English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The boundary equation establishes the relationship between the displacement and the external force on the boundary of a solid. In the short-range interaction approximation, the boundary equation of a half-infinite lattice can be formally derived in lattice statics. Based on a model of cubic lattice, the boundary matrix as the kernal of the boundary equation is studied and calculated. In particular, the boundary matrix is completely presented for quasi one-dimensional problem and the leading order correction to the results in the elastic continuum theory is explicitly determined. The boundary equation can be used to derive the dislocation equation as a generalisation of classical Peierls equation. As an application, the modification of the Peierls equation is obtained and relevant coefficients are successfully related to bulk properties of solids.

Boundary equation from a lattice model and modification of the Peierls equation