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1

Nath, S. K. Deb. "Analytical Solution of Mixed Boundary Value Problems Using the Displacement Potential Approach for the Case of Plane Stress and Plane Strain Conditions." International Journal of Applied Mechanics and Engineering 22, no. 2 (2017): 269–91. http://dx.doi.org/10.1515/ijame-2017-0016.

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AbstractTwo elastic plate problems made of duralumin are solved analytically using the displacement potential approach for the case of plane strain and plane stress conditions. Firstly, a one end fixed plate is considered in which the rest of the edges are stiffened and a uniform load is applied to the opposite end of the fixed end. Secondly, a plate is considered in which all of the edges are stiffened and a uniform tension is applied at its both ends. Solutions to both of the problems are presented for the case of plane stress and plane strain conditions. The effects of plane stress and plan
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2

Bukhanko, A. A. "PLASTICITY CONDITION CONNECTED WITH LEVEL LINES OF STRAIN STATE SURFACE FOR DIFFERENT DEFORMATION PROCESSES." Vestnik of Samara University. Natural Science Series 19, no. 9.2 (2017): 43–54. http://dx.doi.org/10.18287/2541-7525-2013-19-9.2-43-54.

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On the basis of the theory of plastic flow the peculiarities of application of plasticity condition connected with level lines of strain state surface for work-hardening incompressible rigid-plastic body at different stressed states realized in the context of plane and axisymmetric strain, plane stressed state are considered. Comparison of the proposed condition with plasticity conditions of Mises and Tresca is carried out on the basis of construction of yield curves in deviatoric plane and in planes corresponding to certain stressed states. It is shown that the proposed plasticity condition d
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3

Cwiekala, Nils, Heinrich Traphöner, Peter Haupt, Till Clausmeyer, and A. Erman Tekkaya. "Analytical model of the in-plane torsion test." Acta Mechanica 233, no. 2 (2022): 641–63. http://dx.doi.org/10.1007/s00707-021-03129-8.

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AbstractIn research and industry, the in-plane torsion test is applied to investigate the material behaviour at large plastic strains: a sheet is clamped in two concentric circles, the boundaries are twisted against each other applying a torque, and simple shear of the material arises. This deformation is analysed within the scope of finite elasto-plasticity. An additive decomposition of the Almansi strain tensor is derived, valid as an approximation for arbitrary large plastic strains and sufficiently small elastic strains and rotations. Constitutive assumptions are the von Mises yield criter
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4

NAGASHIMA, Nobuo, and Masao HAYAKAWA. "Strain Distribution Measurement of a Crack Tip under a Plane Strain Condition." TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 79, no. 797 (2013): 23–33. http://dx.doi.org/10.1299/kikaia.79.23.

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5

Wanatowski, Dariusz, Jian Chu, and Wai Lay Loke. "Drained instability of sand in plane strain." Canadian Geotechnical Journal 47, no. 4 (2010): 400–412. http://dx.doi.org/10.1139/t09-111.

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Flowslide or failure of loose granular soil slopes is often explained using liquefaction or instability data obtained from undrained triaxial tests. However, under static loading conditions, the assumption of an undrained condition is not realistic for sand, particularly clean sand. Case studies have indicated that instability of granular soil can occur under essentially drained conditions (e.g., the Wachusett Dam failure in 1907). Laboratory studies on Changi sand by Chu et al. in 2003 have shown that sand can become unstable under completely drained conditions. However, these studies were ca
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6

Teranishi, T., and Hironobu Nisitani. "Effectiveness of Non-Linear Crack Mechanics under Plane Strain Conditions." Key Engineering Materials 348-349 (September 2007): 497–500. http://dx.doi.org/10.4028/www.scientific.net/kem.348-349.497.

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The non-linear crack mechanics (NLCM) is a concept assuring the occurrence of the same phenomena in two cracked bodies under large scale yielding. It has been recognized that NLCM is effective in the cases of plane stress conditions. In this study, it was made clear that NLCM is effective not only in the case of plane stress condition but also in the case of plane strain condition.
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7

Niu, Hong Tao. "Simulation Method of Tunnel Excavation under Plane Strain Condition." Applied Mechanics and Materials 170-173 (May 2012): 1753–56. http://dx.doi.org/10.4028/www.scientific.net/amm.170-173.1753.

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For a different supporting time hole into subway tunnel excavation, with the initial stress in the surrounding rock in the tunnel and initial stress reverse impose the same release the equivalent of the simulation node, consider themselves lining load conditions in a hole under the formation of linear elastic numerical solution. The analysis indicated that with the increasing of the stress release rate, the hole arch displacement gradually decrease. When the stress release rate is bigger than a value, the hole arch displacement is increase rapidly, this is a marginal value (the biggest permiss
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8

Galyautdinov, Z. R. "DYNAMIC STRENGTH CONDITION OF CONCRETE UNDER PLANE STRESS STATE." Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture 21, no. 4 (2019): 138–45. http://dx.doi.org/10.31675/1607-1859-2019-21-4-138-145.

