A Mathematical Model Depicting the Stress-Strain Diagram and the Hysteresis Loop

1959 ◽  
Vol 26 (1) ◽  
pp. 95-100
Author(s):  
I. R. Whiteman
Keyword(s):  
Mathematical Model ◽  
Hysteresis Loop ◽  
Yield Stress ◽  
Frequency Distribution ◽  
Elastic Region ◽  
Tangent Modulus ◽  
Strain Diagram ◽  
Cumulative Frequency ◽  
Cumulative Frequency Distribution ◽  
Stress Strain

Abstract A model is made up of elastoplastic elements, all of which have the same value of Young’s modulus E, but which have different values of yield stress. It is shown that the dimensionless tangent modulus graph Et/E represents the cumulative frequency distribution of those elements which are in the elastic region. From the frequency distribution, the equations for the stress-strain diagram and the hysteresis loop can be written.

Daylight climatology in the Athens urban environment: guidance for building designers

2002 ◽  
Vol 34 (4) ◽  
pp. 297-309 ◽  
Author(s):  
HD Kambezidis ◽  
ThI Oikonomou ◽  
D Zevgolis
Keyword(s):  
Energy Saving ◽  
Urban Environment ◽  
Frequency Distribution ◽  
Cumulative Frequency ◽  
Cumulative Frequency Distribution ◽  
Architectural Practice ◽  
Potential Value

Global and diffuse horizontal illuminance data are analysed for Athens, Greece, for the period 1992-1997. It is shown in a graphical manner that horizontal illuminance (global and diffuse) is dependent upon the time of the day and the month of the year. The diagrams are categorized according to Perraudeau’s nebulosity index, which reflects the sky cover and the climate at a given area. The cumulative frequency distribution of the parameters under all-sky types are estimated and discussed. Some examples of sky-luminance distributions using appropriate software are given. The conclusions are of potential value to local architectural practice, installations of lighting, and in developing an energy-saving policy for the Athens region.

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