Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy

[+] Author and Article Information
T. J. R. Hughes, T. K. Caughey, W. K. Liu

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 45(2), 366-370 (Jun 01, 1978) (5 pages) doi:10.1115/1.3424303 History: Received August 01, 1977; Revised January 01, 1978; Online July 12, 2010


A modification of the trapezoidal rule is presented which results in physically appropriate energy growth characteristics for nonlinear transient analysis. In particular, when external forces are absent, energy conservation is attained for nonlinear elastodynamics and unconditional stability is thereby automatically achieved. Implementation aspects and numerical examples in support of the theory are described.

Copyright © 1978 by ASME
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In