Reply to the discussion on “effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading” by Zhe Luo
The authors recently published work on failure mechanisms and undrained capacities of strip foundations on spatial variable soils (Shen et al., 2021, called the original paper hereafter). In order to improve the computational efficiency of random finite element analysis (RFEA), a non-uniform mes...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/159750 |
| _version_ | 1826120535504846848 |
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| author | Shen, Zhichao Jin, Dalong Pan, Qiujing Yang, Haoqing Chian, Siau Chen |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Shen, Zhichao Jin, Dalong Pan, Qiujing Yang, Haoqing Chian, Siau Chen |
| author_sort | Shen, Zhichao |
| collection | NTU |
| description | The authors recently published work on failure mechanisms and
undrained capacities of strip foundations on spatial variable soils (Shen
et al., 2021, called the original paper hereafter). In order to improve the
computational efficiency of random finite element analysis (RFEA), a
non-uniform mesh was employed in the original paper. Luo (2021)
stated that such non-uniform mesh resulted in a different degree of
variance reduction over the random field (RF) and thus disobeyed the
stationarity of the RF based on viewpoints of spatial averaging (SA)
discretization method. However, as introduced in Section 3.2 in the
original paper, the midpoint (MP) discretization method was used to
discretize the RF, rather than the SA discretization method. Note that
MP and SA are two very different methods for the discretization of RF in
the RFEA. The material value for an element is represented by the RF
value calculated at its centroid for the MP discretization method,
whereas the material value for an element is represented by the spatial
average of RF over the element for the SA discretization method. There
is spatial averaging for SA, which results in significant variance reduction for a very coarse mesh. In contrast, there is no spatial averaging for
MP, and thus no variance reduction (Tabarroki and Ching, 2019).
Therefore, the discusser’s judgement based on viewpoints of the SA
discretization method to a RF discretized by the MP method is not
relevant. |
| first_indexed | 2024-10-01T05:18:03Z |
| format | Journal Article |
| id | ntu-10356/159750 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:18:03Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1597502022-07-01T05:43:27Z Reply to the discussion on “effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading” by Zhe Luo Shen, Zhichao Jin, Dalong Pan, Qiujing Yang, Haoqing Chian, Siau Chen School of Civil and Environmental Engineering Engineering::Civil engineering Strength Soil The authors recently published work on failure mechanisms and undrained capacities of strip foundations on spatial variable soils (Shen et al., 2021, called the original paper hereafter). In order to improve the computational efficiency of random finite element analysis (RFEA), a non-uniform mesh was employed in the original paper. Luo (2021) stated that such non-uniform mesh resulted in a different degree of variance reduction over the random field (RF) and thus disobeyed the stationarity of the RF based on viewpoints of spatial averaging (SA) discretization method. However, as introduced in Section 3.2 in the original paper, the midpoint (MP) discretization method was used to discretize the RF, rather than the SA discretization method. Note that MP and SA are two very different methods for the discretization of RF in the RFEA. The material value for an element is represented by the RF value calculated at its centroid for the MP discretization method, whereas the material value for an element is represented by the spatial average of RF over the element for the SA discretization method. There is spatial averaging for SA, which results in significant variance reduction for a very coarse mesh. In contrast, there is no spatial averaging for MP, and thus no variance reduction (Tabarroki and Ching, 2019). Therefore, the discusser’s judgement based on viewpoints of the SA discretization method to a RF discretized by the MP method is not relevant. 2022-07-01T05:43:27Z 2022-07-01T05:43:27Z 2022 Journal Article Shen, Z., Jin, D., Pan, Q., Yang, H. & Chian, S. C. (2022). Reply to the discussion on “effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading” by Zhe Luo. Computers and Geotechnics, 142, 104539-. https://dx.doi.org/10.1016/j.compgeo.2021.104539 0266-352X https://hdl.handle.net/10356/159750 10.1016/j.compgeo.2021.104539 2-s2.0-85118759096 142 104539 en Computers and Geotechnics © 2021 Elsevier Ltd. All rights reserved. |
| spellingShingle | Engineering::Civil engineering Strength Soil Shen, Zhichao Jin, Dalong Pan, Qiujing Yang, Haoqing Chian, Siau Chen Reply to the discussion on “effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading” by Zhe Luo |
| title | Reply to the discussion on “effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading” by Zhe Luo |
| title_full | Reply to the discussion on “effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading” by Zhe Luo |
| title_fullStr | Reply to the discussion on “effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading” by Zhe Luo |
| title_full_unstemmed | Reply to the discussion on “effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading” by Zhe Luo |
| title_short | Reply to the discussion on “effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading” by Zhe Luo |
| title_sort | reply to the discussion on effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading by zhe luo |
| topic | Engineering::Civil engineering Strength Soil |
| url | https://hdl.handle.net/10356/159750 |
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