Preprint / Version 3

Analysis of Creep Deformation

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  • Sourangshu Ghosh Indian Institute of Science Bangalore

DOI:

https://doi.org/10.31224/4244

Keywords:

Mathematical Formulation of Creep Mechanisms, Phenomenological Description of Creep, Sintering, Examples of Creep Deformation, Larson-Miller Parameter and Monkman Grant Rule, Multi-Axial Creep and Damage Mechanics, Creep Testing, Environmental Effects on Creep: Oxidation and Irradiation, Increasing Creep Resistance, Creep Prevention in Superalloys, Famous Accidents, Introduction to Creep Deformation

Abstract

Creep deformation, a time-dependent material response under sustained stress, plays a critical role in the long-term performance and reliability of structural components, particularly at elevated temperatures. This article presents a mathematically rigorous analysis of creep deformation mechanisms and a phenomenological framework to describe its stages and evolution. By coupling microstructural insights with continuum mechanics, we derive and validate constitutive models capturing the interplay of stress, temperature, and material properties. The analysis integrates diffusion kinetics, dislocation dynamics, and grain boundary phenomena into a unified formalism, ensuring precision in predicting creep behavior across a wide spectrum of materials.

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Posted

2024-12-20 — Updated on 2025-09-08

Versions

Version justification

In this revised version, a new chapter on “Plasticity Models of Creep Deformation” has been introduced to enhance the theoretical depth and completeness of the article. While the earlier version focused primarily on phenomenological creep formulations, this addition integrates plasticity-based constitutive models that provide a thermodynamically consistent framework for describing time-dependent inelasticity. The new chapter bridges creep and plasticity, unifying them under viscoplastic formulations that account for microstructural evolution, damage, and multiaxial loading. This significantly strengthens both the scientific rigor and engineering relevance of the article for modern high-temperature structural applications. The literature review of various creep phenomena discussed in this article has been extensively expanded to incorporate a broader range of classical models, modern viscoplastic formulations, and recent advances in damage-coupled creep analyses, thereby providing a more comprehensive scientific context and highlighting current research directions.