• KSCE Journal of Civil and Environmental Engineering Research
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• v.29 no.4C
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• pp.175-182
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• 2009

The stress-strain relationship of an unsaturated soil was analyzed by Bishop stress descriptions in this study. The failure criteria could be defined uniquely by the Bishop stress and were also independent of matric suctions. In the low level of matric suctions the failure criteria have a linear relationship and the estimated criterion fitted the measured accurately. Deformation moduli in the small strain level were linearly increased generally with respect to Bishop stress.

• Journal of English Language & Literature
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• v.55 no.1
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• pp.25-59
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• 2009

This study explores the characteristics of Elizabeth Bishop's poetry in comparison with the two of her closest friends and poets, Marianne Moore and Robert Lowell. Bishop's reputation has dramatically changed since her death. In the 1970s she was "a writer's writer's writer," and admired by a small group of poets or critics. Since 1990s, however, there has been a great shift in the evaluation of her poetry, which is so called "The Elizabeth Bishop Phenomenon." It does not seem to be an easy task to examine what has driven the phenomenon, and why she used to be a minor poet or "the most honored yet most elusive of poets" but now she has a widespread recognition by the academy and beyond it. The "intrinsic qualities" of Bishop's poetry, however, can be one of the main reasons why it took several decades for Bishop to become a central figure in the literary canon. Looking into her "intrinsic qualities," this paper discusses Bishop's "The Fish," "Roosters" through the Moore-Bishop relationship, and reads Bishop's "Armadillo" and "The Monument" through the Lowell-Bishop relationship. It also deals with letters, interviews, Moore's "The Fish," and Lowell's "Skunk Hour" and "For the Union Dead" to show the Bishop's deep and complex relationships with the two poets, and more importantly their differences. Bishop's poetry is difficult, "elusive," and sometimes "enigmatic," not because her texts are full of difficult words to understand but because there are the subtle interchange between perception and meaning, "the dynamics of keen feeling," the unresolved patterns, and the transient vision under the seemingly transparent surface of the texts.

• Journal of the Korean Geotechnical Society
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• v.24 no.7
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• pp.17-24
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• 2008

In this study, the triaxial behaviour of an unsaturated soil was analyzed by Bishop stress descriptions. $K_0$ stress paths and those final values were independent of matric suctions after describing by the Bishop stress. The failure criteria could be defined uniquely by the Bishop stress and were also independent of matric suctions. In the low level of matric suctions the failure criteria have a linear relationship and the estimated criterion fits the measured accurately. The variable ${\chi}$ for describing the Bishop stress was a constant theoretically under the low level of matric suctions. The suction stress could be defined at zero deviatoric stress in the failure criteria and increased linearly with respect to matric suctions in both the theory and the experiments.

• Honam Mathematical Journal
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• v.45 no.4
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• pp.610-618
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• 2023

In this paper, we obtain (k, m)-type slant helices for a null Cartan curve with the Bishop frame in Minkowski space E⁴₁.

• Advances in nano research
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• v.15 no.1
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• pp.75-89
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• 2023

In this paper, Bishop theory performs longitudinal vibration analysis of Nano-beams. Its governing equation, due to integrated displacement field and more considered primarily effects compared with other theories, enjoys fully completed status, and more reliable results as well. This article aims to find how Bishop theory and Two-phase elasticity work together. In other words, whether Bishop theory will be compatible with Two-phase local/nonlocal elasticity. Hamilton's principle is employed to derive governing equation of motion, and then the 6th order of Generalized Differential Quadrature Method (GDQM) as a constructive numerical method is utilized to attain the discretized two-phase formulation. To acquire a proper verification procedure, exact solution is prepared to be compared with current results. Furthermore, the effects of key parameters on the objective are investigated.

• Korean Journal of Agricultural Science
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• v.8 no.2
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• pp.179-184
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• 1981

This paper has been prepared to compare the safety factor of Fellenius method and Bishop method which are most frequantly utilized for stability analysis of dam and natural slope. The results are as follows. 1. Safety factor obtained by Bishop method shows 11-29% higher in steady seepage state and 46-57% higher in no seepage flow than the one by Fellenius. 2. The ratio of safety factor between no seepage flow and seepage flow ($F_1-F_2/F_2$) increases as the slope becomes flatter. 3. The ratio of safety factor between Bishop method and Fellenius ($F_B-F_F/F_F$) decreases as the slope becomes flatter.

• Magazine of the Korean Society of Agricultural Engineers
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• v.33 no.4
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• pp.105-120
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• 1991

This study was performed to investigate the minimum safety factor of embankment in consideration of seismic coefficient by the psuedo-static analysis The variables were cohesion, the internal friction angle, angle of slope, height of seepage, height of embankment, depth of replacement The results obtained were compared with those by Fellenius method, simplified Bishop method and Janbu method. The results were summarized as follows: 1.The increasing rate of the minimum safety factor with the increasing of cohesion appeared larger in Fellenius method and Bishop method than in Janbu method. And that with the increasing of the internal friction angle appeared the lowest value in Janbu method. The minimum safety factor was influenced larger on the internal friction angle than on cohesion. 2.The variation of the minimum safety factor with the height of seepage at 0m and 5 m was nearly similar to Fellenius method, Bishop method and Janbu method. On the other hand, it was decreased suddenly at 25 m. 3.The minimum safety factor with the height of embankment was decreased remarkably under 10 m with the increasing of seismic coefficient. But, it was decreased slowly more than 10 m. As the height of embankment was low, the influence of cohesion appeared larger. 4.In heigher case of the depth of replacement, the phenomenon of reduction of the minimum safety factor appeared remarkably with seismic coefficient increased. And in lower case of the depth of replacement, the minimum safety factor was similar in Fellenius method and Bishop mehtod. But it appeared larger in Bishop method and Janbu method than in Fellenius method with the depth of replacement increased. 5.As the cohesion and the internal friction angle were large, the phenomenon of reduction of the minimum safety factor with the increasing of seismic coefficient appeared remarkably. Also, the influence of seismic coefficient in minimum safety factor appeared larger with the soil parameter increased. 6.When the seismic coefficient was considerated, investigation of the structural body on the slope stability appeared profitably in Fellenius method and Janbu method than in Bishop method.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.3
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• pp.419-429
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• 2015

In this paper, we study properties SVEP, Bishop's property (${\beta}$), property (${\delta}$), decomposability, property $({\beta})_{\epsilon}$, subscalarity, Kato spectrum, generalized Kato decomposition, finite ascent for bounded linear operators in Banach spaces.

• Journal of the Korean Mathematical Society
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• v.53 no.3
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• pp.533-547
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• 2016

We prove an Omori-Yau maximum principle on Alexandrov spaces which do not have Perelman singular points and satisfy the infinitesimal Bishop-Gromov condition.

• The Pure and Applied Mathematics
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• v.5 no.1
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• pp.23-32
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• 1998

In the present paper the author studies the decomposition property ($\delta$) of the bounded linear operators.