A review of limit load solutions for cylinders with axial cracks and development of new solutions

Lei, Yuebao

doi:10.1016/j.ijpvp.2008.09.001

Cited by 27 publications

(8 citation statements)

References 19 publications

(74 reference statements)

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“…Increasing such area produced higher bar resistance to the loading applied and then reducing Jintegral along the crack front. According to literature survey (Lei, 2008), there are no solution for h-function subjected to mode III loading currently. Therefore, no validation of the present results can be conducted and it is solely dependent on the validation using elastic results such as stress intensity factors as in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…The symbol of h represents as fully plastic calibration and it is also called h-function. Moreover, Lei (2008) stated that the h-function solution for a surface crack in round bar is limited and lot of works need to be conducted. In order to determine h-function, a relationship between J-integral obtained using finite element method, J p-FE and normalizing plastic J-integral, J p-normal is plotted.…”

Section: J-integral Estimation: J-integral Firstly Introduced Bymentioning

confidence: 99%

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J-Integral Evaluation of Surface Cracks in Round Bar under Mode III Loadings

Ismail¹,

Ariffin²,

Abdullah³

et al. 2014

RJASET

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Fracture mechanics approach has successfully used to characterize the existing cracks in engineering materials and structures. Tremendous number of publications on surface cracks can be found for crack behaviour which was assumed to behave linear elastic. However, lack of information on elastic-plastic crack behaviour or Jintegral was demanded especially for 3D surface cracks. In this present study, semi-elliptical surface cracks embedded in a solid round bar subjected to mode III loadings are considered. Then, J-integral or h-function and limit load were determined and analyzed. In order to predict J-integral along the crack front, a mathematical model was then developed. It is found that the developed model capable to predict J-integral well. However, the predictions breakdown occurred when the elastic dominated region of cracks.

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Section: Resultsmentioning

confidence: 99%

Section: J-integral Estimation: J-integral Firstly Introduced Bymentioning

confidence: 99%

J-Integral Evaluation of Surface Cracks in Round Bar under Mode III Loadings

Ismail¹,

Ariffin²,

Abdullah³

et al. 2014

RJASET

View full text Add to dashboard Cite

show abstract

“…Maka, kamiran-J digunakan untuk menganalisis keadaan tersebut. Terdapat banyak analisis kamiran-J yang dijalankan terutamanya plat 5 dan rod berongga atau paip 6 , tetapi analisis yang melibatkan bar silinder padu amat jarang didapati dan terhad kepada beberapa bentuk dan geometri retak yang tertentu sahaja 2 . Kelakuan retak permukaan pada rod silinder padu dengan menggunakan kamiran-J masih lagi dalam peringkat penyelidikan termasuklah yang dikenakan beban ragam I, III dan gabungannya 7,8 .…”

Section: 10 Pengenalanunclassified

Ungkapan Kamiran-J Retak Permukaan pada Bar Silinder Padu Kenaan Beban Ragam I

et al. 2014

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In this study, J-integral expression for surface crack in solid cylindrical bars subjected to mode I loadings were developed and analysed. These expressions were used to predict J-integral along the crack front for semi-elliptical crack shaped which different in sizes and geometries. One of the advantages of these expression were to accelerate any large deformation analysis generally which takes longer computational time. Finite element analysis was used to determine a fully plastic parameter called h-function. There were two types of mode I loading used in this work namely tensile force and bending moment. Results found that J-integral predictions were succesfully conducted. However, the predictions were dependent on the crack parameters used. Increasing the crack depth, J-integral prediction required different limit load for different position along the crack front. For the case of shallow cracks, J-integral determinations can be implemented succesfully except for the case of position in the vicinity of the outer points.

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“…This phenomenon is known as the discontinuous effect: the total stress near the connection region between the cylinder and head increases, rendering it prone to strength failure 6 – 10 . In this context, analysing the stress near the connection between the cylinder and head is of economic and social significance 11 , 12 .…”

Section: Introductionmentioning

confidence: 99%

Stress analysis and applicability analysis of the elliptical head

Wang

Zhang

Chen

et al. 2021

Sci Rep

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As the main pressure components of pressure vessels, the mechanical performance of cylinders and heads affects the normal operation of pressure vessels. At present, no unified theoretical formula exists for the connection region between an elliptical head and the cylinder. Therefore, the authors consider the standard elliptical head as the research object. First, the theoretical stress calculation formula is deduced according to the deformation continuity equation. Second, the stress is experimentally measured using an internal-pressure thin-walled-vessel stress measurement device, and the theoretical and experimental stress values in the discontinuous region between the elliptical head and cylinder are analysed and compared to verify the accuracy and applicability of the theoretical stress calculation formula. The results show that the theoretical stress calculation formula in the discontinuous region between the elliptical head and cylinder is valid. By comparing and analysing the theoretical and experimental stress values, the accuracy and applicability of the theoretical stress calculation formula in the discontinuous region are verified. The findings can provide guidance for the stress measurement of internal-pressure vessels.

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A review of limit load solutions for cylinders with axial cracks and development of new solutions

Cited by 27 publications

References 19 publications

J-Integral Evaluation of Surface Cracks in Round Bar under Mode III Loadings

J-Integral Evaluation of Surface Cracks in Round Bar under Mode III Loadings

Ungkapan Kamiran-J Retak Permukaan pada Bar Silinder Padu Kenaan Beban Ragam I

Stress analysis and applicability analysis of the elliptical head

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