Description
New finite elements with embedded strong discontinuities to model failure in three dimensional purely mechanical and electromechanical coupled materials will be shown. Following the strong discontinuity approach for plane problems, the boundary value problems are decomposed into continuous global and discontinuous local parts where strong discontinuities in the displacement field and the electric potential are introduced. Those are incorporated into general three-dimensional brick finite elements through the incorporation of nine mechanical separation modes and three new electrical separation modes. All the local enhanced parameters related to those modes can be statically condensed out on the element level, yielding a computationally efficient framework to model failure in purely mechanical and electromechanical coupled materials. A marching cube-based crack propagation concept is used to obtain smooth failure surfaces in the three-dimensional problems of interest. Several representative numerical simulations are included and compared with experimental results of solids at failure.
Recommended Citation
Linder, C. (2014). New three dimensional finite elements to model solids at failure. In A. Bajaj, P. Zavattieri, M. Koslowski, & T. Siegmund (Eds.). Proceedings of the Society of Engineering Science 51st Annual Technical Meeting, October 1-3, 2014 , West Lafayette: Purdue University Libraries Scholarly Publishing Services, 2014. https://docs.lib.purdue.edu/ses2014/mss/cfm/10
New three dimensional finite elements to model solids at failure
New finite elements with embedded strong discontinuities to model failure in three dimensional purely mechanical and electromechanical coupled materials will be shown. Following the strong discontinuity approach for plane problems, the boundary value problems are decomposed into continuous global and discontinuous local parts where strong discontinuities in the displacement field and the electric potential are introduced. Those are incorporated into general three-dimensional brick finite elements through the incorporation of nine mechanical separation modes and three new electrical separation modes. All the local enhanced parameters related to those modes can be statically condensed out on the element level, yielding a computationally efficient framework to model failure in purely mechanical and electromechanical coupled materials. A marching cube-based crack propagation concept is used to obtain smooth failure surfaces in the three-dimensional problems of interest. Several representative numerical simulations are included and compared with experimental results of solids at failure.