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Original Research
Online Published: 29 Oct 2020
 


MODELING OF MARTENSITIC PHASE TRANSFORMATION IN MATERIAL SCIENCE: A NUMERICAL STUDY

A. A. Abubakar; N. A. Muhammad; D. Sh. Ibrahim; D. U. Lawal.


Abstract
Phase transformation involves the formation of new phases or constituents through re-arrangement of atoms in a material microstructure. It often results in the production of new precipitates that may enhance/degrade the overall physical and mechanical properties of the parent material. In the present study, the non-linear martensitic phase transformation (or Allen-Cahn) equation was analyzed numerically using both Galerkin’s Finite Element Method (FEM) and Fourier Spectral Method (FSM). Material properties corresponding to zirconia ceramic was selected for the analysis. The results from both the FEM and FSM were critically analyzed and compared in terms of computational intensity, efficiency and accuracy. The dependence of the computation on grid size and time step was also studied. The results show that it is more effective to model phase transformation using FSM.

Key words: Computational material science, phase transformation, materials engineering, Fourier spectral method, finite element method, phase field model.


 
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How to Cite this Article
Pubmed Style

Abubakar AA, Muhammad NA, Ibrahim DS, Lawal DU. MODELING OF MARTENSITIC PHASE TRANSFORMATION IN MATERIAL SCIENCE: A NUMERICAL STUDY. NJE. 2019; 26(3): 48-55.

Web Style

Abubakar AA, Muhammad NA, Ibrahim DS, Lawal DU. MODELING OF MARTENSITIC PHASE TRANSFORMATION IN MATERIAL SCIENCE: A NUMERICAL STUDY. https://www.njeabu.com.ng/?mno=23181 [Access: September 12, 2024].

AMA (American Medical Association) Style

Abubakar AA, Muhammad NA, Ibrahim DS, Lawal DU. MODELING OF MARTENSITIC PHASE TRANSFORMATION IN MATERIAL SCIENCE: A NUMERICAL STUDY. NJE. 2019; 26(3): 48-55.


Vancouver/ICMJE Style

Abubakar AA, Muhammad NA, Ibrahim DS, Lawal DU. MODELING OF MARTENSITIC PHASE TRANSFORMATION IN MATERIAL SCIENCE: A NUMERICAL STUDY. NJE. (2019), [cited September 12, 2024]; 26(3): 48-55.


Harvard Style

Abubakar, A. A., Muhammad, . N. A., Ibrahim, . D. S. & Lawal, . D. U. (2019) MODELING OF MARTENSITIC PHASE TRANSFORMATION IN MATERIAL SCIENCE: A NUMERICAL STUDY. NJE, 26 (3), 48-55.


Turabian Style

Abubakar, A. A., N. A. Muhammad, D. Sh. Ibrahim, and D. U. Lawal. 2019. MODELING OF MARTENSITIC PHASE TRANSFORMATION IN MATERIAL SCIENCE: A NUMERICAL STUDY. Nigerian Journal of Engineering, 26 (3), 48-55.


Chicago Style

Abubakar, A. A., N. A. Muhammad, D. Sh. Ibrahim, and D. U. Lawal. "MODELING OF MARTENSITIC PHASE TRANSFORMATION IN MATERIAL SCIENCE: A NUMERICAL STUDY." Nigerian Journal of Engineering 26 (2019), 48-55.


MLA (The Modern Language Association) Style

Abubakar, A. A., N. A. Muhammad, D. Sh. Ibrahim, and D. U. Lawal. "MODELING OF MARTENSITIC PHASE TRANSFORMATION IN MATERIAL SCIENCE: A NUMERICAL STUDY." Nigerian Journal of Engineering 26.3 (2019), 48-55. Print.


APA (American Psychological Association) Style

Abubakar, A. A., Muhammad, . N. A., Ibrahim, . D. S. & Lawal, . D. U. (2019) MODELING OF MARTENSITIC PHASE TRANSFORMATION IN MATERIAL SCIENCE: A NUMERICAL STUDY. Nigerian Journal of Engineering, 26 (3), 48-55.


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