Statistics and size effect in cementitious materials

✍ Scribed by Brian Cotterell; Yiu-Wing Mai; Khin Yong Lam

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 541 KB
• Volume: 25
• Category: Article
• ISSN: 0008-8846
• DOI: 10.1016/0008-8846(95)00026-7

✦ Synopsis

The statistical size effect in cementitious beams is examined using the assumption that the critical threshold stress to cause a strain-softened fracture process zone to be initiated follows the Weibull distribution. The fictitious crack line model and the K-superposition theory, in combination with the statistical strain-softening relationship, are used to determine the strength of plain and notched beams. For notched beams the statistical effect on the strength is only important for small beams, but causes a large variation in all sizes of plain beams.