3 papers
math.AP2019
Theoretical Study of Elastic Far-Field Decay from Dislocations in Multilattices
Derek Olson, Christoph Ortner, Yangshuai Wang +1
We precisely and rigorously characterise the decay of elastic fields generated by dislocations in crystalline materials, focusing specifically on the role of multilattices. Concret…
math.NA2016
Force-Based Atomistic/Continuum Blending for Multilattices
Derek Olson, Xingjie Li, Christoph Ortner +1
We formulate the blended force-based quasicontinuum (BQCF) method for multilattices and develop rigorous error estimates in terms of the approximation parameters: atomistic region,…
math.AP2016
Regularity and Locality of Point Defects in Multilattices
Derek Olson, Christoph Ortner
We formulate a model for a point defect embedded in a homogeneous multilattice crystal with an empirical interatomic potential interaction. Under a natural, phonon stability assump…