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- Title
A Coupled Thermomechanical Crack Propagation Behavior of Brittle Materials by Peridynamic Differential Operator.
- Authors
Tianyi Li; Xin Gu; Qing Zhang
- 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 andWeibull 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.
- Subjects
DIFFERENTIAL operators; CRACK propagation (Fracture mechanics); TIME integration scheme; INTEGRAL equations; CERAMIC materials; BRITTLE materials
- Publication
CMES-Computer Modeling in Engineering & Sciences, 2024, Vol 140, Issue 1, p339
- ISSN
1526-1492
- Publication type
Article
- DOI
10.32604/cmes.2024.047566