Logo RUB
  • Institute
    • ICAMS
      • Mission
      • Structure
      • Members
      • Fellows
    • Departments & Research Groups
      • Atomistic Modelling and Simulation
      • Scale-Bridging Thermodynamic and Kinetic Simulation
      • Micromechanical and Macroscopic Modelling
      • Artificial Intelligence for Integrated Material Science
      • Computational Design of Functional Interfaces
      • Scale-Bridging Simulation of Functional Composites
      • Materials Informatics and Data Science
      • High-Performance Computing in Materials Science
    • Central Services
      • Coordination Office
      • IT
  • Research
    • Overview
    • Publications
    • Software and Data
    • Collaborative research
    • Research networks
    • Young enterprises
  • Teaching
    • Overview
    • Materialwissenschaft B.Sc.
    • Materials Science and Simulation M.Sc.
    • ICAMS Graduate School
    • Student Projects
  • News & Events
    • Overview
    • News
    • Seminars and Workshops
    • Conferences
  • Services
    • Overview
    • Contact
    • Open positions
    • Travel information
 
ICAMS
ICAMS
MENÜ
  • RUB-STARTSEITE
  • Institute
    • ICAMS
    • Departments & Research Groups
    • Central Services
  • Research
    • Overview
    • Publications
    • Software and Data
    • Collaborative research
    • Research networks
    • Young enterprises
  • Teaching
    • Overview
    • Materialwissenschaft B.Sc.
    • Materials Science and Simulation M.Sc.
    • ICAMS Graduate School
    • Student Projects
  • News & Events
    • Overview
    • News
    • Seminars and Workshops
    • Conferences
  • Services
    • Overview
    • Contact
    • Open positions
    • Travel information

Just another WordPress site - Ruhr-Universität Bochum

A new mixed finite element based on different approximations of the minors of deformation tensors

J. Schröder, P. Wriggers, D. Balzani

Computer Methods in Applied Mechanics and Engineering, 200, 3583-3600, (2011)

DOI: 10.1016/j.cma.2011.08.009

Download: BibTEX

Finite element formulations for arbitrary hyperelastic strain energy functions that are characterized by a locking-free behavior for incompressible materials, a good bending performance and accurate solutions for coarse meshes need still attention. Therefore, the main goal of this contribution is to provide an improved mixed finite element for quasi-incompressible finite elasticity. Based on the knowledge that the minors of the deformation gradient play a major role for the transformation of infinitesimal line-, area- and volume elements, as well as in the formulation of polyconvex strain energy functions a mixed finite element with different interpolation orders of the terms related to the minors is developed. Due to the formulation it is possible to condensate the mixed element formulation at element level to a pure displacement form. Examples show the performance and robustness of the element. © 2011 Elsevier B.V.

back
{"type":"article", "name":"j.schröder201112", "author":"J. Schröder and P. Wriggers and D. Balzani", "title":"A new mixed finite element based on different approximations of the minors of deformation tensors", "journal":"Computer Methods in Applied Mechanics and Engineering", "volume":"200", "OPTnumber":"49-52", "OPTmonth":"12", "year":"2011", "OPTpages":"3583-3600", "OPTnote":"", "OPTkey":"Mixed finite elements, quasi-incompressible elasticity, anisotropy, polyconvexity", "DOI":"10.1016/j.cma.2011.08.009"}
Logo RUB
  • Open positions
  • Travel information
  • Imprint
  • Privacy Policy
  • Sitemap
Ruhr-Universität Bochum
Universitätsstraße 150
44801 Bochum

  • Open positions
  • Travel information
  • Imprint
  • Privacy Policy
  • Sitemap
Seitenanfang Kontrast N