Physical Nonlinearity and Anisotropic Features of Materials in Structure Analysis

2013 ◽  
Vol 405-408 ◽  
pp. 2686-2689 ◽  
Author(s):  
Nina S. Blokhina

A justified assessment of the work of constructions and their elements should take into account physical and mechanical characteristics of construction materials. Although taking physical nonlinearity and anisotropic features into consideration will make the design more complicated, it is strongly needed to develop tools and methods that cover all the specific features of the material more precisely. Mathematical methods of construction design that take physical nonlinearity into account are quite well investigated. They are: Newton Raphson method; modified Newton Raphson method which differs from the original version by the fact that the stiffness matrix has to be calculated only once at the first iteration and remains the same for several further iterations and steps of load; the method of growing stiffness which is quite efficient in dealing with problems of physical nonlinearity, and so on. But certain difficulties appear as we consider these problems from the point of view of physics: the majority of strength and plastic-yield criteria are not implemented in design process yet. That is caused by complicated mathematics and a need for more experiment in order to determine the constants in use.

2014 ◽  
Vol 2014 ◽  
pp. 1-17 ◽  
Author(s):  
S. Z. A. Husseny ◽  
Y. Abd elmaboud ◽  
Kh. S. Mekheimer

We study the peristaltic mechanism of an incompressible non-Newtonian biofluid (namely, Maxwell model) in the annular region between two coaxial tubes. The inner tube represents the endoscope tube. The system of the governing nonlinear PDE is solved by using the perturbation method to the first order in dimensionless wavenumber. The modified Newton-Raphson method is used to predict the flow separation points along the peristaltic wall and the endoscope tube. The results show that the presence of the endoscope (catheter) tube in the artery increases the pressure gradient and shear stress. Such a result seems too reasonable from the physical and medical point of view.


2012 ◽  
Vol 466-467 ◽  
pp. 849-853
Author(s):  
Zhao Yin Zhang

6-DOF parallel robot forward kinematics can be achieved by Newton-Raphson method with more accurancy, but the result depends on the offer of initial value. It can definitely calculate the result by genetic algorithm, however, more evolved algebra is needed to make it more accurate, and sometimes it hardly meets the requirement by concurrent control. This article points to use the result of genetic as the initial value of algorithm, and ultimately make use of iteration to complete the forward kinematics. High accuracy and speed are the main features of this calculation, and another one is interpreting from the implementation point of view, which is very practical and meet the concurrent control through experiment.


Minerals ◽  
2020 ◽  
Vol 10 (8) ◽  
pp. 682
Author(s):  
Evgeniy V. Kislov ◽  
Lyudmila I. Khudyakova

Ultramafic–mafic complexes are widely developed in the Earth’s crust. They contain deposits of various minerals. The Yoko–Dovyren intrusive in the North Baikal Region, Russia, is considered an example of an intrusive containing diverse mineralization: Ni-Cu, Platinum group elements, Cr, Zr, B, and blue diopside. During the development of the deposit, a huge amount of magnesium-containing rocks are moved to dumps and have a negative impact on the environment. To minimize this process, overburden and host rocks need to be involved in production, thereby avoiding the movement of rocks into dumps. The construction materials production is main industry using this rocks. Therefore, the purpose of these studies was to determine the quality of magnesium-containing rocks and the possibility of their use in construction. As a result of the complex works performed, it has been determined that these rocks have required physical and mechanical characteristics. Concretes in large and small aggregates from magnesium-containing rocks were obtained. It has been concluded that they are superior to concrete from granite rubble and quartz sand in terms of their strength indicators. The use of magnesium-containing rocks, without allowing them to fall into dumps, will allow us to create clean, environmentally safe mining enterprises.


2021 ◽  
Vol 264 ◽  
pp. 01012
Author(s):  
Shavkat Rakhimov ◽  
Uchqun Gaziev ◽  
Nilufar Babakulova ◽  
Qunduz Khudoynazarova

The object of the study is filling mixtures based on waste from the mining, energy, and copper-smelting industries, Portland cement, and superplasticizer. In the course of the study, standardized methods for studying the properties and quality indicators of industrial waste and filling mixtures based on it and mathematical methods for optimizing the compositions of mixtures, statistical methods for analyzing the results of experiments, were used. It has been established that, in terms of their physical and mechanical characteristics, stowing mixtures based on waste are not inferior to mixtures based on natural materials. The mathematical method for planning experiments has revealed the dependences linking strength with the quantitative characteristics of the components of the filling mixture. Based on the established regularities, an optimization model has been developed that minimizes the consumption of the binder and establishes a relationship between the composition and properties of the mixture.


2021 ◽  
Vol 18 (1) ◽  
pp. 120-134
Author(s):  
V. S. Lesovik ◽  
A. А. Sheremet ◽  
I. L. Chulkova ◽  
A. E. Zhuravleva

Introduction. Methodological approaches and validation of the emergence of a new transdisciplinary area -geonics, which is considered as the art of applying knowledge of the inorganic world, are presented.Materials and methods. The concept of technogenic metasomatism as a stage in the evolution of building materials, characterized by the adaptation of the composite to changing conditions is formulated. The Law of affinity of structures, which consists in the selection of raw materials for a composite with similar physical and mechanical characteristics, is described.Results. The examples of non-traditional raw materials use in the areas of construction materials science (intelligent composites, restoration mixtures) and architecture (the building of the Belarusian Potash Company in Belarus, the 'Reflection of the mineral’ building in Japan, the design concept of the monument to the Kursk magnetic anomaly) are presented.Discussion and conclusions. It is proved that the development of a transdisciplinary approach to geonics will improve the comfort of human stay in the environment.


2020 ◽  
pp. 22-26
Author(s):  
YURY G. IVANOV ◽  
◽  
YELENA V. MASHOSHINA ◽  
LYUDMILA N. VERLIKOVA ◽  
DARIA G. GELETIY ◽  
...  

2020 ◽  
Vol 787 (12) ◽  
pp. 63-65
Author(s):  
N.S. Sokolov

The problem of increasing the bearing capacity of the base is an relevant problem in modern geotechnical construction. When significant loads are transmitted to the base, the use of traditional technologies is not always justified. Often there is an urgent need to use non-standard ways to strengthen the bases. In many cases, the geotechnical situation is aggravated by the presence of weak underlying layers with unstable physical and mechanical characteristics in engineering-geological sections. When strengthening such bases with the help of traditional piles, the latter can get negative friction, which significantly reduces their bearing capacity on the ground, sometimes reaching zero values. This may lead to additional precipitations of the objects being constructed and constructed in the zone of geotechnical influence. The use of ERT piles in most cases successfully solves many complex geotechnical problems.


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