A yield-limited Lagrange multiplier formulation for frictional contact

✍ Scribed by Reese E. Jones; Panayiotis Papadopoulos

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 237 KB
• Volume: 48
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(20000720)48:8<1127::aid-nme937>3.0.co;2-c

✦ Synopsis

An analogy with rigid plasticity is used to develop a constitutive framework for quasi-static frictional contact between ÿnitely deforming solids. Within this setting, a Lagrange multiplier method is used to impose a sharp distinction between stick and slip. The scope of the multipliers is limited by a constitutively deÿned 'yield' function and a ÿnite element-based predictor-corrector scheme is employed to e ciently determine the regions of stick and slip and the associated tractions. Selected simulations of planar quasi-static problems are presented to validate the method and illustrate its capabilities.