Nonstandard Problems for Structural Elements with Spatial Composite Ribs

Pestrenin, V. M.; Pestrenina, I. V.; Landik, L. V.

doi:10.1007/s11029-015-9520-9

Cited by 7 publications

(18 citation statements)

References 4 publications

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“…Эффективные характеристики углепластика рассчитываются в два этапа: приведенные свойства однонаправленного материала определяются методом условных моментных функций [22]; приведенные свойства пакета определяются осред-нением по его толщине [23]. Рассматриваются ортогонально армированный пакет (углы между направлениями волокон / 2  ) и пакет с трансверсально-изотропными свойствами (углы / , 3 n n    ) [23]. Эффективные материальные характеристики пакета приведены определении термодинамических параметров газа внутри оболочки в процессе ее разверты-вания.…”

Section: принимаемые допущения постановка задачиunclassified

Packaging and Deployment of Large Shell Structures by Internal Pressure Loading

2016

PNRPU MB

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Section: принимаемые допущения постановка задачиunclassified

Packaging and Deployment of Large Shell Structures by Internal Pressure Loading

2016

PNRPU MB

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“…An experimental solution to the elastic problem of strain is illustrated for the plane domain through the case of a composite plane model that is 180 mm long and 24 mm wide. Deformation defrosting and photo-elasticity methods are employed to obtain the experimental solution [15][16][17][18][19][20]. An experimental solution to the elastic problem of strain is illust domain through the case of a composite plane model that is 180 mm wide.…”

Section: Introductionmentioning

confidence: 99%

“…An experimental solution to the elastic problem of strain is illust domain through the case of a composite plane model that is 180 mm wide. Deformation defrosting and photo-elasticity methods are empl experimental solution [15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

“…It has been experimentally proven [15][16][17][18][19][20] that substantial strain and rotations are observed in the area close to the vertex of the angular cutout in the boundary area, which corresponds to higher values of the first and second derivatives of displacements along the radius if the radii in the neighborhood of the irregular boundary point are small enough. The plane problem of elasticity theory must be considered for such areas, taking into account geometric nonlinearity under the action of strain.…”

Section: Introductionmentioning

confidence: 99%

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Minor and Major Strain: Equations of Equilibrium of a Plane Domain with an Angular Cutout in the Boundary

Frishter

2023

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Large values and gradients of stress and strain, triggering concentrated stress and strain, arise in angular areas of a structure. The strain action, leading to the finite loss of contact between structural elements, also triggers concentrated stress. The loss of contact reaches an irregular point and a line on the boundary. The theoretical analysis of the stress–strain state (SSS) of areas with angular cutouts in the boundary under the action of discontinuous strain is reduced to the study of singular solutions to the homogeneous problem of elasticity theory with power-related features. The calculation of stress concentration coefficients in the domain of a singular solution to the elastic problem makes no sense. It is experimentally proven that the area located near the vertex of an angular cutout in the boundary features substantial strain and rotations, and it corresponds to higher values of the first and second derivatives of displacements along the radius in cases of sufficiently small radii in the neighborhood of an irregular boundary point. As far as these areas are concerned, it is necessary to consider the plane problem of the elasticity theory, taking into account the geometric nonlinearity under the action of strain, to analyze the effect of relationships between strain orders, rotations, and strain on the form of the equation of equilibrium. The purpose of this work is to analyze the effect of relationships between strain orders, rotations, and strain on the form of the equilibrium equation in the polar system of coordinates for a V-shaped area under the action of temperature-induced strain, taking into account geometric non-linearity and physical linearity.

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“…This circumstance makes the problem of mechanics of a deformable solid with a non-classical singular point. Non-classical (in the indicated sense) problems were considered in the subsequent works of these authors such as (homogeneous flat wedges (Pestrenin et al, 2016), composite flat wedges (Pestrenin et al, 2015, composite spatial edges, internal singular points in flat and spatial structural elements (Pestrenin et al, 2018), three-dimensional composite edges , circular homogeneous and composite cones, regular polyhedral (Pestrenin et al, 2014). In the present article, a non-classical approach is used to study the state parameters at the edge of a homogeneous elastic body.…”

Section: Introductionmentioning

confidence: 99%

Restrictions on the stress components in the edge points of the homogeneous elastic body

Pestrenin¹,

Pestrenina²,

Landik³

2019

10.5267/j.esm

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The concept of a deformable body point is taken in the form of a continuum point and an elementary volume connected with it. The continuum point determines the spatial position of the deformable body point, and the elementary volume is the carrier of its material properties and stress-strain state characteristics. Based on this representation, restrictions on the state parameters at the edge points (singular points) of an isotropic body are constructed. These restrictions become preset conditions in singular points. The study covers possible interactions of the edge-forming surfaces with the external environment. It is shown that the restrictions formed at the edge points are usually more numerous than the restrictions at the regular point on the surface of a deformable body. This circumstance leads to a non-classical formulation of the mechanics problem for bodies with singular points. The combinations of geometric and material parameters of a structural component are discovered that determine the singular stresses behavior in elementary volumes with edge points. The load restrictions ensuring the compatibility of parameters defined at singular points are formulated. The attained results will apply to studying stress concentration in the vicinity of 3D-edges of structural components.

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Nonstandard Problems for Structural Elements with Spatial Composite Ribs

Cited by 7 publications

References 4 publications

Packaging and Deployment of Large Shell Structures by Internal Pressure Loading

Packaging and Deployment of Large Shell Structures by Internal Pressure Loading

Minor and Major Strain: Equations of Equilibrium of a Plane Domain with an Angular Cutout in the Boundary

Restrictions on the stress components in the edge points of the homogeneous elastic body

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