Geodesic
Analysis of stress-strain and limit states in extremely loaded zones of machines and constructions
Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 394-416

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The basis for the analysis of such characteristics as strength, lifeendurance and safety of machine elements and structures in standard and emergency situations are the equations and criteria for linear and nonlinear mechanics of deformation and fracture. They are a part of the strength standards and are used both in the design and in the manufacture and operation of equipment. The article shows that the results of strength, resource and survivability studies are the basic component to create the foundations of the catastrophes and risks mechanics in the technogenic sphere, new principles, technologies and technical complexes that ensure their safe operation and let in a theoretically grounded manner prevent the appearance of emergency and catastrophic situations, and minimize possible damage when they occur. At the same time, the instrument for ensuring safe working conditions is to diagnose the current parameters of the material state and to determine the characteristics of stress-strain states in the most stressed zones of the analyzed technical system. The solution of the problem of strength and resource evaluation in such conditions includes the creation of generalized mathematical and physical models of complex technological, working and emergency processes in technical systems for analyzing the transition conditions from regular states to the conditions of occurrence and development of accidents and catastrophes. Such models are characterized by a multilevel structure that affects global, local and object security aspects. The developments are interdisciplinary in nature and underlie the safety and risks rationing.
Keywords: stress-strain states, limiting states, strength, resource, survivability, fracture, accidents, disasters, diagnostics, technogenic safety, risk, mechanics of disasters. 
@article{CHEB_2017_18_3_a23,
     author = {N. A. Makhutov and M. M. Gadenin and D. O. Reznikov and D. A. Neganov},
     title = {Analysis of stress-strain and limit  states in extremely loaded zones of  machines and constructions},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {394--416},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a23/}
}
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N. A. Makhutov; M. M. Gadenin; D. O. Reznikov; D. A. Neganov. Analysis of stress-strain and limit  states in extremely loaded zones of  machines and constructions. Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 394-416. http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a23/