Is the von Mises criterion generally applicable to soft solids?

Soft Matter ◽  
2020 ◽  
Vol 16 (32) ◽  
pp. 7576-7584 ◽  
Author(s):  
Luiz U. R. Sica ◽  
Paulo R. de Souza Mendes ◽  
Roney L. Thompson
Keyword(s):  
Yield Stress ◽  
Soft Solids ◽  
Von Mises Criterion ◽  
Von Mises

Traction and compression experiments were performed with yield stress materials, to determine their yielding points and then check if the von Mises criterion is applicable. All the materials were shown not to yield according to this criterion.

A Generalized von Mises Criterion for Yield and Fracture

1980 ◽  
Vol 47 (2) ◽  
pp. 297-300 ◽  
Author(s):  
W. H. Yang
Keyword(s):  
Bauschinger Effect ◽  
Hydrostatic Stress ◽  
Fracture Criteria ◽  
Deformation History ◽  
Von Mises Criterion ◽  
Effect On Yield ◽  
Von Mises ◽  
New Criterion ◽  
Physical Phenomena ◽  
Special Case

Yield and fracture criteria for real materials are to a varying degree affected by a state of hydrostatic stress. Some materials, after certain deformation history, exhibit different yield point when the direction of the stress is reversed, a behavior known as the Bauschinger effect. These physical phenomena are not represented by the von Mises criterion. Based on a convexity theorem of matrices, a generalization of the von Mises criterion is presented. The new criterion satisfies the convexity requirement of plasticity theory and, with two scalar functions of deformation history α and β, produces a class of hardening behavior. The current values of α and β account for the effect of hydrostatic stress and an aspect of the Bauschinger effect on yield and fracture. The generalized criterion reduces to the form of the von Mises criterion as a special case.

Intergranular cracking in WC-6% Co: An application of the von mises criterion

1983 ◽  
Vol 31 (3) ◽  
pp. 373-378 ◽  
Author(s):  
V Jayaram ◽  
R Sinclair ◽  
D.J Rowcliffe
Keyword(s):  
Intergranular Cracking ◽  
Von Mises Criterion ◽  
Von Mises

Cyclic Deformation Of B2 Aluminides

1990 ◽  
Vol 213 ◽  
Author(s):  
S.E. Hartfield-Wünsch ◽  
R. Gibala
Keyword(s):  
Plastic Strain ◽  
Cyclic Deformation ◽  
Deformation Behavior ◽  
Tensile Ductility ◽  
Cyclic Hardening ◽  
Compression Tests ◽  
Von Mises Criterion ◽  
Thin Nickel ◽  
Von Mises ◽  
Rapidly Solidified

ABSTRACTA study has been undertaken to understand the cyclic deformation behavior of singlephase B2 aluminides. The alloys chosen for this study were rapidly solidified powder extrusions of Fe60 Al40 (at.%) and Ni50 A130 Fe20 (at.%). These alloys were chosen to compare the cyclic deformation behavior of a material that deforms by <111> slip and thus meets the von Mises criterion for slip system compatibility (Fe60Al40) with one that deforms by <100> slip and does not meet the von Mises criterion (Ni50A130Fe20). Fully reversed tension/compression tests were run in plastic strain control at room temperature. Rapid cyclic hardening was observed for the Fe60Al40 alloy. However, intergranular failure occurred before saturation was reached at all plastic strain amplitudes. The Ni50A130Fe20 alloy displays no tensile ductility , with failure occurring before completion of the first cycle. For the Ni50A130Fe20 alloy, a lower extrusion temperature during materials processing, and compressive prestrain both increase the cyclic accumulated plastic strain to failure, as well as the monotonic tensile ductility. This made cyclic deformation of the Ni50Al30Fe20 alloy possible. In this alloy, limited cyclic hardening is followed by saturation. For both the Fe60Al40 and Ni50 Al30Fe20 alloys, significant ductility enhancement was achieved by the application of thin nickel films. All cyclic deformation results are compared to similar monotonic tension results and are discussed in terms of the dislocation substructures observed.

