A Fracture Dynamics Model for Fiber Reinforced Ceramics

Abstract:

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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.

Info:

Periodical:

Advanced Materials Research (Volumes 105-106)

Edited by:

Wei Pan and Jianghong Gong

Pages:

34-37

DOI:

10.4028/www.scientific.net/AMR.105-106.34

Citation:

N. C. Lü et al., "A Fracture Dynamics Model for Fiber Reinforced Ceramics", Advanced Materials Research, Vols. 105-106, pp. 34-37, 2010

Online since:

April 2010

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Price:

$35.00

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