Next Article in Journal
Dye Adsorbent Materials Based on Porous Ceramics from Glass Fiber-Reinforced Plastic and Clay
Previous Article in Journal
An Extended Proxy-Based Sliding Mode Control of Pneumatic Muscle Actuators
Article Menu

Export Article

Open AccessReview
Appl. Sci. 2019, 9(8), 1575; https://doi.org/10.3390/app9081575

A Simple Estimation Method of Weibull Modulus and Verification with Strength Data

Department of Materials Science and Engineering, University of California, Los Angeles (UCLA), Los Angeles, CA 90095, USA
Received: 17 March 2019 / Revised: 12 April 2019 / Accepted: 12 April 2019 / Published: 16 April 2019
(This article belongs to the Section Materials)
  |  
PDF [2977 KB, uploaded 16 April 2019]
  |  

Abstract

This study examines methods for simplifying estimation of the Weibull modulus. This parameter is an important instrument in understanding the statistical behavior of the strength of materials, especially those of brittle solids. It is shown that a modification of Robinson’s approximate expression can provide good estimates of Weibull modulus values (m) in terms of average strength (<σ>) and standard deviation (S): m = 1.10 <σ>/S. This modified Robinson relation is verified on the basis of 267 Weibull analyses accompanied by <σ> and S measurements. Estimated m values matched normally obtained m values on average within 1%, and each pair of m values was within ± 20%, except for 11 cases. Applications are discussed, indicating that the above relation can offer a quantitative tool based on the Weibull theory to engineering practice. This survey suggests a rule of thumb: wrought metal alloys have Weibull moduli of 10 to 200. View Full-Text
Keywords: Weibull modulus; estimation methods; modified Robinson relation; strength data; observed datasets; large-scale data Weibull modulus; estimation methods; modified Robinson relation; strength data; observed datasets; large-scale data
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Ono, K. A Simple Estimation Method of Weibull Modulus and Verification with Strength Data. Appl. Sci. 2019, 9, 1575.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Appl. Sci. EISSN 2076-3417 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top