Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Symmetries of 2-lattices and second order accuracy of the Cauchy--Born Model

Tools
- Tools
+ Tools

Koten, Brian Van and Ortner, Christoph (2012) Symmetries of 2-lattices and second order accuracy of the Cauchy--Born Model. Working Paper. ArXiv e-prints. ArXiv e-prints (No.1203.5854v1).

Research output not available from this repository.

Request-a-Copy directly from author or use local Library Get it For Me service.

Official URL: http://arxiv.org/pdf/1203.5854v1.pdf

Request Changes to record.

Abstract

We show that the Cauchy{Born model of a singlespecies 2-lattice is second order if the atomistic and continuum kinematics are connected in a novel way. Our proof uses a generalization to 2-lattices of the point symmetry of Bravais lattices.

Moreover, by identifying similar symmetries in multi-species pair interaction models, we construct a new stored energy density, using shift-gradients but not strain gradients, that is also second order accurate.

These results can be used to develop highly accurate continuum models and atomistic/continuum coupling methods for materials such as graphene, hcp metals, and shape memory alloys.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Series Name: ArXiv e-prints
Publisher: ArXiv e-prints
Official Date: 27 March 2012
Dates:
DateEvent
27 March 2012["eprint_fieldopt_dates_date_type_available" not defined]
Number: No.1203.5854v1
Number of Pages: 21
Institution: University of Warwick
Status: Not Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access (Creative Commons)
Funder: PIRE, University of Minnesota Supercomputing Institute, Department of Energy, EPSRC
Grant number: DMS-0757355, DMS-0811039, OISE-0967140, DE-SC0002085, EP/H003096
Related URLs:
  • Publisher

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item
twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us