An asymmetrical dynamic model for bridging fiber pull-out of unidirectional composite materials

Lu, Naiji; Cheng, Yun Hong; Li, X. G.; Cheng, Jin

doi:10.1007/s11012-011-9509-y

Cited by 4 publications

(1 citation statement)

References 46 publications

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“…For interface crack moving issues along bi-material, some researchers [9][10][11] thought it had singularity of the order of r -1/2 , while others thought it had else singularity [12]; even if it is so, the measures are still applicable in the paper. When bi-material is the same, the problems will reduce to them for a kind of material, details of which are illuminated in the literatures [13][14]. When we resolve the problems of material one, after putting the first of Eq.…”

Section: Discussionmentioning

confidence: 99%

Dynamic Propagation Problems Concerning Symmetrical Mode III Interface Crack of Aluminum Alloys

Xiang

Hao

et al. 2014

AMM

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By application of the theory of complex variable functions, dynamic propagation problems concerning symmetrical mode III interface crack of Aluminum alloys were investigated. The problems dealt with can be very facilely translated into Riemann-Hilbert problem by the approaches of self-similar functions, and the universal representations of analytical solutions of the stresses, displacements and dynamic stress intensity factors for the surfaces of symmetrical mode III interface crack subjected to motive increasing loadings Pt5/x5 and Px6/t5 were attained, respectively. After those solutions were utilized by superposition principle, the solutions of discretionally complicated problems could be easily acquired.

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Section: Discussionmentioning

confidence: 99%

Dynamic Propagation Problems Concerning Symmetrical Mode III Interface Crack of Aluminum Alloys

Xiang

Hao

et al. 2014

AMM

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Phenomenological and numerical modelling of short fibre reinforced cementitious composites

et al. 2014

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Dynamic solutions of mode III crack in copper matrix composites

LüNianchun

Xiangqian

HaoGuodong

et al. 2017

Emerging Materials Research

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By utilising the methods of the theory of complex variable functions, dynamic propagation problems on symmetrical mode III crack in copper matrix composite materials were analysed. The crack extension should also appear in the form of self-similarity because failure is ascertained by the maximum tensile stress in actual engineering structions and everyday applications occurring in usually dynamic conditions. The formulation and the development of a Riemann–Hilbert problem were involved in this kind of issue. According to self-similar functions, the queries considered in this paper can be very easily translated into a Riemann–Hilbert problem. Analytical solutions of stresses, displacements and dynamic stress intensity factors K 3(t) for the edges of symmetrical mode III crack, subjected to motive alterable loads, P x 5/t 5 and P t 6/x 5 were obtained. In view of the relative material properties, the changeable law of dynamic stress intensity factor was illustrated very well. After the solutions were applied by the use of the superposition principle, the solutions of discretionally complicated problems were easily acquired.

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An asymmetrical dynamic model for bridging fiber pull-out of unidirectional composite materials

Cited by 4 publications

References 46 publications

Dynamic Propagation Problems Concerning Symmetrical Mode III Interface Crack of Aluminum Alloys

Dynamic Propagation Problems Concerning Symmetrical Mode III Interface Crack of Aluminum Alloys

Phenomenological and numerical modelling of short fibre reinforced cementitious composites

Dynamic solutions of mode III crack in copper matrix composites

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