Chaotic Characteristic Analysis of Concrete Fracture System Based on Lyapunov Exponent Stability Criterion

Jun Wei Song

doi:10.4028/www.scientific.net/AMM.423-426.1105

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 423-426Chaotic Characteristic Analysis of Concrete...

Chaotic Characteristic Analysis of Concrete Fracture System Based on Lyapunov Exponent Stability Criterion

Abstract:

According to the research on whole curves of strain-stress of concrete materials, the paper illustrates in evidence features of stages and shows that the discrete feature of curve often occurs in strain-softening stage. After chaotic dynamic analysis of testing datas, it presents that system of whole process of strain-stress evolves from ordered steady state to low chaotic state and then to high chaotic state along with increase of compressive strength. The linear relationship of strain-stress grows evident and the system evolves from strong ordered steady state to low chaos state. The strain-stress system before compressive strength peak is basically in weak chaotic state. Theis proposed to be the stability criterion of concrete features in different stress stages, and the is regarded as the representative value of the system stability degree. The calculation of example shows that the stability criterion definited by the proposed method is consistent with the actural situation.

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Periodical:

Applied Mechanics and Materials (Volumes 423-426)

Pages:

1105-1109

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.423-426.1105

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Online since:

September 2013

Authors:

Jun Wei Song

Keywords:

Chaos, Concrete Materials, Dynamic, Features of Stages, Lyapunov Exponent, Stability Criterion

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