Open Access
MATEC Web Conf.
Volume 67, 2016
International Symposium on Materials Application and Engineering (SMAE 2016)
Article Number 03050
Number of page(s) 5
Section Chapter 3 Information Technology
Published online 29 July 2016
  1. T.J. Hirsch, Modulus of elasticity of concrete affected by elastic moduli of cement paste matrix and aggregate, J. Am. Concr. Inst. 59 (1962) 427–452.
  2. U. J. Counto, The effect of the elastic modulus of the aggregate on the elastic modulus, creep and creep recovery of concrete. Mag. Concr. Res. 16 (1964) 129–138. [CrossRef]
  3. B. B Mandelbrot, How long is the coast of Britain? Statistical self-similarity and fractional dimension, Science 156 (1967) 721–722. [CrossRef] [PubMed]
  4. A. Carpinteri, P. Cornettri, A Fractional Calculus Approach to the Description of Stress and Strain Localization in Fractal Media. Chaos, Solitons Fractals 13 (2002) 85–94.
  5. K. Davey, M. T. Alonso Rasgado, Analytical solutions for vibrating fractal composite rods and beams. Applied Mathematical Modelling 35 (2011) 1194–1209. [CrossRef]
  6. Z. C. Ou, G. Y. Li, Z. P. Duan, F. L. Huang, Ubiquitiform in applied mechanics, J. Mec. Theor. Appl. 52 (2014) 37–46.
  7. G. Y. Li, Z. C. Ou, R. Xie, Z. P. Duan, F. L. Huang, A ubiquitiformal one-dimensional steady-state conduction model for a cellular material rod Int. J. Thermophys. 37:47 (2016) 1–13. [CrossRef]
  8. A. F. Stock, D. J. Hannant, R. I. T. Williams, The effect of aggregate concentration upon the strength and modulus of elasticity of concrete, Mag. Concr. Res. 31 (1979) 225–234. [CrossRef]
  9. G. Y. Li, Research on basic theory of ubiquiti form and some aspects of its application, Beijing institute of Technology, Beijing (2014). (in Chinese)
  10. A. Carpinteri, B. Chiaia, P. Cornetti, On the mechanics of quasi-brittle materials with a fractal microstructure, Eng. Fract. Mech. 70 (2003) 2321–2349. [CrossRef]