The Use of Anisotropic Yield Surfaces in Cyclic Plasticity

Yield Surfaces of SUS304 Under Cyclic Loading

Journal of Engineering Materials and Technology ◽

10.1115/1.3226064 ◽

1988 ◽

Vol 110 (4) ◽

pp. 364-371 ◽

Cited By ~ 26

Author(s):

H. Ishikawa ◽

K. Sasaki

Keyword(s):

Cyclic Loading ◽

Constitutive Equations ◽

Isotropic Material ◽

Quadratic Function ◽

Cyclic Plasticity ◽

Induced Anisotropy ◽

Strain Criterion ◽

Loading Function ◽

Anisotropic Coefficient ◽

Yield Surfaces

To formulate the constitutive equations for cyclic plasticity, the subsequent yield surfaces should be examined carefully. In this paper, the subsequent yield surfaces have been examined from the experiment for the initially isotropic material of SUS304 subject to cyclic loading, using a 50µm/m offset strain criterion for yielding probed at the current center of the yield surface. The experiment shows a translation, distorsion, and rotation of the subsequent yield surfaces because of the deformation-induced-anisotropy due to proportional or nonproportional cyclic loading in tension-torsion space. These yield surfaces could be represented by the quadratic function of stresses with fourth rank anisotropic coefficient tensor components. These anisotropic coefficient tensor components are found to be represented by the strain amplitude of cyclic loading. As a result, the loading function obtained shows availability to derive the constitutive equations of cyclic plasticity.

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ANISOTROPIC YIELD SURFACES IN CYCLIC PLASTICITY

Fatigue & Fracture of Engineering Materials & Structures ◽

10.1111/j.1460-2695.1983.tb01141.x ◽

1983 ◽

Vol 6 (1) ◽

pp. 89-99 ◽

Cited By ~ 2

Author(s):

S. J. HARVEY ◽

P. ADKIN ◽

P. J. JEANS

Keyword(s):

Cyclic Plasticity ◽

Yield Surfaces

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Comparative study of the effective parameters on residual stress relaxation in welded aluminum plates under cyclic loading

Mechanics & Industry ◽

10.1051/meca/2020061 ◽

2020 ◽

Vol 21 (5) ◽

pp. 505

Author(s):

Yousef Ghaderi Dehkordi ◽

Ali Pourkamali Anaraki ◽

Amir Reza Shahani

Keyword(s):

Residual Stress ◽

Cyclic Loading ◽

Stress Relaxation ◽

Stress Amplitude ◽

Cyclic Plasticity ◽

Mean Stress ◽

Effective Parameters ◽

Perfect Plasticity ◽

Residual Stress Relaxation ◽

Aluminum Plates

The prediction of residual stress relaxation is essential to assess the safety of welded components. This paper aims to study the influence of various effective parameters on residual stress relaxation under cyclic loading. In this regard, a 3D finite element modeling is performed to determine the residual stress in welded aluminum plates. The accuracy of this analysis is verified through experiment. To study the plasticity effect on stress relaxation, two plasticity models are implemented: perfect plasticity and combined isotropic-kinematic hardening. Hence, cyclic plasticity characterization of the material is specified by low cycle fatigue tests. It is found that the perfect plasticity leads to greater stress relaxation. In order to propose an accurate model to compute the residual stress relaxation, the Taguchi L18 array with four 3-level factors and one 6-level is employed. Using statistical analysis, the order of factors based on their effect on stress relaxation is determined as mean stress, stress amplitude, initial residual stress, and number of cycles. In addition, the stress relaxation increases with an increase in mean stress and stress amplitude.

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