Dynamic Expansion Problems on Symmetrical Mode III Interface Crack

2011 ◽  
Vol 211-212 ◽  
pp. 1012-1015
Author(s):  
Nian Chun Lü ◽  
Yun Hong Cheng ◽  
Yun Tao Wang
Keyword(s):  
Interface Crack ◽  
Analytical Solutions ◽  
Complex Variable ◽  
Hilbert Problem ◽  
Mode Iii ◽  
Symmetrical Mode ◽  
Arbitrary Complex ◽  
Self Similar ◽  
Superposition Theorem ◽  
Riemann Hilbert Problem

By means of the complex variable functions, dynamic expension problems on symmetrical mode Ⅲ interface crack were researched. The problems considered can be very facilely transformed into Riemann-Hilbert problem by the measures of self-similar functions, and the general expressions of analytical solutions for the edges of mode Ⅲ symmetrical interface crack subjected to motive variable loadings Px2/t3 and Pt4/x3 were obtained by means of self-similar functions, respectively. After those solutions were utilized by superposition theorem, the solutions of arbitrary complex problems could be readily attained.

Symmetrical Dynamic Propagation Problems of Mode III Interface Crack

2013 ◽  
Vol 300-301 ◽  
pp. 806-809
Author(s):  
Nian Chun Lü ◽  
Yun Hong Cheng ◽  
Yun Tao Wang
Keyword(s):  
Interface Crack ◽  
Hilbert Problem ◽  
Mode Iii ◽  
Symmetrical Mode ◽  
Dynamic Propagation ◽  
Complex Functions ◽  
Arbitrary Complex ◽  
Self Similar ◽  
Superposition Theorem ◽  
Riemann Hilbert Problem

By the theory of complex functions, symmetrical dynamic propagation problems of mode Ⅲ interface crack were investigated. The problems considered can be very easily translated into Riemann-Hilbert problem by the methods of self-similar functions, and the universal expressions of analytical solutions for the surfaces of symmetrical mode Ⅲ interface crack subjected to moving alterable loadings Pt3/x3 and Px4/t3 were obtained, respectively. After those solutions were utilized by superposition theorem, the solutions of arbitrary complex problems could be acquired.

Dynamic Propagation Problems on Symmetrical Mode Ⅲ Interface Crack

2011 ◽  
Vol 197-198 ◽  
pp. 1728-1731
Author(s):  
Nian Chun Lv ◽  
Yun Hong Cheng ◽  
Yun Tao Wang
Keyword(s):  
Interface Crack ◽  
Analytical Solutions ◽  
Hilbert Problem ◽  
Symmetrical Mode ◽  
Dynamic Propagation ◽  
Complex Functions ◽  
Arbitrary Complex ◽  
Self Similar ◽  
Superposition Theorem ◽  
Riemann Hilbert Problem

By the theory of complex functions, dynamic propagation problems on symmetrical mode Ⅲ interface crack were researched. The problems considered can be very facilely transformed into Riemann-Hilbert problem by the methods of self-similar functions, and the general expressions of analytical solutions for the surfaces of mode Ⅲ symmetrical interface crack subjected to motive variable loadings Px2/t2 and Pt3/x2 were obtained, respectively. After those solutions were utilized by superposition theorem, the solutions of arbitrary complex problems could be attained.

Symmetrical Dynamic Extension Problems of Mode III Interface Crack

2012 ◽  
Vol 485 ◽  
pp. 327-331
Author(s):  
Nian Chun Lü ◽  
Yun Hong Cheng ◽  
Jin Li Ji
Keyword(s):  
Interface Crack ◽  
Dynamic Stress ◽  
Hilbert Problem ◽  
Intensity Factors ◽  
Mode Iii ◽  
Dynamic Stress Intensity Factors ◽  
Symmetrical Mode ◽  
Arbitrary Complex ◽  
Self Similar ◽  
Superposition Theorem

By the theory of complex variable functions, symmetrical dynamic extension problems of mode Ⅲ interface crack were studied. The problems considered can be very facilely transformed into Riemann-Hilbert problem by the approaches of self-similar functions, and the general 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 variable loadings Px4/t4 and Pt5/x4 were acquired, respectively. After those solutions were applied by superposition theorem, the solutions of arbitrary complex problems could be acquired.

Symmetrical Dynamic Expansion Issues of Mode III Interface Crack

2013 ◽  
Vol 773 ◽  
pp. 649-653
Author(s):  
Nian Chun Lu ◽  
Fang Wang ◽  
Chen Shi
Keyword(s):  
Interface Crack ◽  
Dynamic Stress ◽  
Hilbert Problem ◽  
Intensity Factors ◽  
Mode Iii ◽  
Dynamic Stress Intensity Factors ◽  
Symmetrical Mode ◽  
Arbitrary Complex ◽  
Self Similar ◽  
Superposition Theorem

By means of complex variable functions, symmetrical dynamic extension issues of mode III interface crack were researched. The problems considered can be very facilely transformed into Riemann-Hilbert problem by the approaches of self-similar functions, and the general expressions of analytical solutions of the stresses, displacements and dynamic stress intensity factors for the edges of symmetrical mode III interface crack subjected to motive variable loadingsPt4/x4andPx5/t4were attained, respectively. After those solutions were utilized by superposition theorem, the solutions of arbitrary complex problems could be acquired.

