Study of the influence of the interference of the fibre and binder connection on stress intensity factors is of great interest.…”

Section: The Interference Of Connections Is Given (Direct Problem)mentioning

confidence: 99%

“…The problem of optimal design theory is to determine the characteristics of a composite body so that under the action of the given loads the composite is the best of all composite bodies of the type considered. In the literature [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] the problems of fracture of composites and adhesive bonding are considered.…”

Section: Introductionmentioning

confidence: 99%

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The inverse doubly periodic problem of fracture mechanics for a composite reinforced with unidirectional fibres

Мирсалимов

2019

Mathematics and Mechanics of Solids

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A theoretical analysis is made of the optimal interference for fitting elastic fibres into the two-periodic system of holes of an isotropic elastic binder. The principles of equal strength and the minimization of stress intensity factors are used. The binder of the composite is weakened by a doubly periodic system of rectilinear cracks. A criterion and methods for solving the problem of the prevention of fracture of a composite reinforced with unidirectional fibres are suggested. A closed system of algebraic equations that allows one to obtain the solution of the problem of the optimal design of a composite body depending on the mechanical and geometrical characteristics of a binder and fibre is constructed. The found interference provides an increase of the load-bearing capacity of the composite. The results of the considered theoretical work open new possibilities for the optimal design of the composite bodies (composites) at the expense of the choice of interference of the binder and fibre joint.

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Section: Solution Methodsmentioning

confidence: 99%

Section: Algebraization Of the Main Resolving Equationsmentioning

confidence: 99%

Section: The Interference Of Connections Is Given (Direct Problem)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The inverse doubly periodic problem of fracture mechanics for a composite reinforced with unidirectional fibres

Мирсалимов

2019

Mathematics and Mechanics of Solids

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Modeling Crack Initiation in a Composite Under Bending

Hasanov¹

2018

J. of Mech. Eng.

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Modeling of Cracks Nucleation in Fiber Composite Under Bending

Hasanov

Гумбат²

2018

Struct. Mech. Eng. Const. Build.

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МОДЕЛИРОВАНИЕ ТРЕЩИНООБРАЗОВАНИЯ В ВОЛОКНИСТОМ КОМПОЗИТЕ ПРИ ИЗГИБЕ Ш.Г. ГАСАНОВАзербайджанский технический университет пр. Г. Джавида, д. 25, Баку, Азербайджан, AZ 1073 (поступила в редакцию: 4 января 2018 г.; принята к публикации: 30 апреля 2018 г.)Проектирование армированного волокнами композита минимальной материалоемкости при гарантированной надежности и долговечности требует учета случаев, когда в связующем могут возникать трещины. Чтобы знать предельные изгибающие нагрузки, при которых в связующем произойдет образование трещин, необходимо прово-дить предельный анализ композита. На основе предложенной расчетной модели, учитывающей в волокнистом ком-позите наличие повреждений (зон ослабленных межчастичных связей материала), разработан метод расчета пара-метров композита, при которых появляются трещины. Рассмотрена тонкая пластина из упругой изотропной среды (матрицы) и распределенных в ней включений (волокон) из другого упругого материала при изгибе. Считается, что при нагружении происходит зарождение трещин и разрушение композита. Для прогнозирования появления трещин в волокнистом композите при изгибе в зависимости от геометрических и механических характеристик связующего и волокна построена замкнутая система нелинейных алгебраических уравнений. Сформулирован критерий зарож-дения трещин в композите при действии изгибающих нагрузок. Размер предельных минимальных зон ослабленных межчастичных связей материала, при которых происходит трещинообразование, рекомендуется рассматривать как проектную характеристику материала связующего.Ключевые слова: связующее, волокно, изгиб, зоны предразрушения, композитная пластина, трещинообразование Design of fiber-reinforced composite of minimum material consumption at guaranteed reliability and durability requires consideration of cases when cracks may appear in the binder. To know the limit bending loads at which cracks will occur in the binder, it is necessary to carry out the limit analysis of the composite. Proposed design model takes into account the presence of damages (zones of weakened inter-particle bonds of the material) in the fiber composite. Based on this design model a calculation method has been developed for composite parameters at which cracks appear. A thin plate of elastic isotropic medium (matrix) and inclusions (fibers) of another elastic material distributed in the matrix is considered. The plate is bending. It is assumed that at the loading of composite, the cracks initiation and fracture of the composite occur. A closed system of nonlinear algebraic equations is constructed. Solution of the obtained system allows to predict the cracking in composite under bending, depending on geometric and mechanical characteristics of the binder and fiber. A criterion of the cracks nucleation in the composite under the action of bending loads is formulated. Size of limit minimal zones of weakened inter-particle bonds of the material at which the cracks nucleation occurs is recommended to be considered as a design characteristic of the binder material. MODELING OF...

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Fracture of a composite reinforced by unidirectional fibers

Cited by 3 publications

References 4 publications

The inverse doubly periodic problem of fracture mechanics for a composite reinforced with unidirectional fibres

The inverse doubly periodic problem of fracture mechanics for a composite reinforced with unidirectional fibres

Modeling Crack Initiation in a Composite Under Bending

Modeling of Cracks Nucleation in Fiber Composite Under Bending

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