Investigation of a fractional derivative creep model of clay and its numerical implementation

2020 ◽  
Vol 119 ◽  
pp. 103387 ◽  
Author(s):  
Xu-Bing Xu ◽  
Zhen-Dong Cui
2020 ◽  
Vol 150 ◽  
pp. 103600 ◽  
Author(s):  
Fei Wu ◽  
Hao Zhang ◽  
Quanle Zou ◽  
Cunbao Li ◽  
Jie Chen ◽  
...  

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Zhilei He ◽  
Zhende Zhu ◽  
Nan Wu ◽  
Zhen Wang ◽  
Shi Cheng

Based on mineral components and the creep experimental studies of Three Gorges granite and Beishan granite from different regions of China at various temperatures, the strength and creep property of two types of granites are compared and analyzed. Considering the damage evolution process, a new creep constitutive model is proposed to describe the creep property of granite at different temperatures based on fractional derivative. The parameters of the new creep model are determined on the basis of the experimental results of the two granites. In addition, a sensitivity study is carried out, showing effects of stress level, fractional derivative order, and the exponentm. The results indicate that the proposed creep model can describe the three creep stages of granite at different temperatures and contribute to further research on the creep property of granite.


2021 ◽  
Author(s):  
Lei Zhang ◽  
Hongwei Zhou ◽  
Xiangyu Wang ◽  
Lei Wang ◽  
Teng Su ◽  
...  

2003 ◽  
Vol 779 ◽  
Author(s):  
T. John Balk ◽  
Gerhard Dehm ◽  
Eduard Arzt

AbstractWhen confronted by severe geometric constraints, dislocations may respond in unforeseen ways. One example of such unexpected behavior is parallel glide in unpassivated, ultrathin (200 nm and thinner) metal films. This involves the glide of dislocations parallel to and very near the film/substrate interface, following their emission from grain boundaries. In situ transmission electron microscopy reveals that this mechanism dominates the thermomechanical behavior of ultrathin, unpassivated copper films. However, according to Schmid's law, the biaxial film stress that evolves during thermal cycling does not generate a resolved shear stress parallel to the film/substrate interface and therefore should not drive such motion. Instead, it is proposed that the observed dislocations are generated as a result of atomic diffusion into the grain boundaries. This provides experimental support for the constrained diffusional creep model of Gao et al.[1], in which they described the diffusional exchange of atoms between the unpassivated film surface and grain boundaries at high temperatures, a process that can locally relax the film stress near those boundaries. In the grains where it is observed, parallel glide can account for the plastic strain generated within a film during thermal cycling. One feature of this mechanism at the nanoscale is that, as grain size decreases, eventually a single dislocation suffices to mediate plasticity in an entire grain during thermal cycling. Parallel glide is a new example of the interactions between dislocations and the surface/interface, which are likely to increase in importance during the persistent miniaturization of thin film geometries.


Kerntechnik ◽  
2020 ◽  
Vol 85 (6) ◽  
pp. 419-425
Author(s):  
P. Konarski ◽  
C. Cozzo ◽  
G. Khvostov ◽  
H. Ferroukhi
Keyword(s):  

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