Near crack line elastic-plastic analysis for a crack loaded by antiplane point forces

吴承平,; 王成,; Cheng-ping, WU; Wang, Cheng

doi:10.1007/bf02498698

Cited by 7 publications

(4 citation statements)

References 2 publications

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“…(1) and (2), which are hard to determine, are countless. Fortunately, the crack line analysis method has specific merits in mathematics, i.e., the problem of solving partial differential equations can be transformed to the problem of solving ordinary differential equations, through which the general solution of the plastic stresses near the crack line region can be obtained effectively [4,[8][9] .…”

Section: Introductionmentioning

confidence: 99%

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Elastic-plastic analysis of antiplane crack near crack surface region

et al. 2010

Appl. Math. Mech.-Engl. Ed.

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The elastic-plastic stress distribution and the elastic-plastic boundary configuration near a crack surface region are significant but hard to obtain by means of the conventional analysis. A crack line analysis method is developed in this paper by considering the crack surface as an extension of the crack line. The stresses in the plastic zone, the length, and the unit normal vector of the elastic-plastic boundary near a crack surface region are obtained for an antiplane crack in an elastic-perfectly plastic solid. The usual small scale yielding assumptions are not needed in the analysis.

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Section: Introductionmentioning

confidence: 99%

“…The method was used to solve crack problems by Wu and Wang [8] , Wang and Zhang [9] , Wang and Wu [10] , and Wang and Zhou [11] . The significance of the improved crack line method is that the general solution in the power-series form of the plastic field near the crack line can be exactly obtained.…”

Section: Introductionmentioning

confidence: 99%

Elastic-plastic analysis of antiplane crack near crack surface region

et al. 2010

Appl. Math. Mech.-Engl. Ed.

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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%

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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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“…And the small scale yielding conditions have been completely abandoned, and completely new and precise solutions of the elastic-plastic fields of a mode III stationary crack and a model III quasi-statically growing crack with remote antiplane shearing in an elastic-perfectly plastic material have been obtained, respectively. In [3] we analyzed the near crack line elastic-plastic stress and deformation fields for a center crack loaded by a pair of antiplane point forces in an infinite body in an elastic-perfectly plastic material. The solutions in [1--3] are suitable to the plastic zone no matter how large it is.…”

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confidence: 99%

Near crack line elastic-plastic analysis for a finite plate loaded by two pairs of antiplane point forces

Wang

Lukun²

1998

Appl Math Mech

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In this paper, the improved near crack line analysis method proposed in Refs. [I] and [2] I..IntroductionThe near crack line analysis method has been greatly improved by Yi tl' 21. In [1,2], the improved near crack line analysis method has been used to investigate a mode III crack in an elastic-perfectly plastic solid. And the small scale yielding conditions have been completely abandoned, and completely new and precise solutions of the elastic-plastic fields of a mode III stationary crack and a model III quasi-statically growing crack with remote antiplane shearing in an elastic-perfectly plastic material have been obtained, respectively. In [3] we analyzed the near crack line elastic-plastic stress and deformation fields for a center crack loaded by a pair of antiplane point forces in an infinite body in an elastic-perfectly plastic material. The solutions in [1--3] are suitable to the plastic zone no matter how large it is.The elastic-plastic analysis for a cracked plate with finite dimensions is one of the most difficult fields of Elastic-Plastic Mechanics. In this paper, we use the improved near crack line analysis method to analyze the near crack line elastic-plastic Stress and deformation fields for a center crack loaded by two pairs of antiplane point forces in a finite body in an elasticperfectly plastic material. This problem often exists in the practical engineering and is easily investigated with experiment, so the investigation of the problem is important both on the theory and in the applications. Similar to Ref. [1--3], the assumptions of small scale yielding theory have been given up and no other assumptions have been taken. So the results of this paper are sufficiently precise near the crack line region. However, we" found that the t Chongqing Jiaotong Institute,

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Near crack line elastic-plastic analysis for a crack loaded by antiplane point forces

Cited by 7 publications

References 2 publications

Elastic-plastic analysis of antiplane crack near crack surface region

Elastic-plastic analysis of antiplane crack near crack surface region

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Near crack line elastic-plastic analysis for a finite plate loaded by two pairs of antiplane point forces

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