Flow and Fracture Behavior of NiAl in Relation to the Brittle-Toductile Transition Temperature

1990 ◽  
Vol 213 ◽  
Author(s):  
R.D. Noebe ◽  
R.R. Bowman ◽  
C.L. Cullers ◽  
S.V. Raj
Keyword(s):  
Transition Temperature ◽  
Flow Behavior ◽  
Polycrystalline Materials ◽  
Compression Tests ◽  
Dislocation Glide ◽  
Von Mises Criterion ◽  
Tension And Compression ◽  
Ductile Behavior ◽  
Von Mises ◽  
Increasing Temperature

ABSTRACTNiAl has only three independent slip systems operating at low and intermediate temperatures whereas five independent deformation mechanisms are required to satisfy the von Mises criterion for general plasticity in polycrystalline materials. Yet, it is generally recognized that polycrystalline NiAl can be deformed extensively in compression at room temperature and that limited tensile ductility can be obtained in extruded materials. In order to determine whether these results are in conflict with the von Mises criterion, tension and compression tests were conducted on powder-extruded, binary NiAl between 300 and 1300 K. The results indicate that below the brittle-to-ductile transition temperature (BDTT) the failure mechanism in NiAl involves the initiation and propagation of cracks at the grain boundaries which is consistent with the von Mises analysis. Furthermore, evaluation of the flow behavior of NiAl indicates that the transition from brittle to ductile behavior with increasing temperature coincides with the onset of recovery mechanisms such as dislocation climb. The increase in ductility above the BDTT is therefore attributed to the climb of <001> type dislocations which in combination with dislocation glide enable grain boundary compatibility to be maintained at the higher temperatures.

scholarly journals The determination of static and dynamic yield stresses using a steel ball

1949 ◽  
Vol 197 (1050) ◽  
pp. 416-432 ◽  
Keyword(s):  
Mild Steel ◽  
Yield Stress ◽  
Plane Surface ◽  
Steel Ball ◽  
Polished Surface ◽  
Normal Velocity ◽  
Chrome Steel ◽  
Static Yield ◽  
Von Mises ◽  
Static Yield Stress

The static and dynamical yield stress of the material of a thick steel plate may be estimated by pressing and by dropping a hard steel ball on a plane surface of the plate which has been ground and then polished. Under these conditions, the first appearance of an indentation on the polished surface can be detected with good accuracy, either by an optical interference method, or by an optical reflexion method. The statical experiment consists in finding the least force which must be applied to the steel ball to produce a permanent indentation, whilst the dynamical experiment consists in finding the least normal velocity of impact which gives similarly a permanent indentation. Using either the Guest-Mohr principal-stress difference or the von Mises shear strain energy hypotheses as criteria of failure, combined with an analysis of the stresses in the plate, it is shown how the appropriate yield stress can be calculated from the experimental data. Tests were made on a specimen of mild steel, two specimens of homogeneous armour plate and a very hard nickel-chrome steel of the type used for ball and roller bearings. The ratio of the dynamic value of the yield stress to the static value was found to increase as the hardness number decreases; the ratio was practically unity for the nickel-chrome steel, about 1⋅1 for the armour plate and about 2 for the mild steel. The values of the static yield stress found by the ball method and by an ordinary tensile or compression test are different; this is probably due partly to the inaccuracy of the criteria of plastic flow, partly to the difference in work-hardening in the two experiments, and partly to changes in the structure of the surface due to polishing. This discrepancy is without effect on the ratio of the dynamic to static yield stress as determined by the ball method, since the stress distributions in the static and dynamic ball experiments are identical.

scholarly journals COMPUTER INFORMATION TECHNOLOGY FOR PROCESSING MEASUREMENTS IN THE TASKS OF MONITORING THE STATE OF TECHNICAL OBJECTS

2020 ◽  
pp. 445-447
Author(s):  
Valentin Malaychuk ◽  
Svetlana Klymenko ◽  
Dmitry Astakhov
Keyword(s):  
Discrete Analogue ◽  
The State ◽  
Discrete Models ◽  
Experimental Measurements ◽  
Practical Applications ◽  
Von Mises Criterion ◽  
Statistical Hypotheses ◽  
The Difference ◽  
Von Mises ◽  
Cramer Von Mises

