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Peridynamics Model with Surface Correction Near Insulated Cracks for Transient Heat Conduction in Functionally Graded
Yang Tan1,2, Qiwen Liu1,2, Lianmeng Zhang3
1Hubei Key Laboratory of Theory and Application of Advanced Materials Mechanics, Wuhan University of Technology, Wuhan 430070, China.
Materials (Basel, Switzerland)
|March 19, 2020
Summary
This study introduces a peridynamic model for heat conduction in functionally graded materials (FGMs) with cracks. The model accurately simulates heat flow, even with dynamic cracks, offering a validated approach for FGM analysis.
Area of Science:
- Materials Science
- Computational Mechanics
- Heat Transfer
Background:
- Functionally Graded Materials (FGMs) exhibit spatially varying material properties, posing challenges for thermal analysis.
- Simulating heat conduction in FGMs with defects like cracks requires robust numerical methods.
- Surface effects near boundaries and cracks can significantly influence heat transfer predictions.
Purpose of the Study:
- To develop and validate a peridynamic (PD) model for transient heat conduction in FGMs with insulated cracks.
- To incorporate surface correction into the PD model to account for boundary and crack surface effects.
- To investigate the model's convergence, accuracy, and applicability to static and dynamic crack scenarios.
Main Methods:
- Development of a peridynamic (PD) model incorporating surface correction for FGMs.
- Numerical simulations of transient heat conduction in FGM plates with insulated cracks.
- Verification against analytical solutions and comparison with the finite element method (FEM).
- Analysis of discretization schemes and convergence properties.
Main Results:
- The PD model accurately simulates transient heat conduction in FGMs with insulated cracks.
- Surface correction effectively reduces surface effects near domain boundaries and cracks.
- The model demonstrates convergence to classical solutions as the horizon size approaches zero.
- Simulations show good agreement with analytical solutions and FEM for static cracks.
- The model successfully simulates heat conduction in FGMs with dynamic and intersecting cracks.
Conclusions:
- The proposed peridynamic model with surface correction is a reliable tool for analyzing transient heat conduction in FGMs with various crack configurations.
- The study validates the PD approach for complex thermal problems in FGMs, including those with dynamic crack propagation.
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