TTS-Integrate: A Unified Framework for Mechanism-Resolved and Transformation-Aware Modelling in Creep Damage and Extrapolation

This paper introduces TTS-Integrate; a unified modeling framework firmly grounded in the time–temperature–stress–mechanism (TTS-M) paradigm. It reconciles two distinct but complementary strategies in creep damage modeling: field-wide, mechanism-resolved continuity and regime-sensitive, transformation-aware logic. The framework aims to accurately represent creep deformation and damage by integrating three core components (1) a modified minimum creep strain rate function applicable across a wide range of stress levels, (2) a cavitation damage formulation defined by fundamental independent variables—time, temperature, and stress—as w(t,T,σ)=U'(T,σ)*t^m, and (3) a constitutive mechanism that models the influence of cavitation damage on creep deformation through a power-law relation. TTS-Integrate synthesizes top-down continuity and bottom-up transformation awareness into a methodologically rigorous structure that corrects legacy empirical simplifications. It provides extrapolation reliability and mechanism fidelity while remaining generalizable to other damage phenomena such as precipitation coarsening and brittle fracture. By coupling creep damage and deformation coherently, TTS-Integrate establishes a foundational advance in predictive modeling. Its principles are also applicable to domains such as rock mechanics and polymer viscoelasticity, reinforcing its cross-disciplinary relevance.