On probabilistic yielding of materials

✍ Scribed by Jeremić, Boris ;Sett, Kallol

• Book ID: 102809175
• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 875 KB
• Volume: 25
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/cnm.1133

✦ Synopsis

Abstract

Uncertainty in material properties can have large effect on numerical modeling of solids and structures. This is particularly true as all natural and man‐made materials exhibit spatial non‐uniformity and point‐wise uncertainty in their behaviors.

A methodology that accounts for the probabilistic yielding of elastic–plastic materials is presented. The recently developed Eulerian–Lagrangian form of the Fokker–Planck–Kolmogorov equation is used to obtain a second‐order exact solution to elastic–plastic constitutive differential equations. In this paper that solution is used in deriving the weighted probabilities of elastic, elastic–plastic behavior and yielding. A number of examples for two commonly used material models, von Mises and Drucker–Prager, illustrated the findings. Copyright © 2008 John Wiley & Sons, Ltd.