Necessary and sufficient condition for additivity in the sense of the Palmgren–Miner rule

By Michael T. Todinov. 2001

57 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/7ced3b587e4dd70642f7b8037996a40609ed8e95

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

1. Pietro Cornetti
2. Alberto Carpinteri
3. Nicola Maria Pugno
4. Marco Paggi
5. Michele Ciavarella
6. V. Mantič 
7. Markus J. Buehler
8. Chang Q. Sun

In Mechanics of Materials

1. Alberto Carpinteri
2. Pietro Cornetti
3. Nicola Maria Pugno
4. Marco Paggi
5. Michele Ciavarella
6. A. Kazberuk
7. M. Savruk
8. V. Mantič 

In Statistics and Probability

1. Alberto Carpinteri
2. Michele Ciavarella

Citations in the corpus

• One, no one, and one hundred thousand crack propagation laws: A generalized Barenblatt and Botvina dimensional analysis approach to fatigue crack growth (2008, background): “More generally, it has been shown that if the differential equation describing the crack growth process has separate variables, like da dN / Dsaab, (44) then the Palmgren–Miner damage accumulation rule is true (Svensson and deMare, 1999; Todinov, 2001).”
• A generalized Paris' law for fatigue crack growth (2006, background): “Also, it has been shown that if the differential equation describing the crack growth process has separate variables, then the Palmgren–Miner damage accumulation rule is true (Svensson and Mare, 1999; Todinov, 2001).”