2001/06/28 by E Weinan, Weinan E, Zhongyi Huang · 2 citations
Engineering · Materials Science · Physics and Astronomy · #Advanced ceramic materials synthesis #Composite Material Mechanics #Microstructure and mechanical properties #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevlett.87.135501
6 pages, 4 figures
arxiv created 2001/06/28 · openalex publication_date 2001/09/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new class of matching conditions between the atomistic and continuum regions is presented for the multiscale modeling of crystals. They ensure the accurate passage of large scale information between the atomistic and continuum regions and at the same time minimize the reflection of phonons at the interface. These matching conditions can be made adaptive if we choose appropriate weight functions. Applications to dislocation dynamics and friction between two-dimensional atomically flat crystal surfaces are described.