A new robust method, called MARS (modulus adjustment and redistribution of stress), based on linear elastic finite element analyses has been proposed to evaluate inelastic strains in anisotropic bodies. The linearity of relaxation locus forms the basis of the method. A combination of modulus adjustment scheme and iterative strategy used in the MARS method satisfies the equilibrium and yield conditions, which in turn brings the static and kinematic distributions close to the actual distributions for a given load. Several notched bodies made of anisotropic material are analyzed using the MARS method and the inelastic strains evaluated are found to be in good agreement with those predicted using elastic-plastic finite element analysis.
Issue Section:
Research Papers
1.
Alwar
R. S.
Babu
Suresh
1995
, “Inelastic Strain Concentration in Directionally Solidified Materials
,” Trans. CSME
, Vol. 19
, No. 3
, pp. 331
–346
.2.
Borst
R. D.
Feenstra
P. H.
1990
, “Studies in Anisotropic Plasticity with Reference to the Hill Criterion
,” International Journal for Numerical Methods in Engineering
, Vol. 29
, pp. 315
–336
.3.
Hill, R., 1950, The Mathematical Theory of Plasticity, Clarendon Press, Oxford, U.K.
4.
Molski
K.
Glinka
G.
1981
, “A Method of Elastic-Plastic Stress and Strain Calculation at a Notch Root
,” Materials Science and Engineering
, Vol. 50
, pp. 93
–100
.5.
Neuber, H., 1961, “Theory of Stress Concentration for Shear-Strained Prismatical Bodies with Arbitrary Nonlinear Stress-Strain Law,” ASME Journal of Applied Mechanics, pp. 544–550.
6.
Owen, D. R. J., and Hinton, E., 1986, Finite Elements in Plasticity: Theory and Practice, Pineridge Press Ltd.
7.
Seshadri
R.
1991
, “The Generalized Local Stress Strain (GLOSS) Analysis—Theory and Applications
,” ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol. 113
, pp. 219
–227
.8.
Seshadri, R., and Kizhatil, R. K., 1993, “Notch Root Inelastic Strain Estimates Using GLOSS Analysis,” Advances in Multiaxial Fatigue, ASTM STP 1191, eds., D. L. McDowell and R. Ellis, ASTM, Philadelphia, PA, pp. 397–411.
9.
Valliappan
S.
1976
, “Nonlinear Analysis for Anisotropic Materials
,” International Journal for Numerical Methods in Engineering
, Vol. 10
, pp. 597
–606
.10.
Versnyder
F. L.
Shank
M. E.
1970
, “The Development of Columnar Grain and Single Crystal High Temperature Materials Through Directional Solidification
,” Materials Science and Engineering
, Vol. 6
, pp. 213
–247
.11.
Zienkiewicz
O. C.
1969
, “Elasto-Plastic Solutions of Engineering Problems, Initial Stress Finite Element Approach
,” International Journal for Numerical Methods in Engineering
, Vol. 1
, pp. 75
–100
.
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