A Single Point of Integration Walter P. Murphy Professor
and
McCormick Distinguished Professor of Computational Mechanics
Ted Belytschko
Presented by: Wing Kam Liu
Prepared by: Patrick Lea, Sheng Peng, Jifeng Zhao, Miguel Bessa, and Devin O’Connor
The Chicken and Egg Problem in
Computational Mechanics T.J.R. Hughes
Institute for Computational Engineering and Sciences (ICES) The University of Texas at Austin
Dedication
Happy 70th Birthday to Ted Belytschko, a great friend for 38 years and counting
NWU2013, Advances in Computational Mechanics with Emphasis on Fracture and Multiscale Phenomena, April 18-20, 2013
USNCCM July 2007, San Francisco, CA
Belytschko_Liu_Chong_June2011 (Belytschko Home)
Rewards of 70 Years • National Academy of Science • National Academy of Engineering • Numerous Honorary Degrees • William Prager Medal, Society of Engineering Science, 2011* • Timoshenko Medal, ASME, 2001 • Structural Computational Mechanics Award, US Association
for Computational Mechanics, 1997 (renamed) • Gauss-Newton Medal, International Association for
Computational Mechanics 2002* • Theodore von Karman Medal, American Society of Civil
Engineers (ASCE), 1999 • Computational Mechanics Award, International Association
for Computational Mechanics, 1994
Reward from Thy Academic Grandfather • Prager Medal from Society of
Engineering Science (2011) – The prize is awarded for outstanding
research contributions in either theoretical or experimental Solid Mechanics or both.
• Hodge and Beltyschko – Plane Stress Limit Analysis by Finite
Elements Journal of the Engineering Mechanics Division, Vol. 96, No. 6, November/December 1970, pp. 931-944
• Prager and Hodge – Theory of perfectly plastic solids
From a Line of Greatness
Carl Friedrich Gauss Christian Ludwig Gerling Julius Plücker Felix Klein
Ferdinand von Lindemann William Prager
Wilhelm Schlink
To a Line of Future Greatness (We (students & followers) Hope)
Patrick Lea Sheng Peng Devin O’Connor Miguel Bessa Jifeng Zhao
Hope for Awards from Thy Academic Father • Ted Belytschko Applied Mechanics
Award – ASME – Glass plaque and Honorarium – For contributions in the practice of engineering mechanics
• Belytschko Lecture Series – Lectures on Computational Science & Engineering – Northwestern University
• The Belytschko Medal – USACM – Medal and Honorarium – For contributions to computational structural and solid mechanics
Professor Oñate received the Ted Belytschko AMD Award; Professor Bazant received the Timoshenko Medal;
ASME Meeting , Orlando, November, 2009
Ken Chong Received the Ted Belytschko Award, 2011
Feeling the “Impact” Belytschko, Ted, and Mark O. Neal. "Contact-impact by the pinball algorithm with penalty and Lagrangian methods.”
Belytschko, Ted, Jerry I. Lin, and Tsay Chen-Shyh. "Explicit algorithms for the nonlinear dynamics of shells.”
http://www.crash-analysis.com/pages/images/explorer.jpg http://www.philonnet.gr/products/lstc/ls_dyna/
Belytschko, Ted and Bachrach, William E. “Efficient implementation of quadrilaterals with high coarse-mesh accuracy.”
Henrkl Stolarski
Jerry Lin
Tsay Chen-Shyh Bill Bachrach Mark Neal
Sometimes Taking Small & Large Steps
Displacement
velocity
Results with m=1 can be considered as reference solutions
Mark O. Neal (not shown)
William Daniel
Zhanli Liu
Patrick Smonlinski
Patrick Lea
Casting a Wide Net
EFG
Shaofan Li
JS Chen
Timon Rabczuk
Petr Krysl
What happened In 1999…
• The euro is established. • People prepared for the Y2K bug • Record of the Year is My Heart Will Go On by
Celine Dion • Lance Armstrong “wins” his first Tour de
France. • What else…
XFEM
Extending what is possible… Elisa Budyn
Phil Moseley
Sheng Peng
Timon Rabczuk
Jay Oswald
Patrick Lea
Zhanli Liu
Nicolas Moes
John Dolbow
Robet Gracie
J-H Song
Qindlin Duan
Yan Liu
Pushing Fracture in a New Way
James Kennedy Guess who
in the audience
Jeong-Hoon Song Robert Gracie
Charbel Farhat Timon Rabczuk
Patrick Lea
To Spread FEM around the U.S.
And Around the World
Guanajuato, Mexico 2002
And Teaching Thousands More
Nonlinear finite element analysis for continua and structures Beltyschko et al., First Edition, 1999 Second Edition has been completed and will be out sometime in 2013 Per Readers demand , Solution Manual is now available in the 2nd Edition
HAPPY BIRTHDAY TED BELYTSCHKO
Lake Michigan January 14, 2012
