Damage Evolution and Heterogeneity of Materials: Model Based on Fuzzy Set Theory
نویسندگان
چکیده
A mathematical model of damage evolution in heterogeneous materials is developed using the methods of the theory of fuzzy sets. The fuzzy concept of damage is formulated and some applications of this concept are considered. The influence of the material heterogeneity on the damage as well as the heterogenization of the material due to the damage evolution are studied. On the basis of the fuzzy concept of damage, it is shown that the greater the heterogeneity of material, the closer is the material to failure under loading. 1997 Elsevier Science Ltd
منابع مشابه
A Nonlinear Creep-damage Constitutive Model of Mudstone Based on the Fractional Calculus Theory
During the flood development in an oil field, the creep characteristic of mudstone is one of the important factors causing casing damage. In this study, based on the theory of fractional order differential and taking into account the creep damage evolution rules, a fractional nonlinear creep-damage model is proposed to reflect the instantaneous deformation in loading processes and the accelerat...
متن کاملUNCERTAINTY ANALYSIS OF STABILITY OF GRAVITY DAMS USING THE FUZZY SET THEORY
This paper introduces a methodology for considering the uncertainties in stability analysis of gravity dams. For this purpose, a conceptual model based on the fuzzy set theory and Genetic Algorithm (GA) optimization is developed to be coupled to a gravity dam analysis model. The uncertainties are represented by the fuzzy numbers and the GA is used to estimate in what...
متن کاملEvaluating Construction Projects by a New Group Decision-Making Model Based on Intuitionistic Fuzzy Logic Concepts
Select an appropriate project is a main key for contractors to increase their profits. In practice, in this area the uncertainty and imprecise of the involved parameters is so high. Therefore, considering fuzzy sets theory to deal with uncertainly is more appreciate. The aim of this paper is present a multi-criteria group decision-making model under an intuitionistic fuzzy set environment. Henc...
متن کاملAn enhanced reliability-oriented workforce planning model for process industry using combined fuzzy goal programming and differential evolution approach
This paper draws on the “human reliability” concept as a structure for gaining insight into the maintenance workforce assessment in a process industry. Human reliability hinges on developing the reliability of humans to a threshold that guides the maintenance workforce to execute accurate decisions within the limits of resources and time allocations. This concept offers a worthwhile point of de...
متن کاملFUZZY PREORDERED SET, FUZZY TOPOLOGY AND FUZZY AUTOMATON BASED ON GENERALIZED RESIDUATED LATTICE
This work is towards the study of the relationship between fuzzy preordered sets and Alexandrov (left/right) fuzzy topologies based on generalized residuated lattices here the fuzzy sets are equipped with generalized residuated lattice in which the commutative property doesn't hold. Further, the obtained results are used in the study of fuzzy automata theory.
متن کامل