State functions: the milestone of fracture

Abstract

The fracture phenomenon is defined via the change of state of structure (entity) between the intact and the fractured end states as the function of the state variable. The twin state functions are defined for the transition of unit of the entity between its two end states. The state ratio is defined as the ratio of the two state functions. The property of the cracked structure is defined as the product of the structure property and the state ratio. The work is then used to derive the main parameters of the fracture mechanics. The work is verified via five examples.

Persian Curve Versus Monte Carlo Method

“…For a change in a system (e.g., structure) the survived capacity and the fled capacity are important (Ranjbaran et al, 2008;Ranjbaran and Rousta, 2009;Ranjbaran, 2010;Ranjbaran et al, 2011;Ranjbaran, 2012;Ranjbaran and 237 Rousta, 2013a;Ranjbaran and Ranjbaran, 2014;Ranjbaran, 2015;Ranjbaran and Ranjbaran, 2016;2017a;2017b;2017c;Ranjbaran et al, 2020a-f;2021a;2021b). The capacity (kS), called system stiffness, is defined as a positive entity which has a finite specified value at the beginning of the lifetime (origin) and reduces to zero at the end of systems lifetime (destination).…”

Building Design Rule for Glass Structures by Persian Curve

“…The current authors research team detected the need for remedy and after extensive research (Ranjbaran et al, 2008;Ranjbaran, 2010;Ranjbaran et al, 2011;Ranjbaran, 2012a-b;2013;Ranjbaran and Rousta, 2013a-b;Ranjbaran et al, 2013a-b;Ranjbaran and Ranjbaran, 2014;Ranjbaran, 2014;2016;Ranjbaran and Ranjbaran, 2016;2017a-c;Hosseini et al, 2018;Amirian and Ranjbaran, 2020;Baharvand and Ranjbaran, 2020a-b;Ranjbaran et al, 2020a-d), in the last two decades, proposed the Change of State Philosophy (CSP) which expressed in the Persian Curves (PC) (Ranjbaran et al, 2020a). The aim of the presented paper is to derive and validate the (PC) and then apply it for analysis of structural glass members as follows.…”