Note on Stress and Strain Redistribution in a Notched Plate Specimen During Cyclic Loading

1969 ◽  
Vol 91 (3) ◽  
pp. 379-382 ◽  
Author(s):  
D. F. Mowbray ◽  
T. Slot
Keyword(s):  
Strain Softening ◽  
Cyclic Strain ◽  
Cyclic Stress ◽  
Computational Method ◽  
Stress And Strain ◽  
Stress Strain ◽  
Fatigue Specimen ◽  
Plate Specimen ◽  
Measured Strain ◽  
Distribution Of Stress

A finite-element computational method is employed to determine the spatial distribution of stress and strain in a notched-plate fatigue specimen fabricated of mild steel. Because of cyclic strain softening of the material, there is a redistribution of stress and strain in the specimen as a function of the number of load cycles. This phenomenon is considered in the analysis by using cyclic stress-strain diagrams as effective stress-strain curves. The numerical results are found to correlate well with measured strain distributions reported in the literature.

Rate Dependent Constitutive Equations of Cyclic Softening

1985 ◽  
Vol 40 (7) ◽  
pp. 653-665
Author(s):  
J. S. Mshana ◽  
A. S. Krausz
Keyword(s):  
Stress Relaxation ◽  
Low Temperature ◽  
Constitutive Equations ◽  
Strain Softening ◽  
Structural Characteristics ◽  
High Stress ◽  
Cyclic Strain ◽  
Cyclic Stress ◽  
Cyclic Softening ◽  
Stress Softening

Constitutive equations of cyclic strain and stress softening for materials with low internal stress levels are derived from the rate theory. The study shows that over the high stress and low temperature range where the description of plastic flow in cyclic softening can be approximated with activation over a single energy barrier, cyclic strain softening is well related to stress relaxation process while cyclic stress softening is related to creep process. The material structural characteristics for cyclic strain softening, cyclic stress softening and stress relaxation are identical. Subsequently, it is shown that cyclic stress and strain softening within the high stress and low temperature range can be evaluated from the constitutive equations using the material structural characteristics measured from a simple stress relaxation test.

A Cyclic Stress-Strain Constitutive Model for Polycrystalline Magnesium Alloy and its Application

2007 ◽  
Vol 546-549 ◽  
pp. 81-88
Author(s):  
Xiang Guo Zeng ◽  
Qing Yuan Wang ◽  
Jing Hong Fan ◽  
Zhan Hua Gao ◽  
Xiang He Peng
Keyword(s):  
Magnesium Alloy ◽  
Constitutive Model ◽  
Cyclic Stress ◽  
Stress And Strain ◽  
Slip Systems ◽  
Stress Strain ◽  
Strain Behavior ◽  
Cast Magnesium ◽  
Magnesium Alloy Am60 ◽  
Good Agreement

The stress-strain behavior of cast magnesium alloy (AM60) was investigated by strain-controlled cyclic testing carried out on MTS. In order to describe the cyclic stress and strain properties of AM60 by means of the energy storing characteristics of microstructure during irreversible deformation, a plastic constitutive model with no yielding surface was developed for single crystal by adopting a spring-dashpot mechanical system. Plastic dashpots reflecting the material transient response were introduced to describe the plasticity of slip systems. By utilizing the KBW self-consistent theory, a polycrystalline plastic constitutive model for Magnesium alloy was formed. The numerical analysis in the corresponding algorithm is greatly simplified as no process of searching for the activation of the slip systems and slip directions is required. The cyclic stress-strain behavior, based on this model, is discussed. The simulation results show good agreement with the experimental data for AM60.

