Numerical Aspects of a Continuum Sintering Model Formulated in the Standard Dissipative Framework
Abstract
:1. Introduction
2. Sintering Model
3. Spatial and Temporal Discretization
3.1. Variationally Consistent Method
3.2. -Family
3.3. Modified -Family
3.4. Numerical Solution Algorithm and Implementation
3.5. Normalization and Initial Conditions
4. Numerical Experiments
4.1. General Approach
4.2. Numerical Experiment 1
Results
4.3. Numerical Experiment 2
4.3.1. Finite Element Grid
4.3.2. Results
5. Concluding Remarks
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A. Constitutive Equations of the Sintering Model
Appendix A.1. Helmholtz Free Energy Density ψ
Appendix A.2. Local Dissipation Function δ ˚
Appendix A.3. Local Form of the Constitutive Equations
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Stark, S. Numerical Aspects of a Continuum Sintering Model Formulated in the Standard Dissipative Framework. Math. Comput. Appl. 2023, 28, 69. https://doi.org/10.3390/mca28030069
Stark S. Numerical Aspects of a Continuum Sintering Model Formulated in the Standard Dissipative Framework. Mathematical and Computational Applications. 2023; 28(3):69. https://doi.org/10.3390/mca28030069
Chicago/Turabian StyleStark, Sebastian. 2023. "Numerical Aspects of a Continuum Sintering Model Formulated in the Standard Dissipative Framework" Mathematical and Computational Applications 28, no. 3: 69. https://doi.org/10.3390/mca28030069