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Evolution of Failure Mechanisms in Composite Shell Structures Using Different Models Read chapter Read first chapter

2018 | OriginalPaper | Chapter

A Multiscale Framework for Thermoplasticity

Authors : Marko Čanađija, Neven Munjas

Published in: Multiscale Modeling of Heterogeneous Structures

Publisher: Springer International Publishing

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Abstract

The chapter describes a homogenization procedure for thermoplasticity problems. The proposed model is suitable for the finite strain regime and supports a very wide class of plasticity models. The methodology starts from the thermodynamically consistent thermoelastic framework already described in the literature. The latter framework is now extended to account for inelastic deformations. The problem is separated by means of the isothermal split into a mechanical and a thermal step, both at the macroscale and the microscale. As demonstrated in an example, the method does provide a way to successfully homogenize microscale variables as well as tangent operators. Finally, limitations of the approach are pointed out.

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Literature
1.
Canadija, M., Mosler, J.: A variational formulation for thermomechanically coupled low cycle fatigue at finite strains. Int. J. Solids Struct. 100, 388–398 (2016)CrossRef
2.
Canadija, M., Brnic, J.: Associative coupled thermoplasticity at finite strain with temperature-dependent material parameters. Int. J. Plast. 20, 1851–1874 (2004)CrossRefMATH
3.
Simo, J., Miehe, C.: Associative coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation. Comput. Methods Appl. Mech. Eng. 98, 41–104 (1992)CrossRefMATH
4.
Miehe, C., Schröder, J., Schotte, J.: Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials. Comput. Methods Appl. Mech. Eng. 171(3), 387–418 (1999)MathSciNetCrossRefMATH
5.
Celigoj, C.: Thermomechanical homogenization analysis of axisymmetric inelastic solids at finite strains based on an incremental minimization principle. Int. J. Numer. Methods Eng. 71(1), 102–126 (2007)MathSciNetCrossRefMATH
6.
Özdemir, I., Brekelmans, W., Geers, M.G.: FE2 computational homogenization for the thermo-mechanical analysis of heterogeneous solids. Comput. Methods. Appl. Mech. Eng. 198(3), 602–613 (2008)
7.
Sengupta, A., Papadopoulos, P., Taylor, R.L.: A multiscale finite element method for modeling fully coupled thermomechanical problems in solids. Int. J. Numer. Methods Eng. 91(13), 1386–1405 (2012)
8.
9.
Canadija, M., Mosler, J.: On the thermomechnaical coupling in finite strain plasticity theory with non-linear kinematic hardening by means of incremental energy minimization. Int. J. Solids Struct. 48(78), 1120–1129 (2011)
10.
Mosler, J.: Variationally consistent modeling of finite strain plasticity theory with non-linear kinematic hardening. Comput. Methods Appl. Mech. Eng. 199, 2753–2764 (2010)MathSciNetCrossRefMATH
11.
Mosler, J., Bruhns, O.: Towards variational constitutive updates for non-associative plasticity models at finite strain: models based on a volumetric-deviatoric split. Int. J. Solids Struct. 46, 1676–1685 (2009)MathSciNetCrossRefMATH
12.
Mosler, J., Bruhns, O.: On the implementation of rate-independent standard dissaptive solids at finite strain—variational constitutive updates. Comput. Methods Appl. Mech. Eng. 199, 417–429 (2010)CrossRefMATH
13.
Bleier, N., Mosler, J.: Efficient variational constitutive updates by means of a novel parameterization of the flow rule. Int. J. Numer. Methods Eng. 89(9), 1120–1143 (2012)MathSciNetCrossRefMATH
14.
Lemaitre, J., Chaboche, J.L.: Mechanics of Solid Materials. Cambridge University Press, Cambridge (2000)MATH
15.
Yang, Q., Stainier, L., Ortiz, M.: A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids. J. Mech. Phys. Solids. 54, 401–424 (2006)MathSciNetCrossRefMATH
16.
Bartels, A., Bartel, T., Canadija, M., Mosler, J.: On the thermomechanical coupling in dissipative materials: a variational approach for generalized standard materials. J. Mech. Phys. Solids 82, 218–234 (2015)MathSciNetCrossRef
17.
Temizer, I., Wriggers, P.: On a mass conservation criterion in micro-to-macro transitions. J. Appl. Mech. 75(5), 054503 (2008)
18.
Miehe, C.: Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity. Comput. Methods Appl. Mech. Eng. 134(3), 223–240 (1996)MathSciNetCrossRefMATH
19.
Simo, J., Hughes, T.: Computational Inelasticity. Springer, New York (1998)MATH
Metadata
Title
A Multiscale Framework for Thermoplasticity
Authors
Marko Čanađija
Neven Munjas
Copyright Year
2018
Book
Multiscale Modeling of Heterogeneous Structures

Print ISBN: 978-3-319-65462-1

Electronic ISBN: 978-3-319-65463-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-65463-8_16

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