Displacive Phase Transitions at Large Strains: Phase-Field Theory and Simulations

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2009-07-08
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Levitas, Valery
Levin, Vladimir
Zingerman, Konstantin
Freiman, Eugene
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Aerospace Engineering

The Department of Aerospace Engineering seeks to instruct the design, analysis, testing, and operation of vehicles which operate in air, water, or space, including studies of aerodynamics, structure mechanics, propulsion, and the like.

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The Department of Aerospace Engineering was organized as the Department of Aeronautical Engineering in 1942. Its name was changed to the Department of Aerospace Engineering in 1961. In 1990, the department absorbed the Department of Engineering Science and Mechanics and became the Department of Aerospace Engineering and Engineering Mechanics. In 2003 the name was changed back to the Department of Aerospace Engineering.

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1942-present

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  • Department of Aerospace Engineering and Engineering Mechanics (1990-2003)

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Abstract

The Landau potential for multivariant displacive phase transformations (PTs) is derived for the most general case of large rotations, elastic and transformational strains, as well as nonlinear and different elastic properties of phases. The method of repetitive superposition of large strains is extended for PTs and is utilized in the finite-element method approach for solution of corresponding coupled phase-field and mechanical problems. Problems of martensitic variants nucleation and evolution in a nanosize sample, including a sample with two nanovoids, are solved. A similar approach can be applied for twinning, dislocations, and reconstructive PTs.

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This article is from Physical Review Letters 103 (2009): 025702, doi:10.1103/PhysRevLett.103.025702. Posted with permission.

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Thu Jan 01 00:00:00 UTC 2009
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