Terminal Compatibility and Admissibility of a Meridional Caputo Flow Rule in Transformed-Stress Clay Plasticity
4 affiliations
- 1Department of Civil Engineering, Mahasarakham University, Maha Sarakham 44150, Thailand
- 2Department of Transportation, Rajamangala University of Technology Isan, Nakhon Ratchasima 30000, Thailand
- 3Department of Civil Engineering, Burapha University, Chonburi 20131, Thailand
- 4College of Engineering, Northeastern University, Boston, MA 02115, USA
Abstract
A clay flow rule governs contraction or dilation during plastic shearing. We audit a terminal-directed scalar Caputo integral on a teardrop meridian under specified elasticity and hardening. Its zero coincides with the non-associated base-model terminal only if Ω = Ψ. Normally consolidated analysis establishes a stationary stress ratio, mean and deviatoric stresses, and surface size, with continuing plastic shear in the numerical coordinate. For inherited kaolin coefficients, the limiting pressures differ by 18.6% on a common stress locus. Both branches approach their limits asymptotically, with logarithmic divergence of the loading coordinate for the base rule and power-law divergence for the Caputo rule. Mean-stress preservation permits exact scalar composition with the Spatially Mobilised Plane transformation but supplies no physical strain mapping. Two overconsolidated substitutions, F1 and F2, defined here rather than reproduced from published models, expose hardening mismatch, exterior drift, loss of an inherited positive-modulus condition, or negative work under the declared pairing. Fujinomori stress-locus agreement cannot identify fractional order or validate deformation. These results establish compatibility requirements for the specified scalar embedding, not a complete clay model, predictive stress–strain capability, or physical dissipation proof.
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BibTeX
@article{kaewhanam2026terminal,
title = {{Terminal Compatibility and Admissibility of a Meridional Caputo Flow Rule in Transformed-Stress Clay Plasticity}},
author = {Nopanom Kaewhanam and Thammanun Chatwong and Apichit Kampala and Sitthiphat Eua-apiwatch and Sivarit Sultornsanee},
journal = {Fractal and Fractional},
year = {2026},
month = oct,
doi = {10.3390/fractalfract10100704},
url = {https://www.mdpi.com/2504-3110/10/10/704},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Terminal Compatibility and Admissibility of a Meridional Caputo Flow Rule in Transformed-Stress Clay Plasticity
AU - Nopanom Kaewhanam
AU - Thammanun Chatwong
AU - Apichit Kampala
AU - Sitthiphat Eua-apiwatch
AU - Sivarit Sultornsanee
PY - 2026
DA - 2026/10/07
JO - Fractal and Fractional
DO - 10.3390/fractalfract10100704
UR - https://www.mdpi.com/2504-3110/10/10/704
AB - A clay flow rule governs contraction or dilation during plastic shearing. We audit a terminal-directed scalar Caputo integral on a teardrop meridian under specified elasticity and hardening. Its zero coincides with the non-associated base-model terminal only if Ω = Ψ. Normally consolidated analysis establishes a stationary stress ratio, mean and deviatoric stresses, and surface size, with continuing plastic shear in the numerical coordinate. For inherited kaolin coefficients, the limiting pressures differ by 18.6% on a common stress locus. Both branches approach their limits asymptotically, with logarithmic divergence of the loading coordinate for the base rule and power-law divergence for the Caputo rule. Mean-stress preservation permits exact scalar composition with the Spatially Mobilised Plane transformation but supplies no physical strain mapping. Two overconsolidated substitutions, F1 and F2, defined here rather than reproduced from published models, expose hardening mismatch, exterior drift, loss of an inherited positive-modulus condition, or negative work under the declared pairing. Fujinomori stress-locus agreement cannot identify fractional order or validate deformation. These results establish compatibility requirements for the specified scalar embedding, not a complete clay model, predictive stress–strain capability, or physical dissipation proof.
SN - 2504-3110
ER -