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A Coupled Thermomechanical Crack Propagation Behavior of Brittle Materials by Peridynamic Differential Operator

Tianyi Li1,2, Xin Gu2, Qing Zhang2,*

1 College of Architectural Engineering, Jiangsu Open University, Nanjing, 210036, China
2 Department of Engineering Mechanics, Hohai University, Nanjing, 211100, China

* Corresponding Author: Qing Zhang. Email: email

Computer Modeling in Engineering & Sciences 2024, 140(1), 339-361. https://doi.org/10.32604/cmes.2024.047566

Abstract

This study proposes a comprehensive, coupled thermomechanical model that replaces local spatial derivatives in classical differential thermomechanical equations with nonlocal integral forms derived from the peridynamic differential operator (PDDO), eliminating the need for calibration procedures. The model employs a multi-rate explicit time integration scheme to handle varying time scales in multi-physics systems. Through simulations conducted on granite and ceramic materials, this model demonstrates its effectiveness. It successfully simulates thermal damage behavior in granite arising from incompatible mineral expansion and accurately calculates thermal crack propagation in ceramic slabs during quenching. To account for material heterogeneity, the model utilizes the Shuffle algorithm and Weibull distribution, yielding results that align with numerical simulations and experimental observations. This coupled thermomechanical model shows great promise for analyzing intricate thermomechanical phenomena in brittle materials.

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APA Style
Li, T., Gu, X., Zhang, Q. (2024). A coupled thermomechanical crack propagation behavior of brittle materials by peridynamic differential operator. Computer Modeling in Engineering & Sciences, 140(1), 339-361. https://doi.org/10.32604/cmes.2024.047566
Vancouver Style
Li T, Gu X, Zhang Q. A coupled thermomechanical crack propagation behavior of brittle materials by peridynamic differential operator. Comput Model Eng Sci. 2024;140(1):339-361 https://doi.org/10.32604/cmes.2024.047566
IEEE Style
T. Li, X. Gu, and Q. Zhang "A Coupled Thermomechanical Crack Propagation Behavior of Brittle Materials by Peridynamic Differential Operator," Comput. Model. Eng. Sci., vol. 140, no. 1, pp. 339-361. 2024. https://doi.org/10.32604/cmes.2024.047566



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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