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Ubiquitiformal fracture energy

Ou Z.-C., Yang M., Li G.-Y., Duan Z.-P., Huang F-L.

Journal of Theoretical and Applied Mechanics

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2017

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Vol. 55 nr 3

1101--1108

EN

The ubiquitiformal fracture energy is proposed in the paper and its explicit expression is obtained. Moreover, the numerical results for concrete are found to be in good agreement with those for the critical strain energy release rate. The discrepancy between the numerical results of the traditional fracture energy and the critical strain energy release rate can be explained reasonably, which implies that the ubiquitiformal fracture energy should be taken as an available fracture parameter of materials. Finally, it is numerically found for some concrete that there is not size effect for the ubiquitiformal fracture energy.

2

Ubiquitiform in applied mechanics

Ou Z.-C., Li G.-Y., Duan Z.-P., Huang F-L.

Journal of Theoretical and Applied Mechanics

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2014

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Vol. 52 nr 1

37--46

EN

We demonstrate that a physical object in nature should not be described as a fractal, despite an ideal mathematical object, rather a ubiquitiform (a terminology coined here for a finite order self-similar or self-affine structure). It is shown mathematically that a ubiquitiform must be of integral dimension, and that the Hausdorff dimension of the initial element of a fractal changes abruptly at the point at infinity, which results in divergence of the integral dimensional measure of the fractal and makes the fractal approximation to a ubiquitiform unreasonable. Therefore, instead of the existing fractal theory in applied mechanics, a new type of ubiquitiformal one is needed.

3

Codebook Partition Based Steganography without Member Restriction

Chiang Y-K., Tsai P., Huang F-L.

Fundamenta Informaticae

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2008

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Vol. 82, nr 1-2

15-27

EN

The practice of concealing secret messages into index-based images has generally suffered from problems of image quality degradation and hiding capacity restriction. A steganographic scheme using an improved codebook partition is proposed in this paper. The proposed scheme partitions the codebook into different member sub-clusters in terms of their similarity between the codewords for increasing the hiding capacity and reducing the image distortion. Any size of a sub-cluster was allowed in the proposed scheme, so as to improve the traditional approaches in which the size of a sub-cluster was restricted to the power of two. As a result of this revised scheme, an increased hiding capacity and a reduction in image distortion are obtained, as indicated from experimental results. The average performance of the proposed scheme is superior to that of those standard methods.