The tasks of monitoring the state of complex technical objects are solved by evaluating and comparing experimental measurements. A new discrete analogue of the Smirnov-Cramer-von Mises criterion and a new discrete analogue of the Anderson criterion are proposed. Computational experiments have been carried out confirming the hypothesis that discrete models of the probability distribution function and the proposed discrete mean square of the difference in information content do not differ from the Anderson criterion and the Smirnov-Cramer-von Mises criterion, but it is much simpler in practical applications in the verification of statistical hypotheses homogeneity of short samples of experimental measurements.

Effect of Yield Criterion on Stress Distribution and Maximum Safe Pressure for an Autofrettaged Gun Barrel

2017 ◽  
Vol 67 (5) ◽  
pp. 504
Author(s):  
Amit Bhetiwal ◽  
Sunil Kashikar ◽  
Haribhau Markale ◽  
Shailendra Gade
Keyword(s):  
Stress Distribution ◽  
Yield Criterion ◽  
The Other ◽  
Uniform Thickness ◽  
Theoretical Weight ◽  
Gun Barrel ◽  
Von Mises Criterion ◽  
Tresca Criterion ◽  
Von Mises

<p>World artillery in the present scenario is changing its role from defensive to aggressive nature and is attempting to achieve higher penetration into enemy targets. Even for an autofrettaged gun barrel, higher ranges requirement leads to higher barrel weight and its associated demerits. The design of gun barrel is based on the choice of yield criteria. Tresca yield criterion provides conservative design for a ductile barrel material. On the other hand, more accurate von Mises criterion presents complexity. The two criteria to evaluate various parameters required for design of an autofrettaged gun barrel are compared. The methodology for evaluation of maximum safe pressure, based on von Mises criterion, for an autofrettaged gun barrel is also included in the paper. Based on case study included in the article, for an autofrettaged gun barrel or pressure vessel with uniform thickness, a theoretical weight reduction of approximately 16 per cent is feasible with von Mises criterion as compared to Tresca criterion.</p>

Limit elastic analysis of rotating annular disks having sigmoid-FGM composition based on MROM

2019 ◽  
Vol 16 (6) ◽  
pp. 806-813 ◽  
Author(s):  
Royal Madan ◽  
Kashinath Saha ◽  
Shubhankar Bhowmick
Keyword(s):  
Yield Stress ◽  
Equivalent Stress ◽  
High Strength ◽  
Rotating Disk ◽  
Design Criterion ◽  
Design Data ◽  
Content Type ◽  
Minimization Principle ◽  
Effective Yield ◽  
Von Mises

Purpose The limit elastic speed of rotating disk is an important design criterion, as it defines the limit before onset of yielding initiates. The purpose of this paper is to establish the limit elastic speeds for S-FG disks and report the stresses induced at such speeds. Design/methodology/approach For S-FGM disk, effective Young’s modulus is calculated using modified rule of mixture and subsequently effective yield stress is also calculated by taking into consideration of stress-strain transfer ratio. The S-FGM disk is subject to centrifugal loading and the stress and deformation characteristics are investigated using variational principle wherein the solution is obtained by Galerkin’s error minimization principle. Based on von-Mises yield criteria, equivalent stress is calculated at different angular speeds till the equivalent stress at any given location in the disk attains the value of effective yield stress at the given location (location of yield initiation). This defines the limit elastic speed for the S-FGM disk (for given n). Findings The limit elastic speed of S-FGM disks for a range of grading index (n) and corresponding stresses within the disk are reported. Results are reported for uniform disks of different aspect ratio and the results reported could be used as practical design data. Practical implications Functional grading of material in structures opens a new horizon to explore the possibility of manufacturing high strength component at low weight. Material grading plays a significant role in achieving desired material properties, and literature review reveals reporting of numerous grading functions to approximate material distribution in structure. Originality/value The work has not been addressed earlier and findings provide a pioneering insight into the performance of S-FG disks.

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