Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase transformations

Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase... Continuum Mech. Thermodyn. https://doi.org/10.1007/s00161-018-0682-2 ORIGINAL ARTICLE Diego Said Schicchi · Antonio Caggiano · Martin Hunkel · Eduardus A. B. Koenders Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase transformations Received: 25 January 2018 / Accepted: 10 May 2018 © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract A multiscale framework for thermo-mechanical analysis with phase transformations is proposed in this work. The formulation covers those cases including coupled constitutive equations for simulating thermo- mechanical processes considering phase transformation phenomena. The general case of temperature- and phase-dependent procedures, involving nonlinear plasticity concepts, is considered as main framework in order to formulate the material dissipation at both micro- and macroscopic level of observation. Thermodynamic consistency conditions for computational up/downscaling between micro- and macroscales are presented, with special focus on phase transformation phenomena, for both the mechanical and thermal homogenization. Classical Coleman–Gurtin thermodynamics is employed at the microscale, whereas an extended framework is considered at the macroscale due to the temperature gradient dependency of the macro stress. The multiscale procedure is based on a variational approach largely discussed in the literature. The overall coupled process at both micro- and macroscopic scales, averaging criteria, thermal, mechanical and phase change constitutive http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Continuum Mechanics and Thermodynamics Springer Journals

Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase transformations

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Physics; Classical and Continuum Physics; Engineering Thermodynamics, Heat and Mass Transfer; Theoretical and Applied Mechanics; Structural Materials
ISSN
0935-1175
eISSN
1432-0959
D.O.I.
10.1007/s00161-018-0682-2
Publisher site
See Article on Publisher Site

Abstract

Continuum Mech. Thermodyn. https://doi.org/10.1007/s00161-018-0682-2 ORIGINAL ARTICLE Diego Said Schicchi · Antonio Caggiano · Martin Hunkel · Eduardus A. B. Koenders Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase transformations Received: 25 January 2018 / Accepted: 10 May 2018 © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract A multiscale framework for thermo-mechanical analysis with phase transformations is proposed in this work. The formulation covers those cases including coupled constitutive equations for simulating thermo- mechanical processes considering phase transformation phenomena. The general case of temperature- and phase-dependent procedures, involving nonlinear plasticity concepts, is considered as main framework in order to formulate the material dissipation at both micro- and macroscopic level of observation. Thermodynamic consistency conditions for computational up/downscaling between micro- and macroscales are presented, with special focus on phase transformation phenomena, for both the mechanical and thermal homogenization. Classical Coleman–Gurtin thermodynamics is employed at the microscale, whereas an extended framework is considered at the macroscale due to the temperature gradient dependency of the macro stress. The multiscale procedure is based on a variational approach largely discussed in the literature. The overall coupled process at both micro- and macroscopic scales, averaging criteria, thermal, mechanical and phase change constitutive

Journal

Continuum Mechanics and ThermodynamicsSpringer Journals

Published: Jun 4, 2018

References

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