scholarly journals Graded dominance and related graded properties of fuzzy connectives

2015 ◽  
Vol 262 ◽  
pp. 78-101 ◽  
Author(s):  
Libor Běhounek ◽  
Ulrich Bodenhofer ◽  
Petr Cintula ◽  
Susanne Saminger-Platz ◽  
Peter Sarkoci
IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 68403-68414 ◽  
Author(s):  
Gleb Beliakov ◽  
Gita Das ◽  
Huy Quan Vu ◽  
Tim Wilkin ◽  
Yong Xiang

2020 ◽  
Vol 23 (1) ◽  
Author(s):  
Juliane Ribeiro da Cruz ◽  
Milton Sérgio Fernandes de Lima ◽  
Rodnei Bertazzoli

1993 ◽  
Vol 60 (2) ◽  
pp. 406-413 ◽  
Author(s):  
M. Ozturk ◽  
F. Erdogan

In this paper, the axisymmetric crack problem for a nonhomogeneous medium is considered. It is assumed that the shear modulus is a function of z approximated by μ = μ0eαz. This is a simple simulation of materials and interfacial zones with intentionally or naturally graded properties. The problem is a mixed-mode problem and is formualated in terms of a pair of singular integral equations. With fracture mechanics applications in mind, the main results given are the stress intensity factors as a function of the nonhomogeneity parameter a for various loading conditions. Also given are some sample results showing the crack opening displacements.


2006 ◽  
Vol 2006 (0) ◽  
pp. 101-102
Author(s):  
Yuji SUTOU ◽  
Toshihiro OMORI ◽  
Takamitsu TAKAGI ◽  
Masao SUZUKI ◽  
Akihisa FURUKAWA ◽  
...  

2019 ◽  
Vol 11 (02) ◽  
pp. 1950015 ◽  
Author(s):  
Feng Gao ◽  
Wang Guo ◽  
Peijian Chen ◽  
Chengzheng Cai ◽  
Guangjian Peng

The wrinkling instability of a stiff film adhering to a pre-strained inhomogeneous bi-layer substrate consisting of a homogeneous substrate and a graded coating is investigated in the present paper. The critical strain, wavelength and amplitude of the film/inhomogeneous substrate system are calculated numerically and analyzed comprehensively. Compared with the numerical result, a theoretical model is introduced to approximately predict the wrinkling responses of the system. The influence of various geometric and material parameters on the wrinkling behavior is mainly focused. The wrinkling responses are found to be highly related to the graded laws and the thickness of the inhomogeneous coating as well as the Poisson’s ratio. What is more, a proper choice of graded properties of a substrate can improve the wrinkling response of a film/substrate system. The present finding should be very meaningful to guide the design of various stretchable and flexible electronics.


2020 ◽  
Vol 321 ◽  
pp. 05016
Author(s):  
Stéphanie DELANNOY ◽  
Sarah BAÏZ ◽  
Pascal LAHEURTE ◽  
Laurence JORDAN ◽  
Frédéric PRIMA

Recent works have shown that the elastic mismatch observed at the bone / implant interface could be responsible for stress shielding issues causing bone resorption phenomena and potentially implant failures. In the present study, new advanced thermomechanical approaches leading to titanium alloys with graded elastic properties are proposed. The underlying philosophy and the whole methodology is detailed here, from the selection of candidates with large elastic variability to the creation of gradients, involving the identification of microstructure-properties relationships and the use of appropriate thermo-mechanical treatments. Applied on Ti-Nb-Zr alloys, these original routes enabled to get the following graded properties: elastic modulus from 85 to 65GPa over 400μm for TNZ alloy by surface deformation, and from 130 to 75GPa over 100μm for Ti-13-13 by preferential dissolution. These promising results thus validated the previously designed material-strategy-process combinations.


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