Generalized thermoelastic medium with diffusion and initial stress with double porosity structure under 3PHL model
Why this work is in the frame
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Bibliographic record
Abstract
Purpose The purpose of this study is to investigate the combined effect of initial stress, diffusion and double porosity on thermomechanical behavior, which was overlooked in previous studies that looked at these elements independently. Understanding how initial stress, diffusion and double porosity interact in thermoelastic media is critical for accurately simulating real-world porous structures like geological formations and smart materials. Most existing studies consider these effects separately, limiting realistic predictions. This work fills that gap by providing a coherent framework with practical applications in geophysics, petroleum engineering and material design. Therefore, this work analyzes the effect of initial stress on a two-dimensional thermoelastic medium with a double-porosity structure in the presence of diffusion based on the generalized thermoelasticity and the three-phase-lag (3PHL) heat conduction model. Design/methodology/approach Analytical solutions were derived with the normal mode method, supported by numerical results under specific boundary conditions. The model captures the interaction between stress, thermal and diffusive processes in a unified way. Findings Results show that changes in relaxation times and initial stress significantly influence the dynamic response of the medium. The study highlights clear coupling between thermal, mechanical and diffusion effects. Research limitations/implications The analysis is limited to a two-dimensional, homogeneous, linear model without experimental validation. Future research should extend it to nonlinear, heterogeneous and three-dimensional systems. Originality/value To the best of authors’ knowledge, this is the first work to integrate initial stress, double porosity and diffusion within a single thermoelastic framework using the 3PHL model. It provides new insights with applications in geophysics, petroleum engineering, rock mechanics and smart material design.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 it