Quasicontinuum Method Combined with Anisotropic Microplane Model

Abstract:

The quasicontinuum method (QC) is a multiscale simulation technique used in computational mechanics. The QC combines fast continuum and exact atomistic approaches. In the present work, the QC idea is applied to particle systems with elastic links representing the material microstructure. The material model based on the idea of microplanes is used to provide a continuous representation of microstructure. In the microplane model, the constitutive relations are defined on planes with various orientations and the macroscopic stress is obtained by integration over all possible directions of microplanes. But this approach do not work well in combination with the QC approach if the microplane orientations are assumed to be uniformly distributed. Therefore, an anisotropic version of the microplane model, which takes into account the specific directions of individual links, is proposed and implemented in finite element solver OOFEM. Accuracy and specific properties of QC-inspired approaches with different types of microplane models are evaluated by comparison with the fully resolved particle model.

• Periodical: Advanced Materials Research (Volume 1144)
• Pages: 142-147
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1144.142
• Online since: March 2017
• Authors: Karel Mikeš*, Milan Jirásek
• Keywords: Fi-Brous Material, Finite Elements, Microplane Model, Multiscale Modeling, Particle Model, Quasicontinuum Method

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