Precise solutions of elastic-plastic crack line fields for cracked plate loaded by antiplane point forces

Yi, Zhihua; Wang, Shijie; Xiang-jian, Wang

doi:10.1016/s0013-7944(97)00003-9

Cited by 23 publications

(4 citation statements)

References 6 publications

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“…Substituting Eq. 1 into the plate equilibrium differential equation and the Tresca yield condition [1,2] , and then by comparing the coefficients of the same power, a set of ordinary differential equations can be obtained. The concrete form of…”

Section: Elastic-plastic B Oun Darymentioning

confidence: 99%

“…Because the boundary condition results in complexity to the elasto-plastic analysis for finite width cracked plates, the elasto-plastic field analysis remains one of the most difficult problems in elasto-plastic fracture analysis. Some research works [1][2][3][4][5][6] have fundamentally improved the line-field method to obtain exact solution of infinite width cracked plate. Without the small scale yielding condition, the method is very effective for the elastic-plastic analysis of finite width cracked plate.…”

Section: Introductionmentioning

confidence: 99%

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Elasto-Plastic Fracture Analysis of Finite-Width Cracked Stiffened Plate

Deng

Pan

Dong

et al. 2014

AMM

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Thispaper adopts the crack line-field method to analyze finite-width stiffenedplates with central through I-type crack under uniaxial tensile loading. Themethod completely abandons the small scale yield hypothesis. The plastic stressand strain fields at crack tips and the plastic-zone length can be accurately determinedby combining with equivalent shear stress of Westergaard stress function in theposition of stiffener. It can be seen from the illustrative example that theresults of the paper agree well with those by finite element method.

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Section: Elastic-plastic B Oun Darymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Elasto-Plastic Fracture Analysis of Finite-Width Cracked Stiffened Plate

Deng

Pan

Dong

et al. 2014

AMM

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show abstract

“…The crack line analysis method was improved in [Yi 1993;1994;Yi et al 1996;1997;Yi and Yan 2001], and has been used to solve other crack problems Wang and Zhang 1998;Wang and Wu 2003;Wang and Zhou 2004;Zhou and Wang 2005;Zhou and Ling 2006]. The method also applies well to linear elastic fracture mechanics and has been developed into an effective way of solving the stress intensity factors of cracks [Yi 1991;1992;2002].…”

Section: Statement Of the Hult-mcclintock Solutionmentioning

confidence: 99%

Revisiting the Hult–McClintock closed-form solution for mode III cracks

2010

J. Mech. Mater. Struct.

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The well-known closed-form solution given by Hult and McClintock for an antiplane crack in an elasticperfectly plastic material is reconsidered using the crack line analysis method. A precise elastic-plastic solution near the crack line region, different from Hult and McClintock's, is deduced by matching the general solution of the plastic field with that of the exact elastic field. It is verified from the deduction that the Hult-McClintock elastic-plastic solution is inadequate for many purposes.

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“…The crack line analysis method was improved in [Yi 1993;Yi et al 1996;1997;Yi and Yan 2001], and has been used to solve other crack problems Wang and Zhang 1998;Wang and Wu 2003;Wang and Zhou 2004;Zhou and Wang 2005;Zhou and Ling 2006]. The method also applies well to linear elastic fracture mechanics and has been developed into an effective way of solving the stress intensity factors of cracks [Yi 1991;2002].…”

Section: Introductionmentioning

confidence: 99%

Untitled

2010

J. Mech. Mater. Struct.

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A semianalytical solution is presented for bending of moderately thick fully clamped laminated doubly curved panels using the extended Kantorovich method (EKM). The panel is subjected to uniform and nonuniform distributed loading and cut from a rectangular platform. Based on the first-order shear deformation theory, five highly coupled second-order partial differential equations in terms of displacement components are derived. Assuming separable functions for panel displacements together with the EKM converts the governing equations into double sets of ordinary differential equations with constant coefficients in terms of x and y. The resulting ODE systems are then solved iteratively until a level of prescribed convergence is achieved. Closed-form solutions can be presented for ODE systems in each iteration. Efficiency and rapid convergence of the solution technique are examined using several examples. Predictions of both deflection and stress resultants show very good agreement with other available results in the literature. It is also shown that the same formulation and solution method can be used to obtain results for spherical and cylindrical panels and rectangular plates.

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Precise solutions of elastic-plastic crack line fields for cracked plate loaded by antiplane point forces

Cited by 23 publications

References 6 publications

Elasto-Plastic Fracture Analysis of Finite-Width Cracked Stiffened Plate

Elasto-Plastic Fracture Analysis of Finite-Width Cracked Stiffened Plate

Revisiting the Hult–McClintock closed-form solution for mode III cracks

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