The Triadic Stress Principle: A Structural Account of Load, Tolerance, and Pre-Failure Dynamics

Following the Triadic Completion Principle, which defines the minimal condition for system validity, and the Triadic Failure Principle, which defines breakdown under missing components, this paper introduces the Triadic Stress Principle. A system enters a stress regime when all three irreducible components—potential (♾️), anchor (●), and structure (■)—are present but imbalanced under load. Stress is defined as the condition in which applied load exceeds system tolerance, producing predictable deformation modes that precede failure. This framework provides a minimal, domain-neutral account of pre-failure dynamics operating prior to modelling, explanation, or optimisation.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-20
DOI
https://doi.org/10.5281/zenodo.19123966
Primary Topic
Elasticity and Material Modeling
Type
article
Field-Weighted Citation Impact
0.00
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article

The Triadic Stress Principle: A Structural Account of Load, Tolerance, and Pre-Failure Dynamics

Andrew John Paton
Zenodo (CERN European Organization for Nuclear Research)
Elasticity and Material Modeling
article

The Triadic Stress Principle: A Structural Account of Load, Tolerance, and Pre-Failure Dynamics

Andrew John Paton
article en

Abstract

Following the Triadic Completion Principle, which defines the minimal condition for system validity, and the Triadic Failure Principle, which defines breakdown under missing components, this paper introduces the Triadic Stress Principle. A system enters a stress regime when all three irreducible components—potential (♾️), anchor (●), and structure (■)—are present but imbalanced under load. Stress is defined as the condition in which applied load exceeds system tolerance, producing predictable deformation modes that precede failure. This framework provides a minimal, domain-neutral account of pre-failure dynamics operating prior to modelling, explanation, or optimisation.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 14%
Elasticity and Material Modeling
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