Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions

Author:

Schröder Jörg,Balzani Daniel,Brands Dominik

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering

Reference33 articles.

1. Balzani, D., Brands, D., Schröder, J., Carstensen, C.: Sensitivity analysis of statistical measures for the reconstruction of microstructures based on the minimization of generalized least-square functionals. In: Technische Mechanik (in press, 2010)

2. Balzani, D., Schröder, J., Brands, D.: FE2-Simulation of microheterogeneous steels based on statistically similar RVE’s. In: Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, September 22–26, 2008, Bochum, Germany, (in press, 2009)

3. Beran M.: Statistical continuum theories. Wiley, New York (1968)

4. Brekelmans W.A.M., Smit R.J.M., Meijer H.E.H.: Prediction of the mechanical behaviour of nonlinear heterogeneous systems by multi-level finite element modelling. Comput. Methods Appl. Mech. Eng. 155, S181–S192 (1998)

5. Bresenham, J.E.: Algorithm for computer control of a digital plotter. In: IBM Systems Journal 4 (1965), Nr. 1, S. 25–30. Reprinted in Interactive Computer Graphics, Herbert Freeman ed., 1980, and Seminal Graphics: Pioneering Efforts That Shaped The Field, Rosalee Wolfe ed., ACM SIGGRAPH, 1998

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