Cyclic Plastic Deformation of a Circular Plate With Work Hardening

1984 ◽  
Vol 106 (4) ◽  
pp. 336-341
Author(s):  
R. Winter
Keyword(s):  
Fatigue Life ◽  
Low Cycle Fatigue ◽  
Nonlinear Behavior ◽  
Strain Curve ◽  
Strain Range ◽  
Cyclic Strain ◽  
Cyclic Stress ◽  
Cycle Fatigue ◽  
Stress Strain ◽  
Element Analysis

An experimental and theoretical study was performed of the nonlinear behavior of a simply supported flat circular aluminum plate under reversed cyclic central load. The application is for the analysis of cyclic stress and strain of structural components in the plastic range for predicting low-cycle fatigue life. The main purpose was to determine the relative accuracy of an elastic-plastic large deformation finite element analysis when the material properties input data are derived from monotonic (noncyclic) stress-strain curves versus that derived from cyclic stress-strain curves. The results showed that large errors could be induced in the theoretical prediction of cyclic strain range when using the monotonic stress-strain curve, which could lead to large errors in predicting low-cycle fatigue life. The use of cyclic stress-strain curves, according to the model developed by Morrow, et al., proved to be accurate and convenient.

scholarly journals STRESS‐STRAIN ANALYSIS IN THE SOIL SAMPLE DURING LABORATORY TESTING

2007 ◽  
Vol 13 (1) ◽  
pp. 63-70 ◽  
Author(s):  
Neringa Verveckaite ◽  
Jonas Amsiejus ◽  
Vincentas Stragys
Keyword(s):  
Cross Section ◽  
Strain Analysis ◽  
Soil Strength ◽  
Horizontal Component ◽  
Stress And Strain ◽  
Stress Strain ◽  
Real Distribution ◽  
The Cross ◽  
Shear Box ◽  
Distribution Of Stress

During the determination of soil strength and compressibility in a laboratory by different apparatus soil is loaded in a different way. It has an influence on stress‐strain distribution in a sample. Some factors are not evaluated during the results interpretation, for example, friction between soil and device metal parts. The finite‐element method analysis also shows that during triaxial, oedometer, shear box tests distribution of stress and strain in the sample is non‐uniform. A special apparatus was designed and used for determining horizontal component of stress in the cross‐section of the sample. It was determined for sands that horizontal component of stress in the cross‐section centre is significantly smaller than at the edges. Increasing load plastic deformations are developing not in the whole sample but in particular places. If we know a real distribution of stress and strain in the sample, it is possible to determine the soil strength and deformation parameters in a more precise way or to rate the influence of different factors on soil properties.

Research on the Stress and Strain Field and Wall Thickness in Power Spinning of Ellipsoidal Heads with Variable Thickness

2011 ◽  
Vol 189-193 ◽  
pp. 1960-1963 ◽  
Author(s):  
Jin Hui Zhang ◽  
He Yang ◽  
Mei Zhan ◽  
Hua Bing Jiang
Keyword(s):  
Contact Zone ◽  
Wall Thickness ◽  
Variable Thickness ◽  
Large Strain ◽  
Stress And Strain ◽  
Fe Model ◽  
Stress Strain ◽  
Power Spinning ◽  
In The Beginning ◽  
Distribution Of Stress

In this paper, a reasonable 3D FE model for power spinning of ellipsoidal heads with variable thickness has been established under ABAQUS/Explicit and validated. Then the variation of stress, strain and wall thickness during the process are obtained. Furthermore, the influence of the springback on stress, strain and wall thickness are gained with ABAQUS/Standard. The results show the following: (1) In the beginning, large stress, large strain and the thinning zone of wall thickness localize at the small contact zone below the roller; Then the zone extends into a ring and moves towards the position behind the roller; In the end, the ring transfers to the contact zone below the roller again and becomes uneven. The thinning zone is gradually impelled along the generatrix direction, and wall thickness is getting smaller and smaller. (2) The distribution of stress becomes more even after the springback, while the springback has little effect on the distribution of strain and wall thickness.

