Self-consistent clustering analysis for modeling of theromelastic heterogeneous materials

Satyajit Mojumder, Jiaying Gao, Wing Kam Liu*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations


Thermal residual stress is identified as one of the major reasons of stress concentration in material's microstructures which initiates failure in the microstructure. Considering the details of microstructural features (inclusions shape, size, and distri-bution) can provide better understanding of the thermal residual stress developed in the materials due to the temperature change. In this paper, we have extended the self-consistent clustering analysis (SCA) method for efficient and accurate modeling of thermal residual stress for thermoelastic heterogeneous materials. The governing equations of the thermoelasticity has been implemented through a eigenstrain problem and solved using a Fast Fourier Transform (FFT) based solution scheme and later extended for SCA formulation. The thermoelastic formulation of SCA method has been verified for a single inclusion (homogeneous and inhomoge-neous) problem with the analytical solution of Eshelby and the FFT-based solution for multiple clusters. An example problem with multiple inhomogeneous inclusions has been solved for different temperatures and the residual stress developed has been analyzed. Results show that the thermoelastic formulation of SCA can have order of hundred times speed up compare to the traditional FFT-based solution scheme. The proposed methodology can be implemented in thermomechanical problems and provide efficient multiscale capabilities for prediction of thermal residual stress.

Original languageEnglish (US)
Title of host publicationProceedings of 13th International Conference on Mechanical Engineering, ICME 2019
EditorsMuhammad Mahbubul Alam, Muhammad Ashiqur Rahman, Mohammad Ali
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440685
StatePublished - Feb 25 2021
Event13th International Conference on Mechanical Engineering, ICME 2019 - Dhaka, Bangladesh
Duration: Dec 18 2019Dec 20 2019

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


Conference13th International Conference on Mechanical Engineering, ICME 2019

ASJC Scopus subject areas

  • General Physics and Astronomy


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