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Accurate and Efficient Thermal Stress Analyses of Functionally Graded Solids Using Incompatible Graded Finite
Sukirti Dhital1, Asmita Rokaya1, Marina R Kaizer2
1Department of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Rd., U-3037, Storrs, CT 06269.
Composite Structures
|March 20, 2020
Summary
Functionally graded materials offer benefits in high-temperature applications. Modified 6-node (QM6) incompatible graded elements provide accurate and efficient finite element analysis for these materials.
Area of Science:
- Materials Science
- Computational Mechanics
Background:
- Functionally graded materials (FGMs) are crucial for high-temperature applications due to their ability to mitigate thermal and residual stresses.
- The inherent material property gradients in FGMs present challenges for traditional finite element analysis (FEA).
Purpose of the Study:
- To develop and verify incompatible graded finite elements for accurate and efficient FEA of two-dimensional FGMs.
- To compare the performance of modified 6-node (QM6) elements against standard Q4 and Q8 elements in thermal stress analysis.
Main Methods:
- Development of user-defined subroutines in ABAQUS to model material property gradation within finite elements.
- Implementation and verification of incompatible graded finite elements, specifically the QM6 element.
- Utilizing posteriori error estimation for a critical comparison of element performance.
Main Results:
- The modified 6-node (QM6) incompatible graded elements demonstrate superior accuracy compared to linear four-node (Q4) elements.
- QM6 elements achieve this accuracy with significantly less computational time than quadratic eight-node (Q8) elements.
- Posteriori error estimation confirms the efficiency and accuracy advantages of QM6 elements.
Conclusions:
- The QM6 incompatible graded finite element is an optimal choice for transient thermal stress analysis in two-dimensional FGMs.
- This element offers a balance of accuracy and computational efficiency, outperforming conventional elements for FGM analysis.
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