The creep behavior of simple structures with a stress range-dependent constitutive model

Abstract

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Stress relaxation and elastic follow-up using a stress range-dependent constitutive model

“…This result may seem surprising at first. In reference [22], it is shown in a study of a beam in bending and a pressurized thick cylinder that, for load-controlled steady creep and values of maximum elastic stress 50 per cent above the transition stress in the modified power-law, the pure power-law solution does dominate as expected. However, this is apparently not the case for stress relaxation (at least in the present simple example).…”

“…10 Equivalent stress-strain trajectories for the evaluation point of Y-piece from ABAQUS FEA with pure power-law creep Fig. 11 Equivalent stress-strain trajectories for evaluation point of Y-piece from ABAQUS FEA with modified power-law creep in Section 3 and it is seen that the linear viscous part of the modified power-law has a significant effect in stress relaxation, more so than what is observed for constant load steady creep [16,22]. The simple twobar structure [4] has long been used as a reference benchmark in studies of elastic follow-up [4][5][6][7][8][9][10]: assuming a creep law based on power-law secondary creep alone, it can be shown that this structure has a stress-strain trajectory which is indeed independent of the power index.…”

“…Equation ( 5), which shall be referred to as a 'modified powerlaw' for simplicity, was used by Naumenko et al [16] to examine how the stress system in simple components -uniaxial stress relaxation, a beam in bending and a pressurized thick cylinder -would change compared to pure linear and pure power-law behaviour. In this article, the stress relaxation problem will be reexamined in more detail in the context of a more detailed analysis of elastic follow-up -the beam and thick cylinder problems are considered in more detail elsewhere [22], in particular the applicability of simplified methods and deformation behaviour.…”

Creep Behavior of Red-Clay Under Triaxial Compression Condition

“…Such processes include creep, stress relaxation, long-term strength, elastic lag, etc. (Grimstad et al, 2010;Yin and Tong, 2011;Boyle, 2012;Zhao et al, 2017a,b), among which the creep behavior of the soil is the most extensive research topic. Excessive creep in the soil can lead to differential settlement in buildings, dam foundation failures, and landslides.…”

A constitutive model for inelastic behavior of casting materials under thermo-mechanical loading

“…For example, creep over a range of stress does not follow one simple power law relationship and typically exhibits one power law at low stress and another at high stress—a phenomenon known as power law breakdown. 16 To capture this behavior, stress range dependent response functions 17–20 or constitutive models with several internal state variables 21,22 are developed. To calibrate such models, many experimental data and advanced identification methods are required.…”