American Institute of Mathematical Sciences

Advanced
December  2014, 9(4): i-ii. doi: 10.3934/nhm.2014.9.4i

Preface to ``The Mathematics of Concrete"

Adrian Muntean 1, and  Toyohiko Aiki 2,

1. 

Department of Mathematics and Computer Science, CASA - Center for Analysis, Scientific computing and Applications, ICMS - Institute for Complex Molecular Systems, Eindhoven University of Technology, Eindhoven
2. 

Japan Women’s University, Department of Mathematics and Physics, Faculty of Science, Tokyo, Japan

Published  December 2014

Although the concrete is a simple man-made material with initially-controlled composition (for instance, all ingredients are known beforehand, the involved chemical mechanisms are well studied, the mechanical strength of test samples is measured accurately), forecasting its behaviour for large times under variable external (boundary) conditions is not properly understood. The main reason is that the simplicity of the material is only apparent. The combination of the heterogeneity of the material together with the occurrence of a number of multiscale phase transitions either driven by aggressive chemicals (typically ions, like in corrosion situations), or by extreme heating, or by freezing/thawing of the ice lenses within the microstructure, and the inherent non-locality of the mechanical damage leads to mathematically challenging nonlinear coupled systems of partial differential equations (PDEs).

For more information please click the “Full Text” above.
Citation: Adrian Muntean, Toyohiko Aiki. Preface to ``The Mathematics of Concrete". Networks & Heterogeneous Media, 2014, 9 (4) : i-ii. doi: 10.3934/nhm.2014.9.4i
[1]

Alain Miranville, Ulisse Stefanelli, Lev Truskinovsky, Augusto Visintin. Preface: Applications of mathematics to mechanics. Discrete & Continuous Dynamical Systems - S, 2017, 10 (1) : ⅰ-ⅱ. doi: 10.3934/dcdss.201701i
[2]

Andrea L. Bertozzi. Preface to special issue on mathematics of social systems. Discrete & Continuous Dynamical Systems - B, 2014, 19 (5) : i-v. doi: 10.3934/dcdsb.2014.19.5i
[3]

Michal Beneš, Tetsuya Ishiwata, Takashi Sakamoto, Shigetoshi Yazaki. Preface: Special Issue on recent topics in industrial and applied mathematics. Discrete & Continuous Dynamical Systems - S, 2015, 8 (5) : i-i. doi: 10.3934/dcdss.2015.8.5i
[4]

Shixin Xu, Xingye Yue, Changrong Zhang. Homogenization: In mathematics or physics?. Discrete & Continuous Dynamical Systems - S, 2016, 9 (5) : 1575-1590. doi: 10.3934/dcdss.2016064
[5]

Barbara Kaltenbacher. Mathematics of nonlinear acoustics. Evolution Equations & Control Theory, 2015, 4 (4) : 447-491. doi: 10.3934/eect.2015.4.447
[6]

Jinling Wei, Jinming Zhang, Meishuang Dong, Fan Zhang, Yunmo Chen, Sha Jin, Zhike Han. Applications of mathematics to maritime search. Discrete & Continuous Dynamical Systems - S, 2019, 12 (4&5) : 957-968. doi: 10.3934/dcdss.2019064
[7]

Eduard Feireisl, Mirko Rokyta, Josef Málek. Preface. Discrete & Continuous Dynamical Systems - S, 2008, 1 (3) : i-iii. doi: 10.3934/dcdss.2008.1.3i
[8]

Carlos Castillo-Chavez, Gerardo Chowell. Preface. Mathematical Biosciences & Engineering, 2011, 8 (1) : i-vi. doi: 10.3934/mbe.2011.8.1i
[9]

Christian Kanzow, Dong-Hui Li, Nobuo Yamashita. Preface. Numerical Algebra, Control & Optimization, 2011, 1 (1) : i-v. doi: 10.3934/naco.2011.1.1i
[10]

Zhaosheng Feng, Wei Feng. Preface. Discrete & Continuous Dynamical Systems - S, 2014, 7 (6) : i-i. doi: 10.3934/dcdss.2014.7.6i
[11]

P. De Maesschalck, Freddy Dumortier, Martin Wechselberger. Preface. Discrete & Continuous Dynamical Systems - S, 2009, 2 (4) : i-iii. doi: 10.3934/dcdss.2009.2.4i
[12]

Cheng-Chew Lim, Song Wang. Preface. Journal of Industrial & Management Optimization, 2008, 4 (1) : i-ii. doi: 10.3934/jimo.2008.4.1i
[13]

Thorsten Koch, Xiaoling Sun. Preface. Numerical Algebra, Control & Optimization, 2012, 2 (4) : i-ii. doi: 10.3934/naco.2012.2.4i
[14]

Urszula Ledzewicz, Marek Galewski, Andrzej Nowakowski, Andrzej Swierniak, Agnieszka Kalamajska, Ewa Schmeidel. Preface. Discrete & Continuous Dynamical Systems - B, 2014, 19 (8) : i-ii. doi: 10.3934/dcdsb.2014.19.8i
[15]

Vadim Kaloshin, Sergey Lototsky, Michael Röckner. Preface. Discrete & Continuous Dynamical Systems - B, 2006, 6 (4) : i-ii. doi: 10.3934/dcdsb.2006.6.4i
[16]

Eduard Feireisl, Josef Málek, Mirko Rokyta. Preface. Discrete & Continuous Dynamical Systems - S, 2010, 3 (3) : i-ii. doi: 10.3934/dcdss.2010.3.3i
[17]

Chaudry Masood Khalique, Maria Luz Gandarais, Mufid Abudiab. Preface. Discrete & Continuous Dynamical Systems - S, 2018, 11 (4) : i-ii. doi: 10.3934/dcdss.201804i
[18]

Zhouping Xin, Tong Yang. Preface. Discrete & Continuous Dynamical Systems - S, 2016, 9 (6) : i-ii. doi: 10.3934/dcdss.201606i
[19]

Noureddine Alaa, Marc Dambrine, Antoine Henrot, Alain Miranville. Preface. Communications on Pure & Applied Analysis, 2012, 11 (6) : i-ii. doi: 10.3934/cpaa.2012.11.6i
[20]

Wei Kang, Liang Ke, Qi Wang. Preface. Discrete & Continuous Dynamical Systems - B, 2007, 8 (3) : i-i. doi: 10.3934/dcdsb.2007.8.3i

2018 Impact Factor: 0.871

Tools

Metrics

  • PDF downloads (21)
  • HTML views (0)
  • Cited by (0)

Other articles
by authors

[Back to Top]

Copyright © 2020 American Institute of Mathematical Sciences