scholarly journals Determination of the limiting state of bodies during separation in the case of the general plane problem

2021 ◽  
Vol 2094 (2) ◽  
pp. 022037
Author(s):  
A N Matveeva ◽  
S V Matveev ◽  
A A Andreeva
Keyword(s):  
Principal Stress ◽  
Plane Problem ◽  
Average Pressure ◽  
Principal Stresses ◽  
Limiting State ◽  
Characteristic Equations ◽  
General Plane ◽  
Limiting Value

Abstract The paper considers the general plane problem of determining the limiting state of bodies during separation. The conditions for reaching the limiting state are considered to depend on the average pressure and the direction of separation. The paper defines the characteristic equations for two cases of separation: equality of two principal stresses to the limiting value of separation and equality of one principal stress to the limiting value of separation. Equations of characteristics’ lines and relations along them are determined.

scholarly journals The limiting state of bodies during separation in the case of the general plane problem

2021 ◽  
pp. 47-55
Author(s):  
Алёна Николаевна Матвеева ◽  
Сергей Владимирович Матвеев
Keyword(s):  
Plane Problem ◽  
Average Pressure ◽  
Limiting State ◽  
Characteristic Equations ◽  
Main Stress ◽  
General Plane ◽  
Limiting Values ◽  
Limiting Value

Работа посвящена решению общей плоской задачи, связанной с определением предельного состояния тел при отрыве. Уравнения, определяющие условия предельного состояния принимаются функциями, зависящими от среднего давления и направлений отрыва. В результате вычислений были получены характеристические уравнения для двух случаев: при достижении предельных значений отрыва двумя главными напряжениями и при достижении предельного значения отрыва одним главным напряжением. Для двух рассмотренных случаев были получены уравнения характеристик и соотношения вдоль них. The work is devoted to the solution of the general plane problem related to the determination of the limiting state of bodies during separation. The equations defining the conditions for the limiting state are taken as functions that depend on the average pressure and directions of separation. As a result of calculations, the characteristic equations were determined for two cases: when the limiting values of separation by two main stresses are reached and when the limiting value of separation by one main stress is reached. For the two considered cases, equations of characteristics and relations along them were obtained.

scholarly journals Determination of the Paleostress Orientations and Magnitudes for Missan Structures, Southeastern Iraq

2018 ◽  
Vol 26 (10) ◽  
pp. 213-233
Author(s):  
Atheer Edan Khalil AL- Hachem ◽  
Mustafa Rasheed Salih Al – Obaidi
Keyword(s):  
Principal Stress ◽  
Graphical Methods ◽  
Principal Stresses ◽  
Unstable Region ◽  
Diagram Method ◽  
Stress Orientations

        The use of  Right dihedral method and Mohr diagram method allow determination of the paleostress orientation and its magnitude in Missan structures, Southeastern Iraq. The principal stress orientations and its magnitudes have been determined by the measure of the striation on the faults planes. The measurement of orientation of the principal stress was deduced by different graphical methods, the horizontal maximum principal stresses (σ1) magnitudes were (3600, 4360,4650, 4750 and 5700) bars, the horizontal  intermediate  principal stresses (σ2) magnitudes   were (1528, 1842,1962.5, 1998.5 and 2390.5) bars and the vertical minimum principal stresses (σ3) magnitudes were (544, 676,725, 753 and 919) bars. This study shows that area is located within the unstable region since the poles of measured faults lie in the area of reactivated faults in Mohr diagram.

scholarly journals Determination of the Principal Stresses of a Snow Cover on a Mountain Slope Using Snow Pressure Gauges

1985 ◽  
Vol 6 ◽  
pp. 215-217 ◽  
Author(s):  
MLtsuo Oh’Izumi ◽  
Tosio Huzioka
Keyword(s):  
Snow Cover ◽  
Principal Stress ◽  
Constitutive Equations ◽  
Vertical Plane ◽  
Strain Rates ◽  
Mountain Slope ◽  
Principal Stresses ◽  
Contour Lines ◽  
Snow Pressure

Principal stresses in a snow cover on a uniform slope were determined by two methods, each using thin pressure gauges to measure snow pressure in the snow. These snow pressures were principal stress σ2on a vertical plane perpendicular to the contour lines and normal compressive stress σθon a plane perpendicular to the vertical plane. In addition, plastic Poisson’s ratio v was estimated in a snow cover on level ground. Estimates of principal strain rates were used to calculate principal stresses and viscosity by two different methods, using estimates of v and the constitutive equations of Yosida (1980) and the derived values of σ2and σθ.For dry and compact snow, σ1and σ3calculated by both methods agreed well with each other, and also with values obtained by the hole-mark method reported by Shimizu and Huzioka (1975).

