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Variational issues in the homogenization of discrete systems
- Ricker, S (author)
- Mergheim, J (author)
-
- Menzel, Andreas (author)
- Lund University,Lunds universitet,Hållfasthetslära,Institutionen för byggvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Solid Mechanics,Department of Construction Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Steinmann, P (author)
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- (creator_code:org_t)
- 2007
- 2007
- English.
- In: Multi-scale Computational Methods for Solids and Fluids. ; , s. 186-191
- Conference paper (peer-reviewed)
Abstract
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- The main objective of this work is the application of variational concepts to microscopic multiple particle systems (MPS) which are assigned to corresponding points of a macroscopic continuum. Due to this underlying micro-structure it is not sufficient to simulate the macroscopic behavior with pre-assumed (overall) material parameters, or rather constitutive-law-based standard methods. Therefore, the challenge is to determine macroscopic material behaviors, by means of e.g. stresses and numerical tangent-stiffnesses, based on the analysis of the underlying multiple particle system. With the assistance of the applied variational principle and the so-called continuization, which corresponds to the limit of an infinite number of particles in the system, the analogy of homogenization of discrete and continuous micro-systems is elaborated. Within this work we focus on the so-called computational homogenization scheme, which provides the stage for a coupling between a macroscopic system simulated by the Finite Element Method and different microscopic simulation techniques.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering (hsv//eng)
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- ref (subject category)
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- Mergheim, J
- Menzel, Andreas
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