NDLI: An inverse finite element method for determining residual and current stress fields in solids

Content Provider	Springer Nature Link
Author	Tartibi, M. Steigmann, D. J. Komvopoulos, K.
Copyright Year	2016
Abstract	The life expectancy of a solid component is traditionally predicted by assessing its expected stress cycle and comparing it to experimentally determined stress states at failure. The accuracy of this procedure is often compromised by unforeseen extremes in the loading cycle or material degradation. Residually stressed parts may either have longer or shorter lifespans than predicted. Thus, determination of the current state of stress (i.e., the residual stress in the absence of external loading) and material properties is particularly important. Typically, the material properties of a solid are determined by fitting experimental data obtained from the measured deformation response in the stress-free configuration. However, the characterization of the mechanical behavior of a residually stressed body requires, in principle, a method that is not restricted to specific constitutive models. Complementing a recently developed technique, known as the reversed updated Lagrangian finite element method (RULFEM), a new method called estimating the current state of stress (ECSS) is presented herein. ECSS is based on three-dimensional full-field displacement and force data of a body perturbed by small displacements and complements the first step of the incremental RULFEM method. The present method generates the current state of stress (or residual stress in the absence of external tractions) and the incremental elasticity tensor of each finite element used to discretize the deformable body. The validity of the ECSS method is demonstrated by two noise-free simulation cases.
Starting Page	797
Ending Page	817
Page Count	21
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	58
Issue Number	5
e-ISSN	14320924
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-08-12
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Current state of stress Incremental elasticity tensor Residual stress Reverse finite element method Theoretical and Applied Mechanics Computational Science and Engineering Classical and Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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