Evaluation of the stress singularity of an interface V-notch in a bimaterial plate under bending

Wang, Xu; Tong, Zhenzhen; Leung, A.Y.T.; Xü, Xinsheng; Zhou, Zhenhuan

doi:10.1016/j.engfracmech.2016.09.009

Cited by 10 publications

(9 citation statements)

References 39 publications

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“…Holes and surface corners are very common forms of defects in many kinds of materials such as metals, ceramics, plastics, and composites. For example, shrinkage defects exist in casting, injection moulding, and welding, holes caused by incomplete healing at interfaces are found in the fused filament fabrication parts, corrosion defects often locate at the outer surface of a pipeline girth weld, and voids with V‐shape corners are easy to occur in multilayered composites, bonded joints, and coating structures . On the other hand, metal grids with artificial square, diamond, and triangle holes have been used in common stealth structures .…”

Section: Introductionmentioning

confidence: 99%

“…Two‐dimensional (2D) solutions of singular stress fields for V‐shape corners are studied by a lot of scholars in recent years, and various methods of problem solving are coming up all the times . However, most V‐shape corners in real materials and structures are in three‐dimensional (3D) shape, and a 2D model considers only a cross section of a 3D model.…”

Section: Introductionmentioning

confidence: 99%

“…For example, shrinkage defects exist in casting, injection moulding, and welding, 1-3 holes caused by incomplete healing at interfaces are found in the fused filament fabrication parts, 4 corrosion defects often locate at the outer surface of a pipeline girth weld, 5 and voids with V-shape corners are easy to occur in multilayered composites, bonded joints, and coating structures. 6 On the other hand, metal grids with artificial square, diamond, and triangle holes have been used in common stealth structures. 7 High local stress concentration arises at the holes (or surface corners) due to sudden changes in cross section geometry, which can easily lead to fatigue cracks at edges of such defects.…”

Section: Introductionmentioning

confidence: 99%

“…Two-dimensional (2D) solutions of singular stress fields for V-shape corners are studied by a lot of scholars in recent years, and various methods of problem solving are coming up all the times. 6,[9][10][11][12][13][14][15][16][17][18][19][20] However, most V-shape corners in real materials and structures are in three-dimensional (3D) shape, and a 2D model considers only a cross section of a 3D model. Some 3D cases of V-shape corners, such as plane strain and axisymmetric problems, can be treated as 2D corners.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Intensity of stress singularity for the circumferential V‐shape corner front of a three‐dimensional diamond‐like defect

Ping

Zhang

Guo

et al. 2020

Fatigue Fract Eng Mat Struct

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Three‐dimensional diamond‐like defects with circumferential V‐shape corner fronts are often contained in engineering materials. In this paper, generalized stress intensity factors are calculated for this type of defect using a modified advanced finite element method. A super corner front element model in the global coordinates is established to capture the stress singularities along the circumferential corner front. Three‐dimensional numerical series eigen‐solutions in the element have been transformed from asymptotic expressions in the local curvilinear coordinates. The element is suitable for a sharp V‐shape corner with arbitrary opening and inclination angle. Singular stress fields near various shapes of diamond‐like defects are systematically investigated. The interaction of an embedded defect with free surface or another identical defect is also investigated. The numerical results can be used as stress intensity parameters to predict fatigue strength at circumferential corner front of a diamond‐like defect.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Intensity of stress singularity for the circumferential V‐shape corner front of a three‐dimensional diamond‐like defect

Ping

Zhang

Guo

et al. 2020

Fatigue Fract Eng Mat Struct

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show abstract

“…Authors of numerical approaches realize the asymptotic idea through unlimited grid model refinement of the area close to the singular point. Also there are studies by finite element method in Koguchia and Muramoto (2000), Xu and Tong(2016)), method of boundary elements in Mittelstedt (2005), Koguchi (2010), method of boundary conditions in Ryazantseva (2015). Mathematical problems, concerning the justification of asymptotic methods for studying of mechanics problems of a deformable solid body with singular points, were considered and successfully resolved in studies Kondratiev (1967), Mazya(1976).…”

Section: Introductionmentioning

confidence: 99%

Stress State at the Vertex of a Composite Wedge, One Side of Which Slides Without Friction Along a Rigid Surface

Pestrenin

Pestrenina

Landik

2017

Lat. Am. j. solids struct.

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For studying the stress-strain state at singular points and their neighborhoods new concept is proposed. A singular point is identified with an elementary volume that has a characteristic size of the real body representative volume. This makes it possible to set and study the restrictions at that point. It is shown that problems with singular points turn out to be ambiguous, their formulation depends on the combination of the material and geometric parameters of the investigated body. Number of constraints in a singular point is redundant compared to the usual point of the boundary (it makes singular point unique, exclusive). This circumstance determines the non-classical problem formulation for bodies containing singular points. The formulation of a non-classical problem is given, the uniqueness of its solution is proved (under the condition of existence), the algorithm of the iterative-analytical decision method is described. Restrictions on the state parameters at the composite wedge vertex, one generatrix of which is in non-friction contact with a rigid surface are studied under temperature and strength loading. The proposed approach allows to identify critical combinations of material and geometric parameters that define the singularity of stress and strain fields close to singular representative volumes. The constraints on load components needed to solution existence are established. An example of a numerical analysis of the state parameters at the wedge vertex and its neighborhood is considered. Solutions built on the basis of a new concept, directly in a singular point, and its small neighborhood differ significantly from the solutions made with asymptotic methods. Beyond a small neighborhood of a singular point the solutions obtained on the basis of different concepts coincide.

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Peridynamic modeling of Lamb wave propagation in bimaterial plates

Alebrahim

2019

Composite Structures

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Evaluation of the stress singularity of an interface V-notch in a bimaterial plate under bending

Cited by 10 publications

References 39 publications

Intensity of stress singularity for the circumferential V‐shape corner front of a three‐dimensional diamond‐like defect

Intensity of stress singularity for the circumferential V‐shape corner front of a three‐dimensional diamond‐like defect

Stress State at the Vertex of a Composite Wedge, One Side of Which Slides Without Friction Along a Rigid Surface

Peridynamic modeling of Lamb wave propagation in bimaterial plates

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