Paper Title:
Coupling Continuum and Discrete Models of Materials with Microstructure: A Multiscale Algorithm
  Abstract

The importance of a multiscale modeling to describe the behavior of materials with microstructure is commonly recognized. In general, at the different scales the material may be described by means of different models. In this paper we focus on a specific class of materials for which it is possible to identify (at the least) two relevant scales: a macroscopic scale, where continuum mechanics applies; and a microscale, where a discrete model is adopted. The conceptual framework and the theoretical model were discussed in previous work. This approach is well suited to study multifield and multiphysics problems. We present here the multiscale algorithm and the computer code that we developed to implement this strategy. The solution of the problem is searched for at the macroscale using nonlinear FEM. During the construction of the FE solution, the material behavior needs to be described at Gauss points. This step is performed numerically, formulating an equivalent problem at the microscale where the inner structure of the material is described through a lattice-like model. The two scales are conceptually independent and bridged together by means of a suitable localization-homogenization procedure. We show how different macroscopic models (e.g. Cauchy vs. Cosserat continuum) can be easily recovered starting from the same discrete system but using different bridges. The interest of this approach is shown discussing its application to few examples of engineering interest (composite materials, masonry structures, bone tissue).

  Info
Periodical
Materials Science Forum (Volumes 638-642)
Main Theme
Edited by
T. Chandra, N. Wanderka, W. Reimers , M. Ionescu
Pages
2755-2760
DOI
10.4028/www.scientific.net/MSF.638-642.2755
Citation
V. Sansalone, P. Trovalusci, "Coupling Continuum and Discrete Models of Materials with Microstructure: A Multiscale Algorithm", Materials Science Forum, Vols. 638-642, pp. 2755-2760, 2010
Online since
January 2010
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: S.A. Asgari, Peter D. Hodgson, Vincent Lemiale, C. Yang, Bernard F. Rolfe
Abstract:Advanced High Strength Steels (AHSS) offer outstanding characteristics for efficient and economic use of steel. The unique features of AHSS...
285
Authors: Yu Jie Fan, Jian Zhong Zhou, Shu Huang, Min Wang, Yin Bo Zhu, Ling Ling Hu, Jian Fei Zhao
Abstract:Microscale laser shock peening (μLSP) is a novel surface treating technology which oriented to microscale metal components in MEMS....
221
Authors: Xue Liang Zhao
Abstract:Discrete element method (DEM) is a powerful tool for the study of granular materials. Some issues in numerical modeling of DEM including...
738
Authors: H. Nourbakhsh, R. Mohammadzadeh, M. Rafiee, R. Rafiee
Chapter 22: Metrology and Measurement
Abstract:Nonlinear free and forced oscillation of microscale simply supported beams is investigated in this paper. Introducing a material length scale...
4178
Authors: M. Mahal, T. Blanksvärd, B. Täljsten
Abstract:The fatigue damage of FRP-concrete interface is a major problem in strengthened structures subjected to fatigue loading. The available...
165