Surface cracks in a plate of finite width under extension or bending

Boduroglu, H.

doi:10.1016/0167-8442(84)90026-0

Cited by 5 publications

(7 citation statements)

References 12 publications

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“…1 are given in Table 3. These results complement those given in [4], [6] and [7] for two identical coplanar cracks.…”

Section: {-484 }supporting

confidence: 74%

“…As in all previous studies (see for example, [1][2][3][4][5][6][7]) Reissner's theory [8,9] is used as the transverse shear theory of plate bending. It should be noted that the stress-based theory developed by Reissner is perhaps the simplest of many higher order bending theories that account for the transverse shear effects neglected by the classical plate theory.…”

Section: Introductionmentioning

confidence: 99%

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Surface crack problems in plates

Joseph

Erdoğan

1989

Int J Fract

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The mode I crack problem in plates under membrane loading and bending is reconsidered. The purpose is to examine certain analytical features of the problem further and to provide some new results. The formulation and the results given by the classical and the Reissner plate theories for through and part-through cracks are compared. For surface cracks the three-dimensional finite element solution is used as the basis of comparison. The solution is obtained and results are given for the crack/contact problem in a plate with a through crack under pure bending and for the crack interaction problem. Also, a procedure is developed to treat the problem of subcritical crack growth and to trace the evolution of the propagating crack.

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“…1 are given in Table 3. These results complement those given in [4], [6] and [7] for two identical coplanar cracks.…”

Section: {-484 }supporting

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Surface crack problems in plates

Joseph

Erdoğan

1989

Int J Fract

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“…It is seen that once the kernels k ij corresponding to the through cracks are determined and the part through crack profiles Lr(x l ) (or Lrl and L r2 ) are specified, the integral equations (41) and (42) (subject to conditions (43)) may be solved for fjr(t) and equations (40) and (8) or (27) would then give the stress intensity factors as functions of xl. The kernels k ij for various plates and shells containing through cracks may be found in [21], [22], [24]- [26]. For example, if we use a length parameter a* (usually a half crack length) to nonna1ize the dimensions, coordinates, and other quantities as (44) and define…”

Section: Applications and Some Resultsmentioning

confidence: 99%

Line Spring Model and Its Applications to Part-Through Crack Problems in Plates and Shells

Aksel

1988

Fracture Mechanics: Nineteenth Symposium

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This paper, after giving a general description of the line spring model, covers the problem of the interaction of multiple internal and surface cracks in plates and shells. The shape functions for various related crack geometries obtained from the plane strain solution and the results of some multiple crack problems are presented. The problems considered include coplanar surface cracks on the same or opposite sides of a plate; nonsymmetrically located coplanar internal elliptic cracks; and, in a very limited way, the surface and corner cracks in a plate of finite width and a surface crack in a cylindrical shell with fixed end.

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“…[88][89][90][91][92][93][94][95][96][97][98][99][100][101][102] Such structural components present double curvature and, because of their complex geometry, have been studied by adopting simple local stress distributions acting directly on the crack faces and by using the power series expansion and the superposition principle. [88][89][90][91][92][93][94][95][96][97][98][99][100][101][102] Such structural components present double curvature and, because of their complex geometry, have been studied by adopting simple local stress distributions acting directly on the crack faces and by using the power series expansion and the superposition principle.…”

Section: Cracked Round Barsmentioning

confidence: 99%

“…92,93,95,96 Further, the body force method was applied by Chen et al; 94 a linearized shallow shell theory was employed by Liu et al 97 , whereas other researchers used the FEM. 92,93,95,96 Further, the body force method was applied by Chen et al; 94 a linearized shallow shell theory was employed by Liu et al 97 , whereas other researchers used the FEM.…”

Section: Cracked Round Barsmentioning

confidence: 99%

Surface cracks in fatigued structural components: a review

Brighenti

Carpinteri

2013

Fatigue Fract Eng Mat Struct

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Surface cracks are a common occurrence in structural components due to the frequently highest values of the stress at the outer boundary of the body and to the presence of defects. Such flaws can heavily reduce the service life of structural components leading to their premature failure, especially under repeated loading. During last decades, many research works based on theoretical, numerical and experimental techniques have been performed, mainly devoted to the determination of the stress‐intensity factors for recurrent surface crack shapes, different loading types and boundary conditions. Further, fatigue behaviour of surface cracks has been examined through numerical analyses or by simplifying the expected crack growth process. In the present paper, a literature survey is carried out by discussing the main topics related to the safety assessment of structural components with surface cracks under static or fatigue loading.

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Surface cracks in a plate of finite width under extension or bending

Cited by 5 publications

References 12 publications

Surface crack problems in plates

Surface crack problems in plates

Line Spring Model and Its Applications to Part-Through Crack Problems in Plates and Shells

Surface cracks in fatigued structural components: a review

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