Verification of the prediction of deformation-induced anisotropy for simple deformation modes: uniaxial state and pure shear state of stress

2003 ◽  
Vol 339 (1-2) ◽  
pp. 302-311 ◽  
Author(s):  
C.H. Lee ◽  
D.Y. Yang ◽  
Y.-S. Lee
Keyword(s):  
Pure Shear ◽  
Induced Anisotropy ◽  
State Of Stress ◽  
Simple Deformation ◽  
Shear State ◽  
Deformation Modes

Deformation-Induced Microstructure Effects on Ultrasonic Waves: Simple Shear Versus Pure Shear

2006 ◽  
Author(s):  
S. H. Tang ◽  
S. Wu
Keyword(s):  
Plastic Deformation ◽  
Point Defects ◽  
Simple Shear ◽  
Pure Shear ◽  
Fractal Dimensions ◽  
Ultrasonic Waves ◽  
Striking Difference ◽  
Wave Velocities ◽  
Microstructure Effects ◽  
Deformation Modes

Although similar in total strain in simple shear and pure shear, they are very diverse in deformation modes, and the effect of these deformation modes on ultrasonic waves is very different. This paper aims to investigate deformation-induced microstructures and their effects on ultrasonic waves under simple and pure shear states. Texture evolutions, plastic spins, point defects induced by cross slips and fractal dimensions are analyzed via finite element polycrystal model. The investigation indicates that the texture evolutions are the same and transverse wave velocities depend on textures mainly; however, the point defects induced by cross slips show a striking difference between simple shear and pure shear, this implies that longitudinal wave velocities are sensitively influenced by point defects during plastic deformation.

Study on the Surface Roughness and Crystal Orientation Effects on the Cross Slip under Pure Shear State

2002 ◽  
Vol 2002.42 (0) ◽  
pp. 200-201
Author(s):  
Shi hua TANG ◽  
Michiaki KOBAYASHI ◽  
Setsuo MIURA ◽  
Hiroyuki FUJIKI ◽  
Seiichi OMORI
Keyword(s):  
Surface Roughness ◽  
Crystal Orientation ◽  
Pure Shear ◽  
Cross Slip ◽  
Orientation Effects ◽  
The Cross ◽  
Shear State

Multiscale Modelling of Gradual Degradation in Al2O3/ZrO2 Ceramic Composites under Tension

2010 ◽  
Vol 638-642 ◽  
pp. 2743-2748
Author(s):  
Tomasz Sadowski ◽  
Liviu Marsavina
Keyword(s):  
Material Properties ◽  
Ceramic Composite ◽  
Ceramic Composites ◽  
Multiscale Approach ◽  
Solid Modelling ◽  
Induced Anisotropy ◽  
Two Phase ◽  
State Of Stress ◽  
Ceramic Composite Materials ◽  
As Stress

Two-phase ceramic composite materials, (CMC, e.g. Al2O3/ZrO2), have a non-linear and complex overall response to applied loads due to: different phases, existence of an inital porosity, development of limited plasticity and internal microdefects. All microdefects act as stress concentrators and locally change the state of stress, leading to the development of mesocracks and finally macrocracks. Experimental results show that defects develop mainly inter-granular and cause inhomogeneity and induced anisotropy of the solid. Modelling of such material response is possible by multiscale approach describing different phenomena occuring at different scales: micro- meso- and macro- ones. The paper presents uniaxial tension process of the Al2O3/ZrO2 composite with the gradual degradation of the material properties due to different defects development.

Cavitation and the state of stress in a flowing liquid

1998 ◽  
Vol 366 ◽  
pp. 367-378 ◽  
Author(s):  
DANIEL D. JOSEPH
Keyword(s):  
Atmospheric Pressure ◽  
Breaking Strength ◽  
Pure Shear ◽  
Amorphous Solids ◽  
Maximum Tensile Stress ◽  
Liquid Sample ◽  
Principal Stresses ◽  
Flowing Liquid ◽  
State Of Stress ◽  
Cavitation Threshold

The problem of the inception of cavitation is formulated in terms of a comparison of the breaking strength or cavitation threshold at each point in a liquid sample with the principal stresses there. A criterion of maximum tension is proposed which unifies the theory of cavitation, the theory of maximum tensile strength of liquid filaments and the theory of fracture of amorphous solids. Liquids at atmospheric pressure which cannot withstand tension will cavitate when and where tensile stresses due to motion exceed one atmosphere. A cavity will open in the direction of the maximum tensile stress which is 45° from the plane of shearing in pure shear of a Newtonian fluid. Experiments which support these ideas are discussed and some new experiments are proposed.

