A Consistent Implicit Formulation for Nonlinear Finite Element Modeling With Contact and Friction: Part II—Numerical Verification and Results

[+] Author and Article Information
M. J. Saran, R. H. Wagoner

Department of Materials Science and Engineering, The Ohio State University, Columbus, OH 43210

J. Appl. Mech 58(2), 507-512 (Jun 01, 1991) (6 pages) doi:10.1115/1.2897213 History: Received July 11, 1990; Revised October 26, 1990; Online March 31, 2008


Using the method derived in Part I, plane-strain sheet-forming processes are analyzed and discussed. Stretch and deep draw forming by cylindrical and flat-bottom punches are presented and compared to closed-form solutions and existing numerical results. The performance of the new algorithm is successfully tested on a complex set of concave, irregular tools by simulating redrawing and reverse drawing with two-sided draw-in and various drawbead forces. The results demonstrate good robustness, accuracy, and efficiency even in the presence of large relative movements between contact surfaces. A quadratic rate of asymptotic convergence is documented for the consistent algorithm and comparison is made to the “linearized” theory which exhibits only linear rate of convergence and reduced numerical stability.

Copyright © 1991 by The American Society of Mechanical Engineers
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