Solution of the Edges of Mode III Asymmetrical Dynamic Interface Crack Subjected to Variable Loads

2009 ◽  
Vol 419-420 ◽  
pp. 709-712
Author(s):  
Xu Luan ◽  
Nian Chun Lü ◽  
Cheng Jin
Keyword(s):  
Interface Crack ◽  
Analytical Solutions ◽  
Hilbert Problem ◽  
Mode Iii ◽  
Dynamic Interface ◽  
Complex Functions ◽  
Self Similar ◽  
Riemann Hilbert Problem

By the approaches of the theory of complex functions, propagation problems concerning mode Ⅲ asymmetrical dynamic interface crack were studied. The problems can be transformed into Riemann-Hilbert problem easily by the measures of self-similar functions, and the universal expressions of analytical solutions of the edges of mode Ⅲ asymmetrical dynamics interface crack subjected to variable loads and respectively, were attained.

Two Dynamic Propagation Problems of Mode III Interface Crack

2011 ◽  
Vol 214 ◽  
pp. 477-481
Author(s):  
Nian Chun Lü ◽  
Yun Hong Cheng ◽  
Yun Tao Wang
Keyword(s):  
Interface Crack ◽  
Dynamic Stress ◽  
Hilbert Problem ◽  
Intensity Factors ◽  
Mode Iii ◽  
Dynamic Stress Intensity Factors ◽  
Dynamic Propagation ◽  
Arbitrary Complex ◽  
Self Similar ◽  
Superposition Theorem

By the approaches of complex variable functions, two dynamic propagation problems of mode Ⅲ interface crack were researched. The problems considered can be very facilely changed into Riemann-Hilbert problem by means of self-similar functions, and analytical solutions of the stresses, displacements, dynamic stress intensity factors for the edges of mode Ⅲ symmetrical dynamix interface crack subjected to moving increasing loads Pt2/x2 and Px3/t2, respectively, were obtained by the methods of self-similar functions. After those solutions were utilized by superposition theorem, the solutions of arbitrary complex problems can be readily attained.

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

2014 ◽  
Vol 607 ◽  
pp. 79-82
Author(s):  
Nian Chun Lü ◽  
Qian Xiang ◽  
Guo Dong Hao ◽  
Yun Tao Wang
Keyword(s):  
Aluminum Alloys ◽  
Interface Crack ◽  
Dynamic Stress ◽  
Hilbert Problem ◽  
Superposition Principle ◽  
Mode Iii ◽  
Dynamic Stress Intensity Factors ◽  
Symmetrical Mode ◽  
Dynamic Propagation ◽  
Self Similar

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.

Dynamic Propagation Problems of Symmetrical Mode III Crack

2014 ◽  
Vol 494-495 ◽  
pp. 444-447
Author(s):  
Jin Li Ji ◽  
Jing Chen ◽  
Chen Shi ◽  
Guo Dong Hao
Keyword(s):  
Stress Intensity Factor ◽  
Dynamic Stress ◽  
Hilbert Problem ◽  
Dynamic Stress Intensity Factor ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Symmetrical Mode ◽  
Dynamic Propagation ◽  
Self Similar ◽  
Riemann Hilbert Problem

By the measures of the theory of complex variable functions, dynamic propagation problems of symmetrical mode III crack were researched. The problems considered can be very facilely translated into Riemann-Hilbert problem by means of self-similar functions, and the analytical solutions of the stress, the displacement and dynamic stress intensity factor under the conditions of motive variational loads Px/t and Pt3/x2 which were applied the surfaces of mode III crack, respectively, were acquired.

Two Dynamic Propagation Problems of Symmetrical Mode III Crack

2010 ◽  
Vol 44-47 ◽  
pp. 693-696
Author(s):  
Nian Chun Lü ◽  
Yun Hong Cheng ◽  
Yun Tao Wang
Keyword(s):  
Dynamic Stress ◽  
Hilbert Problem ◽  
Dynamic Stress Intensity Factor ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Symmetrical Mode ◽  
Dynamic Propagation ◽  
Complex Functions ◽  
Self Similar ◽  
Riemann Hilbert Problem

By the approaches of the theory of complex functions, two dynamic propagation problems of symmetrical mode Ⅲ crack were researched. The problems considered can be very facilely changed into Riemann-Hilbert problem by means of self-similar functions, and the general representations of analytical solutions of the stress, the displacement and dynamic stress intensity factor under the conditions of moving variable loads Pt and Px2/t2 which were applied the edges of mode Ⅲ crack, respectively, were readily acquired.

Dynamic Extension Problems Concerning Symmetrical Mode III Crack

2012 ◽  
Vol 457-458 ◽  
pp. 413-417
Author(s):  
Nian Chun Lü ◽  
Yun Hong Cheng ◽  
Jin Li Ji
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Dynamic Stress ◽  
Hilbert Problem ◽  
Dynamic Stress Intensity Factor ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Symmetrical Mode ◽  
Self Similar ◽  
Riemann Hilbert Problem

By means of the theory of complex variable functions, dynamic extension problems concerning symmetrical mode Ⅲ crack were researched. The problems considered can be very facilely translated into Riemann-Hilbert problem by the measures of self-similar functions, and the general expressions of analytical solutions of the stress, the displacement and dynamic stress intensity factor under the conditions of motive variable loads Px2/t and Pt2/x2 which were applied the surfaces of mode Ⅲ crack, respectively, were gained.

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