On the determination of a velocity field for a perfectly plastic flow: The case of the general plane problem

2001 ◽  
Vol 46 (8) ◽  
pp. 596-601 ◽  
Author(s):  
D. D. Ivlev ◽  
L. A. Maksimova ◽  
R. I. Nepershin
Keyword(s):  
Velocity Field ◽  
Plastic Flow ◽  
Plane Problem ◽  
Perfectly Plastic ◽  
General Plane

Identification of Load Applying on T-Shape Joint with Inverse Problem

2006 ◽  
Vol 326-328 ◽  
pp. 657-660
Author(s):  
Joon Hyuk Song ◽  
Hee Yong Kang ◽  
Hyo Sun Yu ◽  
Sung Mo Yang
Keyword(s):  
Principal Stress ◽  
Empirical Method ◽  
Data Sets ◽  
Strain Gages ◽  
Unit Load ◽  
Principal Stresses ◽  
Driving Condition ◽  
In The Beginning ◽  
The Cost

In the beginning of design, exact load data are actually necessary for the fatigue strength and life analysis to minimize the cost and time of designing. The procedure of practical load determination is developed by the combination of the principal stresses of F.E.Analysis and experiment. This paper conceives new procedure for the determination of load direction and magnitude applied on mechanical structures. New procedure is the combination of the analytical and empirical method with analyzed strain by F.E. Analysis under unit load and with measured principal stress by strain gages under driving load, respectively. In this paper, we theorize the procedure of practical load determination and make the validity and the practicality of the procedure with the application to T-shape jointed structure. F.E. Analysis is conducted to get the principal stress on arbitrary points in the F.E. model of T-shape joint under unit load. Then experiment is carried out to get the principal stress on the same points of F.E. model. To demonstrate the actual driving condition, the load conditions are bending and torsion. From these two data sets, the magnitude, the direction and the position of load can be obtained.

scholarly journals Determination of the Principal Stresses of a Snow Cover on a Mountain Slope Using Snow Pressure Gauges

1985 ◽  
Vol 6 ◽  
pp. 215-217
Author(s):  
MLtsuo Oh’Izumi ◽  
Tosio Huzioka
Keyword(s):  
Snow Cover ◽  
Principal Stress ◽  
Constitutive Equations ◽  
Vertical Plane ◽  
Strain Rates ◽  
Mountain Slope ◽  
Principal Stresses ◽  
Contour Lines ◽  
Snow Pressure

Principal stresses in a snow cover on a uniform slope were determined by two methods, each using thin pressure gauges to measure snow pressure in the snow. These snow pressures were principal stress σ2 on a vertical plane perpendicular to the contour lines and normal compressive stress σ θ on a plane perpendicular to the vertical plane. In addition, plastic Poisson’s ratio v was estimated in a snow cover on level ground. Estimates of principal strain rates were used to calculate principal stresses and viscosity by two different methods, using estimates of v and the constitutive equations of Yosida (1980) and the derived values of σ2and σθ. For dry and compact snow, σ1 and σ3 calculated by both methods agreed well with each other, and also with values obtained by the hole-mark method reported by Shimizu and Huzioka (1975).

scholarly journals The shrinkage of soils

1917 ◽  
Vol 8 (3) ◽  
pp. 312-330 ◽  
Author(s):  
H. A. Tempany
Keyword(s):  
Linear Relationship ◽  
Pore Space ◽  
Linear Shrinkage ◽  
Fine Silt ◽  
Leeward Islands ◽  
Physical Composition ◽  
Colloidal Clay ◽  
Internal Pore ◽  
Limiting Value

1. By determination of the internal pore space in blocks of soils and comparison with the observed value for the linear shrinkage it is found that a linear relationship appears to exist between the two values.2. By extrapolating the curve thus obtained an approximation for the limiting value of the shrinkage in the case of pure colloidal clay is arrived at amounting to approximately 23 per cent.3. On this assumption it becomes possible to calculate the approximate content of colloidal material in any soil from a knowledge of the linear shrinkage.4. Results are adduced, showing the values obtained for the shrinkage in the case of separated fine silt and clay fractions in the case of two soils of known shrinkage and physical composition, and compared with the values calculated from previous assumptions.5. The results of the calculation of the content of colloidal clay in the foregoing manner in the case of 16 Leeward Islands soils are appended.

Application of Moire Methods to the Determination of Transient Stress and Strain Distributions

1962 ◽  
Vol 29 (1) ◽  
pp. 23-29 ◽  
Author(s):  
W. F. Riley ◽  
A. J. Durelli
Keyword(s):  
Strain Distribution ◽  
Stress And Strain ◽  
Two Dimensional ◽  
Distribution Problem ◽  
Principal Stresses ◽  
Transient Stress ◽  
Optical Phenomenon ◽  
Moiré Effect ◽  
Fringe Patterns

When two arrays of lines are superimposed an optical phenomenon known as the moire effect is observed under certain conditions. This moire effect is used by the authors to determine the distribution of transient strains on the surface of two-dimensional bodies. The method can be used to solve completely the strain-distribution problem or it can be used in combination with photoelasticity to separate the principal stresses. The methods used in interpreting the moire fringe patterns and the techniques used to produce the patterns are described in the paper. Two applications are discussed.

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