Analytical undrained bearing capacity models for spatially variable soils: mechanisms, uncertainty, and diagnostic maps
Bibliographic record
Abstract
Soil strength exhibits natural spatial variability, which obscures the stochastic link between failure mechanisms and bearing capacity. This study establishes an analytical framework that couples multiple kinematically admissible mechanisms with random field theory to quantify the undrained bearing capacity of footings on soil with spatially variable strength. The analytical solutions show good agreement with numerical simulations in evaluating the undrained bearing capacity. Subsequently, the influence of spatial variability in undrained shear strength on the statistics of bearing capacity was investigated, providing insight into the distribution of critical failure mechanisms. Furthermore, this study introduces a failure-frequency map representing the spatial distribution of failure possibility, which can serve as a diagnostic tool to guide ground improvement from a random field perspective. Overall, the analytical model offers direct insights into critical failure mechanisms and their associated influence on bearing capacity under random field conditions, while still retaining the fidelity of probabilistic analyses involving extensive Monte Carlo simulations.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.006 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.000 | 0.002 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".