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Structural Engineering and Mechanics Volume 18, Number 5, November 2004 , pages 565-589 DOI: https://doi.org/10.12989/sem.2004.18.5.565 |
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Non-linear rheology of tension structural element under single and variable loading history Part I: Theoretical derivations |
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S. Kmet
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| Abstract | ||
| The present paper concerns the macroscopic overall description of rheologic properties for steel wire and synthetic fibre cables under variable loading actions according to non-linear creep and/or relaxation theory. The general constitutive equations of non-linear creep and/or relaxation of tension elements - cables under one-step and the variable stress or strain inputs using the product and two types of additive approximations of the kernel functions are presented in the paper. The derived non-linear constitutive equations describe a non-linear rheologic behaviour of the cables for a variable stress or strain history using the kernel functions determined only by one-step - constant creep or relaxation tests. The developed constitutive equations enable to simulate and to predict in a general way non-linear rheologic behaviour of the cables under an arbitrary loading or straining history. The derived constitutive equations can be used for the various tension structural elements with the non-linear rheologic properties under uniaxial variable stressing or straining. | ||
| Key Words | ||
| non-linear creep of cable; non-linear relaxation of cable; variable stress or strain history; non-linear constitutive equation; kernel functions; approximations of the kernel functions. | ||
| Address | ||
| Faculty of Civil Engineering, Technical University of Kosice, Vysokoskolska 4, 042 00 Kosice, Slovak Republic | ||