Hybrid atomistic to continuum coupling methods have been developed to obtain the accuracy of atomistic modeling in the neighborhood of crack tips, while using continuum modeling to include long range elastic effects. We will present a survey of recent work to analyze the lattice stability error introduced by atomistic to continuum coupling methods. These error estimates are then utilized to develop accurate blended coupling methods with controllable error. Joint work with Christoph Ortner, Mathew Dobson, Xingjie Helen Li, Derek Olson, and Brian Van Koten.Non UBCUnreviewedAuthor affiliation: University of MinnesotaFacult
The formation and motion of lattice defects such as cracks, dislocations, or grain boundaries, occur...
We present a coupled atomistic-continuum method for the modeling of defects and interface dynamics i...
Abstract. We present a new variant of the geometry reconstruction approach for the formu-lation of a...
Hybrid atomistic to continuum coupling methods have been developed to obtain the accuracy of atomist...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...
Atomistic-to-continuum (a/c) coupling methods are a class of computational multiscale schemes that c...
Atomistic-to-continuum (a/c) coupling methods are a class of computational multiscale schemes that c...
Computational schemes for coarse-graining atomistic models of solids, by concurrent coupling of atom...
This report describes an Engineering Sciences Research Foundation (ESRF) project to characterize and...
Abstract. The accuracy of atomistic-to-continuum hybrid methods can be guaranteed only for deformati...
The present work on the molecular dynamics method covers the theoretical background of the method an...
We formulate and analyze an optimization-based Atomistic-to-Continuum (AtC) coupling method for prob...
The accuracy of atomistic-to-continuum hybrid methods can be guaranteed only for deformations where ...
Abstract. We formulate and analyze an optimization-based Atomistic-to-Continuum (AtC) coupling metho...
The formation and motion of lattice defects such as cracks, dislocations, or grain boundaries, occur...
We present a coupled atomistic-continuum method for the modeling of defects and interface dynamics i...
Abstract. We present a new variant of the geometry reconstruction approach for the formu-lation of a...
Hybrid atomistic to continuum coupling methods have been developed to obtain the accuracy of atomist...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...
Atomistic-to-continuum (a/c) coupling methods are a class of computational multiscale schemes that c...
Atomistic-to-continuum (a/c) coupling methods are a class of computational multiscale schemes that c...
Computational schemes for coarse-graining atomistic models of solids, by concurrent coupling of atom...
This report describes an Engineering Sciences Research Foundation (ESRF) project to characterize and...
Abstract. The accuracy of atomistic-to-continuum hybrid methods can be guaranteed only for deformati...
The present work on the molecular dynamics method covers the theoretical background of the method an...
We formulate and analyze an optimization-based Atomistic-to-Continuum (AtC) coupling method for prob...
The accuracy of atomistic-to-continuum hybrid methods can be guaranteed only for deformations where ...
Abstract. We formulate and analyze an optimization-based Atomistic-to-Continuum (AtC) coupling metho...
The formation and motion of lattice defects such as cracks, dislocations, or grain boundaries, occur...
We present a coupled atomistic-continuum method for the modeling of defects and interface dynamics i...
Abstract. We present a new variant of the geometry reconstruction approach for the formu-lation of a...