Stress-strain condition of transversely isotropic plates with sharp-ended incisions

1981 ◽  
Vol 16 (5) ◽  
pp. 444-446
Author(s):  
L. T. Berezhnitskii ◽  
L. P. Mazurak ◽  
M. V. Delyavskii

2016 ◽  
Vol 5 ◽  
pp. 58-66
Author(s):  
Igor Bokov ◽  
Natalia Bondarenko ◽  
Elena Strelnikova

The study examined the construction of the fundamental solution for the equations of statics {1,2} – approximation for transversely isotropic plates under bending with the action of concentrated force. Equations {1,2} -approximation were obtained by the decomposition method in the thickness coordinate using the Legendre polynomials. These equations take into account all the components of the stress tensor, including the transverse shear and normal stresses. Since the classical theory of Kirchhoff-Love doesn’t take account of these stresses, the study on the basis of refined theories of stress-strain state of transversely isotropic plates under the action of concentrated force effects is an important scientific and technical problem. The fundamental solution of obtained equations results using a two-dimensional Fourier integral transform and inverse treatment techniques, built with the help of a special G-function. This method allows reducing the system of resolving differential equations for statics of flat plates and shells to a system of algebraic equations. After that, the inverse Fourier transform restores the fundamental solution. The work was carried out numerical studies that demonstrate patterns of behavior of components of the stress-strain state, depending on the elastic constants of transversely isotropic material. The results play a decisive role in the study of boundary value problems in the mechanics of thin-walled elements of constructions, including under the influence of concentrated and local diverse forces.



1998 ◽  
Vol 30 (1) ◽  
pp. 43-47
Author(s):  
V. G. Piskunov ◽  
A. V. Burygina ◽  
A. A. Rasskazov


Author(s):  
Yu.N. Loginov ◽  
◽  
Yu.V. Zamaraeva ◽  


2020 ◽  
Vol 174 ◽  
pp. 01029
Author(s):  
Danil Zorkov ◽  
Alexey Renev ◽  
Konstantin Filimonov ◽  
Rinat Zainulin

Submitted by generalized experience entry longwall into pre- driven recovery room (PDRR) in foreign and Russian mine.Submitted by research characteristic state parameters of the roof at failed entry. Give a classification of roof collapse at the entrance longwall into PDRR.On the example of longwall panel 5а-10-18 mine Raspadskaya reviewed formation process of stress-strain condition in area for PDRR. Has been modeled process of entry longwall into PDRR in the conditions of heavy roof. Determine the expected load on the anchor and standing support, installed in the PDRR. Assessed the load on the longwall shield. When calculating the loads was taken into account the following parameters: width pre-driven recovery room, number of standing support in the PDRR and especially its placement, the rate of entry longwall into PDRR.





2005 ◽  
Vol 127 (2) ◽  
pp. 197-203 ◽  
Author(s):  
Ming Cheng ◽  
Weinong Chen ◽  
Tusit Weerasooriya

Kevlar® KM2 fiber is a transversely isotropic material. Its tensile stress-strain response in the axial direction is linear and elastic until failure. However, the overall deformation in the transverse directions is nonlinear and nonelastic, although it can be treated linearly and elastically in infinitesimal strain range. For a linear, elastic, and transversely isotropic material, five material constants are needed to describe its stress-strain response. In this paper, stress-strain behavior obtained from experiments on a single Kevlar KM2 fiber are presented and discussed. The effects of loading rate and the influence of axial loading on transverse and transverse loading on axial stress-strain responses are also discussed.



2017 ◽  
Vol 131-132 ◽  
pp. 356-367 ◽  
Author(s):  
Abdollah Moslemi ◽  
Bahram Navayi Neya ◽  
Javad Vaseghi Amiri


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