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Phase-field elasticity model based on mechanical jump conditions

Schneider, Daniel and Tschukin, Oleg and Choudhury, Abhik and Selzer, Michael and Boehlke, Thomas and Nestler, Britta (2015) Phase-field elasticity model based on mechanical jump conditions. In: COMPUTATIONAL MECHANICS, 55 (5). pp. 887-901.

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Official URL: http://dx.doi.org/10.1007/s00466-015-1141-6

Abstract

Computational models based on the phase-field method typically operate on a mesoscopic length scale and resolve structural changes of the material and furthermore provide valuable information about microstructure and mechanical property relations. An accurate calculation of the stresses and mechanical energy at the transition region is therefore indispensable. We derive a quantitative phase-field elasticity model based on force balance and Hadamard jump conditions at the interface. Comparing the simulated stress profiles calculated with Voigt/Taylor (Annalen der Physik 274(12):573, 1889), Reuss/Sachs (Z Angew Math Mech 9:49, 1929) and the proposed model with the theoretically predicted stress fields in a plate with a round inclusion under hydrostatic tension, we show the quantitative characteristics of the model. In order to validate the elastic contribution to the driving force for phase transition, we demonstrate the absence of excess energy, calculated by Durga et al. (Model Simul Mater Sci Eng 21(5):055018, 2013), in a one-dimensional equilibrium condition of serial and parallel material chains. To validate the driving force for systems with curved transition regions, we relate simulations to the Gibbs-Thompson equilibrium condition

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: Phase-field; Elasticity; Jump-conditions; Microstructure evolution; Heterogeneous systems; Interfacial excess energy
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Depositing User: Id for Latest eprints
Date Deposited: 24 Sep 2015 07:20
Last Modified: 24 Sep 2015 07:20
URI: http://eprints.iisc.ac.in/id/eprint/52459

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