Search citation statements
Paper Sections
Citation Types
Year Published
Publication Types
Relationship
Authors
Journals
The studies [3, 7-9, I 1] proposed governing equations of the theory of thermoviscoelasticity to describe features of the deformation of elements for a body in complex nonisothermal loading processs occurring along arbitrary paths. The studies also described methods of specifying the functionals that enter into these equations. The ~vorks of [2, 3,[7][8][9][10][11][12][13] examined features of the inelastic deformation of certain structural steels and alloys and empirically substantiated the above-mentioned governing equations in the complex isothermal and non-isothermal loading of elements of a body over paths in the form of twobranch broken lines including straight and curved sections. In contrast to this, here we present results of studies of the viscoelastic loading of a structural element at high temperatures along a three-branch path located within one plane of the the space of II'yushin [5J.We used the method proposed in [4, 10] to perform complex active loading along a three-branch path at 700~ The second and third branches were curvilinear. Tubular specimens of alloy E1 437 that had been heated to 700~ were first subjected to tension by an axial force to the plastic stress c(n)zz = 0.0133. They were then twisted with a simultaneous reduction in the tensile force. The tensile force was increased at a certain moment and the turning moment was decreased. The rate of loading of the specimen over the path was constant and was equal to .':; = 25.105 Pa/sec. Loading time was 8.3 min. Here, creep strain at this temperature and loading rate corresponded at the end of the given process to roughly 50% of the total strains. The results of our tests are shown in Table 1, where azz, a~, z are components of the stress tensor and ezz, tr t~,z are components of the strain tensor.We will describe this process using the stress-strain relations in [3, 7, 9, 10], which in the given case of loading specimens by a tensile force and turning moment have the form Here, No = 1" sin 13 . N 1 = P V2-sin (a --13) " " (2) -ff " sin a ' sin ~z ; a = arccos sz=Szz q-2sw~s~~ + 2s,~s~z .% + 2e~ = 9"0(1 --2v)We used the following notation in (1)-(3): I" is shear-strain intensity; S is shear-stress intensity; a is the angle between the stress vector -~ and a tangent to the loading path; /3 is the angle between the strain vector E and this tangent; s is the arc coordinate of the loading path; % is the mean normal stress; t o is the mean relative elongation; G and v are the shear modulus and Poisson's ratio, dependent on temperature; a dot above a letter denotes differentiation with respect to the arc coordinate s.Institute of Mechanics, Academy of Sciences of the Ukraine, Kiev.
The studies [3, 7-9, I 1] proposed governing equations of the theory of thermoviscoelasticity to describe features of the deformation of elements for a body in complex nonisothermal loading processs occurring along arbitrary paths. The studies also described methods of specifying the functionals that enter into these equations. The ~vorks of [2, 3,[7][8][9][10][11][12][13] examined features of the inelastic deformation of certain structural steels and alloys and empirically substantiated the above-mentioned governing equations in the complex isothermal and non-isothermal loading of elements of a body over paths in the form of twobranch broken lines including straight and curved sections. In contrast to this, here we present results of studies of the viscoelastic loading of a structural element at high temperatures along a three-branch path located within one plane of the the space of II'yushin [5J.We used the method proposed in [4, 10] to perform complex active loading along a three-branch path at 700~ The second and third branches were curvilinear. Tubular specimens of alloy E1 437 that had been heated to 700~ were first subjected to tension by an axial force to the plastic stress c(n)zz = 0.0133. They were then twisted with a simultaneous reduction in the tensile force. The tensile force was increased at a certain moment and the turning moment was decreased. The rate of loading of the specimen over the path was constant and was equal to .':; = 25.105 Pa/sec. Loading time was 8.3 min. Here, creep strain at this temperature and loading rate corresponded at the end of the given process to roughly 50% of the total strains. The results of our tests are shown in Table 1, where azz, a~, z are components of the stress tensor and ezz, tr t~,z are components of the strain tensor.We will describe this process using the stress-strain relations in [3, 7, 9, 10], which in the given case of loading specimens by a tensile force and turning moment have the form Here, No = 1" sin 13 . N 1 = P V2-sin (a --13) " " (2) -ff " sin a ' sin ~z ; a = arccos sz=Szz q-2sw~s~~ + 2s,~s~z .% + 2e~ = 9"0(1 --2v)We used the following notation in (1)-(3): I" is shear-strain intensity; S is shear-stress intensity; a is the angle between the stress vector -~ and a tangent to the loading path; /3 is the angle between the strain vector E and this tangent; s is the arc coordinate of the loading path; % is the mean normal stress; t o is the mean relative elongation; G and v are the shear modulus and Poisson's ratio, dependent on temperature; a dot above a letter denotes differentiation with respect to the arc coordinate s.Institute of Mechanics, Academy of Sciences of the Ukraine, Kiev.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.