Reliability Analysis of LCF Life for a Turbine Disk

2010 ◽  
Vol 146-147 ◽  
pp. 1379-1385
Author(s):  
Yang Gao ◽  
Chang Jun Yang ◽  
Kai Lin ◽  
Qing Gao
Keyword(s):  
Reliability Analysis ◽  
Low Cycle Fatigue ◽  
Three Dimensional ◽  
Strain Curve ◽  
Cyclic Strain ◽  
Cyclic Stress ◽  
Turbine Disk ◽  
Fatigue Reliability ◽  
Three Dimensional Model ◽  
Stress Strain

Cyclic stress-strain curve and cyclic strain-life curve appear distinct scatters, and the scatter of fatigue life increases with reducing of the strain levels. A methodology for reliability simulation of low cycle fatigue (LCF) life for turbine disk structures is developed in this paper. First, probabilistic cyclic stress-strain model and linear heteroscedastic probabilistic cyclic strain-life model are founded based on the fatigue test data. Second, three dimensional model of a turbine disk is built, and the fatigue reliability analysis of this turbine disk is implemented in probabilistic design module (PDS) of ANSYS by the combination of response surface method (RSM) and Monte Carlo simulation (MCS). The predicted life with reliability 0.9987 is well consistent with the technology life obtained from disks LCF tests by scatter factors method.

scholarly journals A Novel Notion of Local and Nonlocal Deformation-Gamuts to Model Elastoplastic Deformation

2022 ◽  
Author(s):  
Shivang Desai
Keyword(s):  
Elastoplastic Deformation ◽  
Cyclic Strain ◽  
Cyclic Stress ◽  
Strain Hardening Exponent ◽  
Stress Strain ◽  
Shared Information ◽  
Deformation Dynamics ◽  
Strain Coefficient ◽  
Material Points ◽  
Nonlocal Deformation

AbstractLocalization and nonlocalization are characterized as a measure of degrees of separation between two material points in material’s discrete framework and as a measure of unshared and shared information, respectively, manifested as physical quantities between them, in the material’s continuous domain. A novel equation of motion to model the deformation dynamics of material is proposed. The shared information between two localizations is quantified as nonlocalization via a novel multiscale notion of Local and Nonlocal Deformation-Gamuts or DG Localization and Nonlocalization. Its applicability in continuum mechanics to model elastoplastic deformation is demonstrated. It is shown that the stress–strain curves obtained using local and nonlocal deformation-gamuts are found to be in good agreement with the Ramberg–Osgood equation for the material considered. It is also demonstrated that the cyclic strain hardening exponent and cyclic stress–strain coefficient computed using local and nonlocal deformation-gamuts are comparable with the experimental results as well as the theoretical estimations published in the open literature.

Effect of Temperature on the Cyclic Stress Components of Gamma - TiAl Based Alloy with Niobium Alloying

2011 ◽  
Vol 465 ◽  
pp. 447-450 ◽  
Author(s):  
Martin Petrenec ◽  
Petr Buček ◽  
Tomáš Kruml ◽  
Jaroslav Polák
Keyword(s):  
Hysteresis Loops ◽  
Lamellar Microstructure ◽  
Strain Curve ◽  
Cyclic Strain ◽  
Cyclic Hardening ◽  
Cyclic Stress ◽  
Effect Of Temperature ◽  
Stress Strain ◽  
Stress Components ◽  
Increasing Temperature

Cyclic strain controlled multiple step tests have been performed on cylindrical specimens of cast -TiAl based alloy with 2 at.% of Nb with nearly lamellar microstructure at 23 and 750 °C in laboratory atmosphere with the aim to study the effect of temperature on the internal and effective cyclic stress components. At these temperatures, the evolution of the effective and internal stress components and the effective elastic moduli were derived from the hysteresis loops analyzed according to the statistical theory of hysteresis loop. Cyclic hardening/softening curves and cyclic stress-strain curves were obtained at both temperatures. Cyclic stress–strain curves measured using short-cut procedure coincide with the basic cyclic stress-strain curve. They are shifted to lower stresses with increasing temperature. Cyclic stress-strain response at both temperatures was compared and discussed in relation to changes of internal and effective stress components and dislocation modes referred in literature concerning this class of the material.

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