JECET : Journal of Environmental Science, Computer Science and Engineering & Technology. E-ISSN : 2278-179X

      JECET : Journal of Environmental Science, Computer Science and Engineering & Technology

Research Papers in Eng Science

fH -Mean: One Generalized Definition of Average

Dhritikesh Chakrabarty,[DOI: 10.24214/jecet.C.7.4.30114]

A generalized definition has been constructed for defining average mathematically. The definition constructed hare has been termed as the generalized fH - Mean. This definition can be treated as a technique of deriving of definitions of different types of average. A number of definitions / formulations of average have been derived from this generalized definition of average namely the generalized fH - Mean. This paper describes the construction of the generalized fH - Mean and the derivations of a number of definitions / formulations of average from it.

Condition for Complete Graph – Using Fuzzy Graph

A.R.Shoba and R.Malathi ,[DOI: 10.24214/jecet.C.7.4.31520]

In this paper, we will be learning some new concepts of notions of fuzzy graph, union, intersection of two fuzzy graphs and a few properties relating to finite union and intersection of fuzzy graphs are established here. We are also going to find the conditions for complete graph.

Crack growth path prediction by SED Theory. Influence of T-stress and high order terms in derivative stress state equations at the crack tip, solving with Genetic Algorithms

[DOI: 10.24214/jecet.C.7.4.32133.]

Rodríguez-Martínez Rafael*, Torres-San Miguel Christopher, Lugo-González Esther, Ortega-Herrera José Ángel, Urriolagoitia-Calderón Guillermo Manuel,

In fracture problems under a multiaxial stress state, many cases have been analyzed. Particularly, the biaxial stress state for of a few practical engineering problems. The case of SIF mode I and its influence in brittle materials by means a KI is very important in engineering design. The main objective of this work is to establish the influence of the T-stress factor in the behavior of the biaxial mode of fracture, considering the Strain Energy Theory. A special Strain Energy Density (SED) method was proposed separating the hydrostatic and distortional components which form a total SED. Based on works carried out recently, the present research was applied in SEN specimens under plane-stress and plane-strain states, and the resultant equations were solved employing Genetic Algorithms. Results obtained are very similar into certain range of the biaxiality values to those obtained in other works. Additionally, an important contribution is made applying the algorithms to plane-stress and plane-strain states considering specimens with Poisson ratios of 0, 0.3 and 0.5. Additionally, the final results indicate that seemengly the higher order terms and the component T-stress have a significant influence on the energy curves of the SED Theory and on the direction of crack propagation, which differ significantly with respect to other published works.


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