Mathematical and numerical multi-scale modelling of multiphysics problems
Journal Title: Computer Assisted Methods in Engineering and Science - Year 2011, Vol 18, Issue 1
Abstract
In this paper we discuss two multi-scale procedures, both of mathematical nature as opposed to purely numerical ones. Examples are shown for the two cases. Attention is also devoted to thermodynamical aspects such as thermodynamic consistency and non-equilibrium thermodynamics. Advances for the first aspect are obtained by adopting the thermodynamically constrained averaging theory TCAT as shown in the case of a stress tensor for multi-component media. The second aspect has allowed to solve numerically, with relative ease, the case of non-isothermal leaching. The absence of proofs of thermodynamic consistency in case of asymptotic theory of homogenization with finite size of the unit cell is also pointed out.
Authors and Affiliations
Bernhard A. Schrefler, Daniela P. Boso, Francesco Pesavento, Dariusz Gawin, Marek Lefik
Keywords
Related Articles
- EP ID EP73971
- DOI -
- Views 153
- Downloads 0
Homogenization of composites with interfacial debonding using duality-based solver and micromechanics. (Received in the final form February 13, 2009).
One of the key aspects governing the mechanical performance of composite materials is debonding: the local separation of reinforcing constituents from matrix when the interfacial strength is exceeded. In this contributio...
On inverse form finding for orthotropic plasticity
Inverse form finding aims to determine the optimum blank design of a workpiece whereby the desired spatial configuration that is obtained after a forming process, the boundary conditions and the applied loads are known....
Multibody approach in suspension system optimization
In this paper an approach of optimization of suspension system parameters is described. Taking into consideration the stiffness and damping coefficients of springs and shock absorbers of a heavy road transport vehicle se...
Sensitivity analysis of transient bioheat transfer with perfusion rate dependent on tissue injury. (Received in the final form January 18, 2010)
The sensitivity analysis of transient temperature field in the tissue domain with respect to its thermophysical parameters is discussed. In particular, the influence of tissue specific heat, thermal conductivity, perfusi...
Application of grammatical evolution to coefficient identification problem in two-dimensional elastic problem
Grammatical evolution (GE), which is a kind of evolutionary algorithms, is designed to find a function, an executable program or program fragment that will achieve a good fitness value for the given objective function to...