New boundary element method for torsion problems of cylinder with curvilinear cracks

王银邦,; 陆孜子,

doi:10.1007/bf03246261

Cited by 19 publications

(9 citation statements)

References 2 publications

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“…The variation of the crack dimensionless SIF and the torsional rigidity with u are plotted in Figures 5 and 6, respectively. As can be seen, the results of the present work are very nearly matching with those extracted from Wang and Lu [13], especially for dimensionless torsional rigidity. As has been written in Wang and Lu [13], the SIF has been nondimensionalized by divisor k 0 = mMR ffiffiffiffiffiffi pa p =D 0 , in which similar to the previous example, there is one more coefficient ffiffiffi ffi p p in the definition of the SIF in Wang and Lu [13].…”

Section: Example 3: Torsion Of a Bar With An Eccentric Circular Cracksupporting

confidence: 90%

“…Comparison between the numerical results of the present study and Yuanhan[5].μMR √πθ e/R=0.2,Present work e/R=0.2,Reference[13] e/R=0.4,Present work e/R=0.4,Reference[13] …”

mentioning

confidence: 83%

“…The Saint-Venant torsion problems of a cylinder with curvilinear cracks were the subject of study by Wang and Lu [13]. Using the BEM, the problems were reduced to the solution of the boundary integral equations only on the crack borders, which are solved numerically.…”

Section: Introductionmentioning

confidence: 99%

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Saint-Venant torsion of orthotropic bars with a circular cross-section containing multiple cracks

Hassani

Faal

2016

Mathematics and Mechanics of Solids

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In this paper, the problem of the circular orthotropic bars with multiple cracks is investigated based on the Saint-Venant torsion theory. The solution to the problem of an orthotropic bar weakened by a Volterra-type screw dislocation is first obtained by means of the finite Fourier sine transform. In this research, the bar is assumed to be subjected to an axial net torsion when finding the dislocation solution. The closed form solution is then derived for displacement and stress fields in the bar. At the next step, the dislocation solution is employed to derive a set of Cauchy singular integral equations for analysis of the circular bar with curved cracks. The solution to these equations is used to determine the torsional rigidity of the bar and the stress intensity factors of the tips of the cracks. The paper is furnished with several examples of a single crack and multiple cracks.

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Section: Example 3: Torsion Of a Bar With An Eccentric Circular Cracksupporting

confidence: 90%

“…Comparison between the numerical results of the present study and Yuanhan[5].μMR √πθ e/R=0.2,Present work e/R=0.2,Reference[13] e/R=0.4,Present work e/R=0.4,Reference[13] …”

mentioning

confidence: 83%

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Saint-Venant torsion of orthotropic bars with a circular cross-section containing multiple cracks

Hassani

Faal

2016

Mathematics and Mechanics of Solids

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“…For an external torsion column Ω 1 , the boundary integral formula on S 2 can be expressed as (Wang and Lu, 2005) …”

Section: New Boundary Integral Equationsmentioning

confidence: 99%

Fracture analysis for torsion problems of a gravity platform column with cracks under wind load

Pan

Yin-bang

Zhou

2010

J. Ocean Univ. China

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Ocean platforms are subjected to a variety of environment loads, such as those from winds, waves, currents, etc. In this study, the torsion problems of a gravity platform column with cracks under wind load were investigated. The column was assumed to be a composite cylinder. Therefore the torsion fracture problem of a composite cylinder was considered, and new boundary integral equations for the Saint-Venant torsion problem of a composite cylinder with curvilinear cracks were derived. The problem was reduced to solving the boundary integral equations on every boundary. By using the new boundary element method, the torsion problem of the gravity platform column with a straight crack under various wind loads was calculated. The obtained results were compared with those obtained for a torsion problem of the same column without cracks to prove the applicability of the present method. The comparison showed that the detrimental effect of cracks in a column should be considered in marine engineering.

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“…The Saint-Venant torsion problems of a cylinder with curvilinear cracks were the subject of study by Wang and Lu (2005). Using the boundary element method, the problem was reduced to the solution of boundary integral equations only on cracks borders which are solved numerically.…”

Section: Introductionmentioning

confidence: 99%

Saint-Venant torsion of orthotropic bars with rectangular cross section weakened by cracks

Hassani

Faal

2015

International Journal of Solids and Structures

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a b s t r a c tThe solution to problem of a Volterra-type screw dislocation in an orthotropic bar with rectangular cross section is first obtained by means of a finite Fourier cosine transform. The bar is under axial torque which is governed by the Saint-Venant torsion theory. The series solution is then derived for displacement and stress fields in the bar cross section. The dislocation solution is employed to derive a set of Cauchy singular integral equations for the analysis of curved cracks. The solution to these equations is used to determine the torsional rigidity of bar and the stress intensity factors (SIFs) for the tips of the cracks. Several examples of a single straight crack and an arc-crack are solved. Furthermore, the interaction between two cracks is studied. Finally, the stress components around an inclined edge crack tip are used to define the boundary of the plastic region employing von Mises yield criterion.

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New boundary element method for torsion problems of cylinder with curvilinear cracks

Cited by 19 publications

References 2 publications

Saint-Venant torsion of orthotropic bars with a circular cross-section containing multiple cracks

Saint-Venant torsion of orthotropic bars with a circular cross-section containing multiple cracks

Fracture analysis for torsion problems of a gravity platform column with cracks under wind load

Saint-Venant torsion of orthotropic bars with rectangular cross section weakened by cracks

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