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ASTM Selected Technical Papers
Multiaxial Fatigue and Deformation: Testing and Prediction
By
S Kalluri
S Kalluri
1
Ohio Aerospace Institute NASA Glenn Research Center
at
Lewis Field Cleveland, Ohio Symposium Co-Chairman and Editor
Search for other works by this author on:
PJ Bonacuse
PJ Bonacuse
2
Vehicle Technology Directorate US. Army Research Laboratory NASA Glenn Research Center
at
Lewis Field Cleveland, Ohio Symposium Co-Chairman and Editor
Search for other works by this author on:
ISBN-10:
0-8031-2865-7
ISBN:
978-0-8031-2865-1
No. of Pages:
452
Publisher:
ASTM International
Publication date:
2000

A Newton algorithm is discussed. This algorithm allows for studying nonlinear material behavior, such as plasticity and viscoplasticity. The material behavior is described by so-called internal variables. The model applied in this paper was developed by Lemaitre and Chaboche. The Newton algorithm is implemented as a user-subroutine in the commercial finite-element method package ABAQUS. The results of a numerical analysis of the rotation of an aircraft turbine disk are presented. Cyclic loading conditions are studied, and the results are compared with numerical results in the literature.

1.
Chaboche
,
J.-L.
and
Cailletaud
,
G.
, “
Influence of Material Behaviour on Stress Redistribution in Cyclic Plasticity
,”
Proceedings of the International Conference on Numerical Methods in Engineering: Theory and Applications
,
Pande
N.
and
Midleton
J.
, Eds.,
1985
, pp. 401–409.
2.
Dambrine
,
B.
and
Mascarell
,
J. P.
, “
About the Interest of Using Unified Viscoplastic Models in Engine Hot Components Life Prediction
,”
Proceedings of the International Seminar on High Temperature Fracture Mechanisms and Mechanics
,
Bensussan
P.
and
Mascarell
J. P.
, Eds.,
Mechanical Engineering Publications
,
London
,
1990
, pp. 1–15.
3.
Dhondt
,
G.
and
Köhl
,
M.
, “
The Effect of the Geometry and the Load Level on the Dynamic Fatigue of Rotating Disks
,”
International Journal of Solids and Structures
 0020-7683, Vol.
36
, No.
6
,
1999
, pp. 789–812.
4.
Benallal
,
A.
and
Ben Cheikh
,
A.
, “
Constitutive Equations for Anisothermal Elasto-Viscoplasticity
,”
Constitutive Laws for Engineering Materials: Theory and Applications
,
Desai
C. S.
, et al, Eds.,
Elsevier Science Publishing Co. Inc.
,
1987
, pp. 667–674.
5.
Ohno
,
N.
, “
Constitutive Modelling of Cyclic Plasticity with Emphasis on Ratchetting
,”
International Journal of Mechanical Science
, Vol.
40
, Nos. 2–3,
Elsevier Science Ltd.
,
1997
, pp. 251–261.
6.
Nouailhas
,
D.
, “
Unified Modelling of Cyclic Viscoplasticity: Application to Austenitic Stainless Steels
,”
International Journal of Plasticity
, Vol.
5
,
Pergamon Press Plc.
,
1989
, pp. 501–520.
7.
Wang
,
J.-D.
and
Ohno
,
N.
, “
Two Equivalent Forms of Non-Linear Kinematic Hardening: Application to Non-isothermal Plasticity
,”
International Journal of Plasticity
, Vol.
7
,
Pergamon Press Plc.
,
1991
, pp. 637–650.
8.
Chaboche
,
J.-L.
, “
Cyclic Viscoplastic Constitutive Equations, Part I: A Thermodynamically Consistent Formulation
,”
Journal of Applied Mechanics
, Vol.
60
,
Transactions of the ASME
,
New York
,
12
1993
, pp. 813–821.
9.
Chaboche
,
J.-L.
, “
Cyclic Viscoplastic Constitutive Equations, Part II: Stored Energy—Comparison Between Models and Experiments
,”
Journal of Applied Mechanics
, Vol.
60
,
Transactions of the ASME
,
New York
,
12
1993
, pp. 822–828.
10.
Lemaitre
,
J.
and
Chaboche
,
J.-L.
,
Mechanics of Solid Materials
,
Cambridge University Press
,
UK
,
1994
.
11.
Doghri
,
I.
, “
Fully Implicit Integration and Consistent Tangent Modulus in Elasto-Plasticity
,”
International Journal for Numerical Methods in Engineering
, Vol.
36
,
Wiley & Sons, Ltd.
,
1993
, pp. 3915–3932.
12.
Chaboche
,
J.-L.
and
Cailletaud
,
G.
, “
Integration Methods for Complex Plastic Constitutive Equations
,”
Computational Methods in Applied Mechanical Engineering
, Vol.
133
,
Elsevier Science S. A.
,
1996
, pp. 125–155.
13.
Ladevèze
,
P.
and
Rougée
,
P.
, “
Plasticité et viscoplasticité sous chargement cyclique: propriétés et calcul du cycle limite
,”
Comptes Rendus de l'Académie des Sciences
, tome
301
, série II, no. 13,
Gauthier-Villars
,
Paris
,
1985
, pp. 891–894.
14.
Cognard
,
J.-Y.
and
Ladevèze
,
P.
, “
A Parallel Computer Implementation for Elastoplastic Calculations with the Large Time Increment Method
,”
Non-Linear Engineering Computations
,
Swansea
,
1991
, pp. 1–10.
15.
Arzt
,
M.
,
Cognard
,
J.-Y.
, and
Ladevèze
,
P.
, “
A Large Time Increment Strategy for the Analysis of Viscoplastic Structures Under Complex Loading Histories
,”
Proceedings of the International Seminar on Multiaxial Plasticity
,
Benallal
A.
,
Billardon
R.
, and
Marquis
D.
, Eds.,
Laboratoire de Mécanique et Technologie, Ecole Normale Supérieure de Cachan
,
France
,
1992
, pp. 434–460.
16.
Chaboche
,
J.-L.
, “
A Review of Computational Methods for Cyclic Plasticity and Viscoplasticity
,”
Proceedings of the First International Conference on Computational Plasticity
,
1987
, pp. 379–411.
17.
Ladevèze
,
P.
, “
La méthode à grand incrément de temps pour l'analyse de structures à comportement non linéaire décrit par variables intermes
,”
Comptes Rendus de l'Académie des Sciences
, tome
309
, série II,
Gauthier-Villars
,
Paris
,
1989
, pp. 1095–1099.
18.
Lesne
,
M. P.
and
Savalle
,
S.
, “
An Efficient Cycles Jump Technique for Viscoplastic Structure Calculations Involving Large Number of Cycles
,”
Proceedings of the 2nd International Conference on Computational Plasticity
,
Owen
D. R. J.
,
Oñate
E.
, and
Hinton
E.
, Eds.,
Pineridge Press, Ltd.
,
Swansea
,
1989
, pp. 591–602.
19.
Peirce
,
D.
,
Shih
,
C. F.
, and
Needelman
,
A.
, “
A Tangent Modulus Method for Rate Dependent Solids
,”
Computers and Structures
, Vol.
18
,
Pergamon Press, Ltd.
,
1984
, pp. 875–887.
20.
Wanhill
,
R. J. H.
, “
Significance of Dwell Cracking for IN718 Turbine Discs
,”
Proceedings of the 4th International Conference on Low Cycle Fatigue and Elasto-Plastic Behaviour of Materials
,
Rie
K.-T.
and
Portella
P. D.
, Eds.,
Elsevier Science, Ltd.
,
1998
, pp. 801–806.
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