Numerical Studies of Thermally Induced Residual Strain/Stress in Bi2Sr2Ca2Cu3O x /Ag/Ag Alloy Composite Tapes and the Dependence of Material Properties on the Temperature

Zhang, Zhaoxia; Chen, Wen; Gou, Xiaofan

doi:10.1007/s10948-014-2482-7

Cited by 14 publications

(6 citation statements)

References 22 publications

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“…Table 1 lists the material parameters for all the constituent materials; most are adopted from multiple sources [8,10,11,17,25,[36][37][38]. Only the Young's moduli, yield strengths and tangent moduli of copper and Hastelloy are temperature-dependent and they are obtained from parameter fitting on the experimental data reported in [17].…”

Section: Tapementioning

confidence: 99%

Stress, strain and electromechanical analyses of (RE)Ba₂Cu₃O_xconductors using three-dimensional/two-dimensional mixed-dimensional modeling: fabrication, cooling and tensile behavior

Gao

Chan

Wang

et al. 2020

Supercond. Sci. Technol.

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High temperature superconducting (HTS) conductors, represented by Rare Earth-Barium-Copper-Oxide (REBCO) conductors, are promising for high energy and high field superconducting applications. In practical applications, however, the HTS conductors experience different stresses and strains, including residual stresses due to thermal mismatch and tensile stresses due to Lorentz forces, resulting in some circumstances to a reduction in the load-carrying capacity as well as the risk of degradation in conductor critical current. In this study a mixeddimensional high-aspect-ratio laminated composite finite element model for REBCO conductor is developed for stress and strain analyses in the processes of fabricating and cooling, as well as tensile testing. The model includes all the major constituent layers of a typical REBCO conductor and is experimentally validated. First, the thermal residual stresses and strains accumulated during the fabrication and cooling processes are analyzed by a multi-step modeling method that emulates the manufacturing process. Then, with the residual stresses and strains as initial stresses and strains, the mechanical behavior under a tensile load is studied. Lastly, a phenomenological critical current-strain model based on the Ekin power-law formula and the Weibull distribution function is combined with the mixed-dimensional conductor model to predict the strain dependence behavior of critical current in the reversible and irreversible degradation strain ranges. Simulation results show that the multi-step modeling is an effective method for stress and strain analyses of REBCO conductors during the fabrication and cooling processes and under and tensile loads. Compressive thermal residual stress generated on the REBCO layer during fabrication and cooling strongly affects the subsequent mechanical and current-carrying properties. Stress-strain curves generated by tensile loads are analyzed and experimentally validated at both the conductor and constituent-layer levels. Simulation results for the strain dependence of critical current are in good agreement with experiment data in both the reversible and irreversible degradation stages.

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Section: Tapementioning

confidence: 99%

Stress, strain and electromechanical analyses of (RE)Ba₂Cu₃O_xconductors using three-dimensional/two-dimensional mixed-dimensional modeling: fabrication, cooling and tensile behavior

Gao

Chan

Wang

et al. 2020

Supercond. Sci. Technol.

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“…For HTS, 𝜀 irr can be usually given by the fracture strain-𝜀 r . [31] Thus in the relation of 𝐼 c versus 𝜀, 𝜀 r , indeed, plays a very important role. To investigate the influence of 𝜀 r , in the two cases with/without residual strain, on the lattice model we perform a further calculation using the relation of 𝐼 c /𝐼 c0 versus 𝜀, as shown in Fig.…”

Section: Normalized Critical Currentmentioning

confidence: 99%

A Modified Lattice Model of the Reversible Effect of Axial Strain on the Critical Current of Polycrystalline REBa ₂ Cu ₃ O _{7—
δ} Films

Gou

Zhu

2015

Chinese Phys. Lett.

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The strain effect on the critical current is one of the most important properties for polycrystalline YBa2Cu3O 7−𝛿 (REBCO, RE: rare earth) films, in which the reversible effect is intrinsic in the range of strain 0 and the irreversible strain 𝜀irr. By introducing the applied strain, a modified lattice model combining the strain and misorientation of grain boundaries (GBs) in the REBCO film is developed. A good agreement of the calculation on the lattice model with the experimental data shows that the lattice model is able to well describe the reversible effect of axial strain on the critical current of the REBCO film, and provides a good understanding of the mechanism of the reversible effect of the strain. Moreover, the effects of the crystallographic texture of the REBCO film and the residual strain 𝜀r on the variation of the critical current with the applied strain are extensively investigated. Furthermore, by using the developed lattice model, the irreversible strain 𝜀irr of the REBCO film can be theoretically determined by comparing the calculation of the critical current-strain curve with the experimental data.

