Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces: a 2D model problem
arXiv:1110.0168
Abstract
We present a new variant of the geometry reconstruction approach for the formulation of atomistic/continuum coupling methods (a/c methods). For multi-body nearest-neighbour interactions on the 2D triangular lattice, we show that patch test consistent a/c methods can be constructed for arbitrary interface geometries. Moreover, we prove that all methods within this class are first-order consistent at the atomistic/continuum interface and second-order consistent in the interior of the continuum region.
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Cited by in corpus (7)
- Consistent Energy-based Atomistic/Continuum Coupling for Two-body Potentials in Three Dimensions
- Theory-based Benchmarking of the Blended Force-Based Quasicontinuum Method
- Atomistic/Continuum Blending with Ghost Force Correction
- Energy-Based Atomistic-to-Continuum Coupling Without Ghost Forces
- On atomistic-to-continuum couplings without ghost forces in three dimensions
- Positive-Definiteness of the Blended Force-Based Quasicontinuum Method
- Formulation and optimization of the energy-based blended quasicontinuum method