Flow, deformation and fracture: lectures on fluid mechanics and the mechanics of deformable solids for mathematicians and physicists

2015 ◽  
Vol 52 (11) ◽  
pp. 52-5898-52-5898
Keyword(s):  
Fluid Mechanics ◽  
Deformable Solids ◽  
Deformation And Fracture ◽  
Mechanics Of Deformable Solids ◽  
Flow Deformation

scholarly journals The least-squares collocation method in the mechanics of deformable solids

2021 ◽  
Vol 1715 ◽  
pp. 012029
Author(s):  
Sergey Golushko ◽  
Vasily Shapeev ◽  
Vasily Belyaev ◽  
Luka Bryndin ◽  
Artem Boltaev ◽  
...  
Keyword(s):  
Least Squares ◽  
Collocation Method ◽  
Least Squares Collocation ◽  
Deformable Solids ◽  
Mechanics Of Deformable Solids

Influence of Atmospheric Humidity on the Critical Buckling Load of Reinforced Concrete Columns

2021 ◽  
Author(s):  
Kaique Moreira Matos Magalhães ◽  
Reyolando Manoel Lopes Rebello da Fonseca Brasil ◽  
Alexandre de Macêdo Wahrhaftig ◽  
Gustavo Henrique Siqueira ◽  
Iryna Bondarenko ◽  
...  
Keyword(s):  
Reinforced Concrete ◽  
Relative Humidity ◽  
Concrete Columns ◽  
Buckling Load ◽  
Atmospheric Humidity ◽  
Technical Standards ◽  
Reinforced Concrete Columns ◽  
Critical Buckling Load ◽  
Deformable Solids ◽  
Mechanics Of Deformable Solids

In this paper, an evaluation of the influence of atmospheric humidity on the critical buckling load of reinforced concrete columns is performed. A particular case consisting of a real, extremely slender reinforced concrete pole was taken for the study. The chosen mathematical procedure for calculating the critical load is based on the Mechanics of Deformable Solids due to variations of structure vibration frequency over time. The rheological behavior of concrete related to creep and shrinkage, which illustrates the time-dependent aspect of the problem, was also considered in the analysis following normative recommendations from the Brazilian Association of Technical Standards (ABNT). In order to evaluate value changes of critical buckling loads, different time instants after loading the structure as well as different relative humidity from 0% to 100%, in 10% increments were considered. According to the selected criteria, it was possible to verify that a higher atmospheric humidity decreases the water transport from the interior out to the exterior surfaces of concrete, hence positively influencing structure stiffness. Therefore, the lowest reduction on critical buckling was 41.9% at 100% relative atmospheric humidity, versus the highest 60.7% at 0% relative humidity. A period of 7500 days after loading the structure was considered in the analysis.

scholarly journals THE SOLUTION OF PHYSICALLY NONLINEAR PROBLEMS OF BENDING VALVE PLATES

2018 ◽  
Vol 14 (2) ◽  
pp. 133-140
Author(s):  
Vladilen V. Petrov ◽  
Roman V. Mischenko ◽  
Dmitriy A. Pimenov
Keyword(s):  
Variable Thickness ◽  
Gradient Method ◽  
Nonlinear Problems ◽  
Deformable Solids ◽  
Construction Mechanics ◽  
Mechanics Of Deformable Solids ◽  
Plates Of Variable Thickness

The algorithm of Kantorovich gradient method applied to nonlinear problems of construction mechanics and mechanics of deformable solids, proposed in [1], is applied to the study of the bending of physically nonlinear plates of variable thickness. This article should be considered as a logical development of the content of the work [2]

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