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“…The improvement in I c is ascribed to filament densification, second phase reduction, and voids, pores, and defects elimination from the final product. On one hand side, intriguing methods have recently been View Article Online employed to estimate the residual strain in Bi -2223 filaments of the [2][3][4][5] composite wires. An in situ synchrotron x -ray technique is used 2 for the estimation of temperature induced residual strain at 77 K. Elastic constant of the Bi -2223 phase is measured under tensile load by a defractometer for residual stress analysis, (RESA) and the resulting data is compared with that obtained from a reference 3 sample at RT.…”

Section: Introductionmentioning

confidence: 99%

“…4, fortunately or unfortunately this is not the case. A subtle residual strain scatter is so results from [2][3][4][5][6][7][8][9][10][11][12][13][14][26][27][28][29][30][31][32] each experiment. Note that the above estimation is a rough one but nonetheless, the achieved σ -ε values from these tests were useful for describing the strain hardening and the pre-compressive force features of this composite wire.…”

mentioning

confidence: 99%

Modulated Rate (Time) – Dependent Strain Hardening of Ag/Bi2223 Composite Wire Flattened in a Low – Strength AgMg Alloy Matrix

Adam¹,

Mele²

2018

ES Mater.Manuf.

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The strain hardening and the pre-compressive forces exerted on the ceramic filaments in Ag/Bi Sr Ca Cu O (BSCCO or Bi -2223 in 2 2 2 3 10+x short) composite wire is analysed and discussed in detail. Tensile stress-strain σ-ε, hardening -relaxation σ(ε(t)) , and the straindependent critical current I (ε) analysis and measurements were carried out on specimen wire at 77 K. An analysis based on fractal C hardening model is presented such that the applied strain starts to exponentially decline at time t = d when normalised σ(t) value equals the value used for the calculation of the composite modulus of elasticity. A biexponential model is further employed over the causally convolved experimental data in order to analyse and compare the relaxation process from both the fractal order and the unnormalised stress range, respectively. Eventually, since the weak metallic part of the composite indicates an abrupt transition from elasticity to direct plasticity, σ-ε data were further analysed by a rate -dependent power -law hardening of the Ramberg -Osgood type. The highest attainable residual strain is therefore used to estimate the intrinsic strain in Bi -2223 filaments when the pre-compressive stress is completely depleted.

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Numerical Studies of Thermally Induced Residual Strain/Stress in Bi2Sr2Ca2Cu3O x /Ag/Ag Alloy Composite Tapes and the Dependence of Material Properties on the Temperature

Cited by 14 publications

References 22 publications

Stress, strain and electromechanical analyses of (RE)Ba₂Cu₃O_xconductors using three-dimensional/two-dimensional mixed-dimensional modeling: fabrication, cooling and tensile behavior

Stress, strain and electromechanical analyses of (RE)Ba₂Cu₃O_xconductors using three-dimensional/two-dimensional mixed-dimensional modeling: fabrication, cooling and tensile behavior

A Modified Lattice Model of the Reversible Effect of Axial Strain on the Critical Current of Polycrystalline REBa ₂ Cu ₃ O _{7—
δ} Films

Modulated Rate (Time) – Dependent Strain Hardening of Ag/Bi2223 Composite Wire Flattened in a Low – Strength AgMg Alloy Matrix

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Numerical Studies of Thermally Induced Residual Strain/Stress in Bi2Sr2Ca2Cu3O x /Ag/Ag Alloy Composite Tapes and the Dependence of Material Properties on the Temperature

Cited by 14 publications

References 22 publications

Stress, strain and electromechanical analyses of (RE)Ba2Cu3Oxconductors using three-dimensional/two-dimensional mixed-dimensional modeling: fabrication, cooling and tensile behavior

Stress, strain and electromechanical analyses of (RE)Ba2Cu3Oxconductors using three-dimensional/two-dimensional mixed-dimensional modeling: fabrication, cooling and tensile behavior

A Modified Lattice Model of the Reversible Effect of Axial Strain on the Critical Current of Polycrystalline REBa 2 Cu 3 O 7— δ Films

Modulated Rate (Time) – Dependent Strain Hardening of Ag/Bi2223 Composite Wire Flattened in a Low – Strength AgMg Alloy Matrix

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Stress, strain and electromechanical analyses of (RE)Ba₂Cu₃O_xconductors using three-dimensional/two-dimensional mixed-dimensional modeling: fabrication, cooling and tensile behavior

Stress, strain and electromechanical analyses of (RE)Ba₂Cu₃O_xconductors using three-dimensional/two-dimensional mixed-dimensional modeling: fabrication, cooling and tensile behavior

A Modified Lattice Model of the Reversible Effect of Axial Strain on the Critical Current of Polycrystalline REBa ₂ Cu ₃ O _{7—
δ} Films