Self-similar solutions of fracture dynamics problems on axially symmetry

2001 ◽  
Vol 22 (12) ◽  
pp. 1429-1435 ◽  
Author(s):  
Lü Nian-chun ◽  
Cheng Jin ◽  
Cheng Yun-hong ◽  
Qu De-zhi
Keyword(s):  
Fracture Dynamics ◽  
Axially Symmetry ◽  
Self Similar ◽  
Similar Solutions ◽  
Dynamics Problems ◽  
Fracture Dynamics Problems

Two Fracture Dynamics Problems of Fiber Reinforced Ceramics

2012 ◽  
Vol 512-515 ◽  
pp. 955-958
Author(s):  
Nian Chun Lü ◽  
Yun Hong Cheng ◽  
Jin Li Ji
Keyword(s):  
High Speed ◽  
Fiber Reinforced ◽  
Dynamic Stress Intensity Factors ◽  
Fracture Dynamics ◽  
Self Similar ◽  
Bridging Fibers ◽  
Concrete Solution ◽  
Dynamics Problems ◽  
Fracture Dynamics Problems ◽  
Superposition Theorem

After fiber reinforced ceramics occur a crack, its bridging fibers must engender, moreover the crack usually runs in the format of similarity. In order to analyze easily dynamic problems of fiber reinforced ceramics, bridging fiber segment is substituted for loads. When a crack moves at high speed, its fibers will break continuously. By application of the built dynamic model and the ways of self-similar functions, analytical solutions of the displacements, stresses and dynamic stress intensity factors under the action of a running increasing force Px2/t2 and a motive unit step load, respectively, can be gained, and it is also used to attain the concrete solution by means of superposition theorem.

Fracture dynamics problems of orthotropic solids under anti-plane shear loading

2010 ◽  
Vol 63 (4) ◽  
pp. 793-806 ◽  
Author(s):  
Nian-chun Lü ◽  
Yun-hong Cheng ◽  
Yun-tao Wang ◽  
Jin Cheng
Keyword(s):  
Shear Loading ◽  
Plane Shear ◽  
Fracture Dynamics ◽  
Dynamics Problems ◽  
Orthotropic Solids ◽  
Fracture Dynamics Problems

Fracture dynamics problems of mode I semi-infinite crack for anisotropic orthotropic body

2011 ◽  
Vol 67 (4) ◽  
pp. 2381-2396 ◽  
Author(s):  
N. C. Lü ◽  
Y. H. Cheng ◽  
X. G. Li ◽  
J. Cheng
Keyword(s):  
Mode I ◽  
Orthotropic Body ◽  
Fracture Dynamics ◽  
Dynamics Problems ◽  
Fracture Dynamics Problems

Dislocation Distribution Function of Two Fracture Dynamics Problems Concerning Aluminum Alloys

2008 ◽  
Vol 575-578 ◽  
pp. 1008-1012
Author(s):  
Nian Chun Lü ◽  
Yun Hong Cheng ◽  
Cheng Jin ◽  
Yi Le Chen
Keyword(s):  
Aluminum Alloys ◽  
Hilbert Problem ◽  
Distribution Functions ◽  
Dynamic Stress Intensity Factors ◽  
Dislocation Distribution ◽  
Fracture Dynamics ◽  
Dynamic Propagation ◽  
Complex Functions ◽  
Dynamics Problems ◽  
Fracture Dynamics Problems

By the approaches of the theory of complex functions, dynamic propagation problems on the surfaces of mode I crack subjected to unit-step loads and instantaneous impulse loads located at the origin of the coordinates were studied for Aluminum alloys, respectively. Analytical solutions to stresses, displacements, dynamic stress intensity factors and dislocation distribution functions are gained by the methods of self-similar functions. The problems considered can be very facilely transformed into Riemann-Hilbert problem and their closed solutions are obtained rather straightforward by Muskhelishvili’s measure.

A Fracture Dynamics Model for Fiber Reinforced Ceramics

2010 ◽  
Vol 105-106 ◽  
pp. 34-37 ◽  
Author(s):  
Nian Chun Lü ◽  
Yun Hong Cheng ◽  
Yun Tao Wang
Keyword(s):  
Dynamic Model ◽  
High Speed ◽  
Hilbert Problem ◽  
Dynamic Stress Intensity Factor ◽  
Fiber Reinforced ◽  
Fracture Dynamics ◽  
Self Similar ◽  
Bridging Fibers ◽  
Concrete Solution ◽  
Dynamics Problems

After fiber reinforced ceramics occur a crack, their fibrous position form bridging fibers, moreover a crack usually extends in the modality of similarity. In order to analyze facilely problems of fiber reinforced ceramics, bridging fiber segment is substituted for loads. A dynamic model of crack propagation is built and its fracture dynamics problems are researched by the approaches of self-similar functions. When a crack propagates at high speed its fiber continues to break. By application of the theory of complex functions, the problems dealt with can be easily translated into Remann-Hilbert problem. Using the built dynamic model and the ways of self-similar functions, analytical study of the displacements, stresses, dynamic stress intensity factor and bridging fibrous fracture velocity α under the action of a running constant force P and an running increasing load Pt, respectively, can be attained, and it is also utilized to obtain the concrete solution of the model by means of superposition theorem.

scholarly journals A laser experiment for studying radiative shocks in astrophysics

2002 ◽  
Vol 20 (2) ◽  
pp. 263-268 ◽  
Author(s):  
X. FLEURY ◽  
S. BOUQUET ◽  
C. STEHLÉ ◽  
M. KOENIG ◽  
D. BATANI ◽  
...  
Keyword(s):  
Laser Pulse ◽  
Pulse Duration ◽  
Experimental Results ◽  
Laboratory Astrophysics ◽  
Laser Pulse Duration ◽  
Radiative Shocks ◽  
Self Similar ◽  
Laser Experiment ◽  
Similar Solutions

In this article, we present a laboratory astrophysics experiment on radiative shocks and its interpretation using simple modelization. The experiment is performed with a 100-J laser (pulse duration of about 0.5 ns) which irradiates a 1-mm3 xenon gas-filled cell. Descriptions of both the experiment and the associated diagnostics are given. The apparition of a radiation precursor in the unshocked material is evidenced from interferometry diagrams. A model including self-similar solutions and numerical ones is derived and fairly good agreements are obtained between the theoretical and the experimental results.

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