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International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

Institutional price:	$747.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2003, Volume1

134 pages

DOI: 10.1615/IntJMultCompEng.v1.i1

Issue price - $178.00

Modeling Dislocation Network and Dislocation–Precipitate Interaction at Mesoscopic Scale Using Phase Field Method

C. Shen
Department of Materials Science and Engineering, The Ohio State University, 2041 College Road, Columbus, OH 43210

Y. Wang
Department of Materials Science and Engineering, The Ohio State University, 2041 College Road, Columbus, OH 43210

ABSTRACT

In this article we discuss phase field modeling of dislocation reactions and network formation in fcc crystals, g-channel filling by dislocations during plastic deformation in Ni-based superalloys, and deformation mechanisms in multilayer thin films. The phase field method is introduced in the context of gradient thermodynamics and discussed in contrast to the Peierls–Nabarro model. General expressions of crystalline and gradient energies are introduced, and their applications to various dislocation reactions leading to network formation are presented. The critical shear stress applied to drive dislocations through the g-channels is characterized as a function of channel width, dislocation density in the channels, and lattice mismatch. The propagation behavior of threading dislocations in a multilayer microstructure is characterized as a function of misfit strain and applied stress. Different deformation mechanisms of the multilayer microstructure are predicted, ranging from a confined layer slip in individual layers at a large lattice mismatch to a co-deformation across layers at a smaller lattice mismatch. Advantages, potential new applications, and limitations of the phase field method are discussed.