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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v3.i3.70
pages 363-378

Calibration of a Nonlinear Elastic Composite With Goal-Oriented Error Control

Hakan Johansson
Department of Applied Mechanics, Chalmers University of Technology S-412 96 Goteborg, Sweden
Kenneth Runesson
Department of Structural Mechanics Chalmers, University of Technology S-41296 Goteborg, Sweden
Fredrik Larsson
Department of Applied Mechanics, Chalmers University of Technology, S-412 96 Gothenburg

Краткое описание

In order to determine the parameter values for the constituents of a nonlinear elastic composite on the mesoscale, while experimental data are available on the macroscale only, a meso-macro-transition approach is adopted. A representative volume element (RVE) with piecewise linear Dirichlet boundary conditions, is analyzed using a recently proposed technique for the calibration of constitutive models. The strategy is based on an optimization problem expressed such that the state equation is incorporated via an additional costate field, which has the distinct advantage that error control in an arbitrary “goal” quantity is formally straightforward. The practical solution of the optimization problem is essentially based on Newton's method, which is feasible since it is possible to decompose each Newton step in a number of linear problems using the conventional finite element structure for the RVE problem. The same problem character is pertinent to the solution of the dual problem for a given choice of error measure, which is the key ingredient in the a posteriori error computation. The numerical results show the effectivity of the error prediction for the special case when the material parameters are constant within the subdomains of mesostructural constituents.


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