scholarly journals Behavior of the Abaqus CDP model in simple stress states

2019 ◽  
Vol 52 (2) ◽  
pp. 87-113
Author(s):  
Alexis Fedoroff ◽  
Kim Calonius ◽  
Juha Kuutti
Keyword(s):  
Pure Shear ◽  
Material Model ◽  
Sensitivity Study ◽  
Stress States ◽  
Tension State ◽  
Impact Simulations ◽  
Parameter Values ◽  
Shear State ◽  
Element Removal ◽  
Simple Stress

In order to use the Abaqus Concrete Damaged Plasticity (CDP) material model in simulations of reinforced concrete structures, one has to understand the effect of various parameters of the material model. Although most of the material parameters can be determined from standard concrete tests, some parameters need more advanced tests to be determined. In impact simulations, one often has only limited material data available, and it makes therefore sense to study the parameter sensitivity of the material model in order to fix realistic parameter values. In this paper, the sensitivity of the simulation response with respect to two modelparameters is studied: the dilation angle and the tensile to compressive meridian ratio. The sensitivity study is performed in three simple but representative stress states: the uniaxial tension state, the confined uniaxial compressive state and the pure shear state. Finally, it is discussed how these simple stress states relate to the element removal criteria, which is necessary in simulations involving fragmentation.

Reanalysis of simple shear soil testing

1976 ◽  
Vol 13 (4) ◽  
pp. 418-429 ◽  
Author(s):  
Jean-Herve Prevost ◽  
Kaare Høeg
Keyword(s):  
Simple Shear ◽  
Soil Mechanics ◽  
Normal Stresses ◽  
Cyclic Testing ◽  
Shear Tests ◽  
Simple Shear Test ◽  
State Of Stress ◽  
Boundary Slippage ◽  
Patterns Of Behavior ◽  
Shear State

Simple shear devices are used fairly extensively in soil mechanics research, lately especially in connection with cyclic testing. This presentation starts out by extending existing isotropic, elastic analyses of stresses and strains in the simple shear test. The effects of partial differential boundary slippage at the interface between the soil specimen and the top and bottom caps of the apparatus are analyzed. A comparison is made between constant volume and truly undrained simple shear tests.Because there is a coupling of shear and normal strains in soils, both may result from either shear or normal stresses, and vice versa. Therefore, an applied simple shear state of strain will not in general produce a simple shear state of stress in a soil sample, and it is shown analytically and experimentally that significant changes in lateral stresses do occur in simple shear tests. Such patterns of behavior are thereafter incorporated in the interpretation of cyclic loading simple shear tests on sand.

Analysis of the Stress Components during the Forming of a Textile Composite Reinforcement

2013 ◽  
Vol 554-557 ◽  
pp. 492-500
Author(s):  
Gilles Hivet ◽  
Emmanuelle Vidal-Sallé ◽  
Philippe Boisse
Keyword(s):  
Stress Component ◽  
Pure Shear ◽  
Shear Loading ◽  
Textile Composite ◽  
Textile Materials ◽  
Stress Components ◽  
Shear State ◽  
The Relationship ◽  
Picture Frame ◽  
Picture Frame Test

When a continuum approach is considered for textile reinforcements, the internal loads are described by a stress tensor. The mechanical behaviour of the textile material is very much dependent on the fiber directions, and the frames defined from warp and weft directions are preferred to write the stress components. The exterior loads in these frames permit to define tensile and pure shear states. Nevertheless these frames are generally not orthogonal. The relationships between the exterior loads and the different stress components are analyzed in the present paper, and, in particular, the relationship between direct stress components and longitudinal loads on one hand, and shear stress components and transversal loads on the other hand. When dealing with textile materials, the exterior loads in the direction of the fibres and transverse to the fibres define the pure tensile and pure shear state. It will be shown that the covariant stress component matrix is diagonal in a pure tensile loading and that the first mixed direct stress components are equal to zero in a pure shear loading. In these cases, the direct relationship between the stresses and the loadings are given. This will be applied to the cases of the picture frame test, the biaxial tensile test or of a combined tension-shear test.

