Material Calibration for Static Cyclic Analyses

Andrei Crisan

Abstract


The material behaviour constitutive laws play a central role in the analysis of engineering components. With the focus to improve the representation of stress-strain response under non-monotonic loadings, several models for cyclic plastic deformation have been developed in recent years. Present FE commercial packages provide models for the analysis of plastic deformation of metallic materials, even though the most recent models are yet to be implemented. A combined isotropic/kinematic hardening model can be used as an extension of simple linear models. This approach provides a more accurate approximation to the stress-strain relation than the linear model. It also models other phenomena, such as ratchetting, relaxation of the mean stress and cyclic hardening, which are typical of materials subjected to cyclic loading.
Present paper presents the calibration and validation of the numerical model as part of a research project that was performed to check the validity of the moment frame connections of an 18-story steel structure. The finite element models were calibrated using experimental tests performed on four full-scale specimens at the CEMSIG Laboratory, Politehnica University Timisoara, Romania. Based on experimental test results, multiple cyclic material behavioural models were employed in order to obtain the best fitting curve.


Keywords


isotropic hardening, kinematic hardening, cyclic loading, FEA

Full Text:

PDF

References


Dahlberg M., Segle, P., Evaluation of models for cyclic plastic deformation – A literature study, Report number: 2010:45, 2010

Araujo, M., C., Non-Linear Kinematic Hardening Model for Multiaxial Cyclic Plasticity, Thesis within Louisiana State University and Agricultural and Mechanical College, 2002

Prager, W. A New Method of Analyzing Stresses and Strains in Work Hardening Plastic Solids. Journal of Applied Mechanics, Vol 23, pp. 493-496, 1956

Mroz, Z. On the Description of Anisotropic Work Hardening. Journal of the Mechanics and Physics of Solids, Vol 15, pp. 163-175, 1967

Besseling, J.F. A Theory of Elastic, Plastic and Creep Deformations of an Initially Isotropic Material. Journal of Applied Mechanics, Vol 25, pp. 529-536, 1958

Dafalias, Y.F. and Popov, E.P. Plastic Internal Variables Formalism of Cyclic Plasticity. Journal of Applied Mechanics, Vol 43, pp. 645-650, 1976

Armstrong, P.J. and Frederick, C.O. A Mathematical Representation of the Multiaxial Bauscinger Effect. CEGB Report No. RD/B/N 731, 1966

Chaboche, J.L. Time-Independent Constitutive Theories For Cyclic Plasticity. International Journal of Plasticity, Vol 2, pp. 149-188, 1986

Chaboche, J.L. On Some Modifications of Kinematic Hardening to Improve the Description of Ratcheting Effects. International Journal of Plasticity, Vol 7, pp. 661-678, 1991

Ohno, N. and Wang, J.-D. Kinematic Hardening Rules with Critical State of Dynamic Recovery, Part I: Formulations and Basic Features for Ratcheting Behavior. International Journal of Plasticity, Vol 9, pp. 375-390, 1993

Bari, S., Constitutive Modeling for Cyclic Plasticity and Ratcheting, PhD thesis within the Department of Civil Engineering North Carolina State University, 2001

Hibbit. D., Karlson, B. and Sorenso, P (2007), ABAQUS User’s Manual, Version 6.9

Lemaitre, J., and Chaboche J.-L., Mechanics of Solid Materials, Cambridge University Press, 1990.

Charles S., W., A Combined Isotropic-Kinematic Hardening Model for Large Deformation Metal Plasticity, U.S. Army Materials Technology Laboratory, Watertown, Massachusetts 02172-0001, 1988

Dinu F., Dubina, D., Neagu C., Vulcu C., Both, I., Herban S., Marcu D., Experimental and Numerical Evaluation of a RBS Coupling Beam For Moment Steel Frames in Seismic Areas, Steel Construction Volume 6, Issue 1, 27–33, 2013

European Convention for Constructional Steelwork, Technical Com-mittee 1, Structural Safety and Loadings; Working Group 1.3, Seismic Design. Recommended Testing Procedure for Assessing the Behavior of Structural Steel Elements under Cyclic Loads, First Edition, ECCS 1986

EN 1993-1-5: Eurocode 3: Design of steel structures - Part 1-5: General rules - Plated structural elements

Elkady, A., Lignos, G., D., Analytical investigation of the cyclic behavior and plastic hinge formation in deep wide-flange steel beam-columns, DOI 10.1007/s10518-014-9640-y, published online 2014

Terry P., Nonlinear response of steel beams, National Technical Information Service, Operations Division, 5285 Port Royal Road, Springfield, Virginia 22161 - DSO-00-01, 2000

Halama, R., Sedlák, J., & Šofer, M. Phenomenological Modelling of Cyclic Plasticity. Intech International, 1, 2012

Collin, J. M., Parenteau, T., Mauvoisin, G., & Pilvin, P. Material parameters identification using experimental continuous spherical indentation for cyclic hardening. Computational Materials Science, 46(2), 333-338, 2009


Refbacks

  • There are currently no refbacks.


Copyright (c) 2017 INTERSECTII / INTERSECTIONS

Indexed

Google Scholar    Directory of Research Journals Indexing