Analysis of the stress components in a textile composite reinforcement

2012 ◽  
Vol 47 (3) ◽  
pp. 269-285 ◽  
Author(s):  
Gilles Hivet ◽  
Emmanuelle Vidal-Sallé ◽  
Philippe Boisse
Keyword(s):  
Stress Component ◽  
Pure Shear ◽  
Shear Loading ◽  
Textile Composite ◽  
Textile Materials ◽  
Stress Components ◽  
Shear State ◽  
The Relationship ◽  
Picture Frame ◽  
Picture Frame Test

When a continuum approach is considered for textile reinforcements, the internal loads are described by a stress tensor. The mechanical behaviour of the textile material is very much dependent on the fiber directions, and the frames defined from warp and weft directions are preferred to write the stress components. The exterior loads in these frames permit to define tensile and pure shear states. Nevertheless, these frames are generally not orthogonal. The relationships between the exterior loads and the different stress components are analyzed in the present paper, and, in particular, the relationship between direct stress components and longitudinal loads on one hand, and shear stress components and transversal loads on the other hand. When dealing with textile materials, the exterior loads in the direction of the fibres and transverse to the fibres define the pure tensile and pure shear state. It is shown that the covariant stress component matrix is diagonal in a pure tensile loading and that the first mixed direct stress components are equal to zero in a pure shear loading. In these cases, the direct relationship between the stresses and the loadings are given. This is applied to the cases of the picture frame test, the biaxial tensile test or of a combined tension-shear test.

scholarly journals Stress Distribution in a Plate with a Holes Along the Diagonal Distribution Under Plane Biaxial Load

2020 ◽  
Vol 70 (2) ◽  
pp. 91-100
Author(s):  
Konieczny Mateusz ◽  
Achtelik Henryk ◽  
Gasiak Grzegorz
Keyword(s):  
Numerical Analysis ◽  
Stress Distribution ◽  
Biaxial Loading ◽  
Pure Shear ◽  
The State ◽  
Point Of View ◽  
Shear Load ◽  
Load Case ◽  
State Of Stress ◽  
Biaxial Load

AbstractThe object of the work is numerical analysis of the state of stress in the plate with holes made along its diagonal, which was subjected to a plane load. The plate was subjected to biaxial loading both in the direction of the y axis, i.e. Py = +/-100 kN and the z axis, i.e. Pz = +/-100 kN. It was shown that the highest concentration of reduced stress occurred in a plate with two holes in the case of load in the form of pure shear (Py = -100 kN, Pz = 100 kN). The pure shear load case proved to be the least favourable from the point of view of straining the plate with holes.

CLASSIC STRAIN ENERGY FUNCTIONS AND CONSTITUTIVE TESTS OF RUBBER-LIKE MATERIALS

2015 ◽  
Vol 88 (4) ◽  
pp. 604-627 ◽  
Author(s):  
Xuebing Li ◽  
Yintao Wei
Keyword(s):  
Strain Energy ◽  
Pure Shear ◽  
Published Data ◽  
Energy Functions ◽  
First Order ◽  
Tensile Data ◽  
Strain Stress ◽  
Strain Energy Functions ◽  
Incompressible Rubber ◽  
Deformation Modes

ABSTRACT Four classic strain energy density (SED) functions for incompressible rubber-like materials, neo-Hookean, Mooney-Rivlin, Yeoh, and Ogden forms, are briefly reviewed. The strain–stress relations of the above-mentioned SED functions for uniaxial, planar (pure shear), and equibiaxial deformation modes and formulas for transforming tensile data to compressive data of these three special deformation modes are given. Three approximate criteria are proposed for judging the validity of test data obtained from various methods. It is found that Treloar's data are the most reasonable among six groups of published data judged using the proposed criteria. Different combinations of Treloar's data were used to determine the parameters of these SED functions. The effects of three special tests on determining the parameters of various SED functions using the curve-fitting tools provided by ABAQUS were analyzed. Uniaxial tension data were found to be sufficient for determining the neo-Hookean, Yeoh, and first-order Ogden models, whereas both uniaxial and equibiaxial data were necessary for determining the Mooney-Rivlin and Ogden (N = 2, 3) models, and planar data were unnecessary to determine the parameters for all reviewed SED functions.

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