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Modern calculation models must take into account the dynamic deformation of reinforced concrete. Currently, the main regularities of nonlinear dynamic deformation of reinforced concrete under uniaxial stress state are theoretically analyzed in detail along with a wide range of experimental studies. Properties of concrete under plane stress -strain state and dynamic loading are examined to a lesser extent. This paper proposes the dynamic strength condition for the concrete strength which allows for changing the strain -hardening coefficient of concrete depending on the type of stress -strain st
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9

Dudko, Olga V., and Alexandr A. Mantsybora. "Shock Loading of Heteromodular Elastic Materials under Plane-Strain Condition." Key Engineering Materials 887 (May 2021): 634–39. http://dx.doi.org/10.4028/www.scientific.net/kem.887.634.

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The paper discusses the results of mathematical modeling the two-dimensional nonlinear dynamics of heteromodular elastic materials. The resistance of these materials under tension and compression is various. The deformation properties of the heteromodular medium are described within the framework of the isotropic elasticity theory with stress-dependent elastic moduli. In the plane strain case, it is shown that only two types of the nonlinear deformation waves can appear in the heteromodular elastic materials: a plane-polarized quasi-longitudinal wave and a plane-polarized quasi-transverse wave
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10

Wu, Qi, Yingjie Zhao, Norimasa Yoshimoto, et al. "Strain Rate-Dependent Mechanical Response of Hydrate-Bearing Sediments under Plane Strain Condition." Journal of Marine Science and Engineering 11, no. 6 (2023): 1161. http://dx.doi.org/10.3390/jmse11061161.

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Natural gas hydrate has gained significant attention in recent years. To safely and sustainably exploit the natural gas from gas hydrate-bearing sediments, it is crucial to understand the long-term mechanical characteristics of the hydrate reservoir. In this study, the influence of hydrate and fine particles on the strain rate dependence of hydrate-bearing sediments under plane strain conditions has been studied. The experimental results show that the strain rate dependency of the mechanical properties of hydrate-bearing sediments is positively correlated with hydrate saturation instead of the
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11

Jong, Yong-Gwang, Yang Liu, Zixuan Chen, and Pieride Mabe Fogang. "Hypoplastic Interface Model considering Plane Strain Condition and Surface Roughness." Advances in Civil Engineering 2021 (August 30, 2021): 1–13. http://dx.doi.org/10.1155/2021/1473181.

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The soil-structure interface problem is an important part of soil-structure interaction research. These problems are mostly three-dimensional space problems, which is more complex to solve. In this paper, reduced stress and strain rate vectors are incorporated into the explicitly granular hypoplastic model by considering the plane strain state precisely. In addition, considering the important influence of roughness on the mechanical properties of contact surface, an improved hypoplastic model is established by incorporating the influence of roughness into the hypoplastic model, and the applica
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12

Meknassi, Raid Fekhreddine, Gábor Béres, and Zsolt Lukács. "Optimization of notched tensile test specimen under plane strain condition." Multidiszciplináris tudományok 12, no. 3 (2022): 117–26. http://dx.doi.org/10.35925/j.multi.2022.3.11.

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In the current paper, specimen notch geometries during plane strain tensile test for cold-rolled steel DC01 is studied and optimized using Response Surface Methodology (RSM) and the desirability approach. The notch angle (X°), notch width (d), and notch length (c) were the main geometry parameters considered in this study. The effects of these parameters on the strain state were expressed by self-defined metrics, namely the Plane Strain State Index (PSSI) and the Homogeneity Index (HI) as well as those were analyzed by ANOVA analysis. The quadratic mathematical models obtained by the RSM prese
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13

Taendl, Johannes, Martina Dikovits, and Cecilia Poletti. "Investigation of the Hot Deformation Behavior of an Al-Mg-Sc-Zr Alloy under Plane Strain Condition." Key Engineering Materials 611-612 (May 2014): 76–83. http://dx.doi.org/10.4028/www.scientific.net/kem.611-612.76.

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This study investigates the hot deformation behavior of a new Al-Mg-Sc-Zr alloy under plane strain conditions. Flow curves corrected for deformation heating were calculated for strain rates between 0.01 and 10s-1 in a temperature range of 200 to 400°C. To evaluate the deformation behavior, strain rate sensitivity as well as flow localization parameter maps were calculated for strains of 0.2, 0.4, and 0.6. In addition, microstructural investigations and hardness measurements were performed for selected samples. It was shown that the flow stress decreased with deacreasing strain rate and increas
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14

Lu, S. C.-Y., and P. K. Wright. "Finite Element Modeling of Plane-Strain Strip Drawing With Interface Friction." Journal of Engineering for Industry 110, no. 2 (1988): 101–10. http://dx.doi.org/10.1115/1.3187857.

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Numerical results of plane-strain strip drawing are presented emphasizing the interfacial friction conditions between workmaterial and drawing die. The results are based on a large-strain elasto-plastic finite element code with a special boundary condition capability to treat interface friction. Two different modeling approaches are developed. In the interface velocity model, finite element solutions are based on the velocity boundary conditions along the die-work interface measured through transparent sapphire dies. In the interface traction model, a technique called “General Linear Boundary
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15

Ma, Lin. "The Comparison of the Loess Mechanical Properties under Plane Strain and Conventional Triaxial Experiments." Advanced Materials Research 919-921 (April 2014): 791–94. http://dx.doi.org/10.4028/www.scientific.net/amr.919-921.791.

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Plane strain problem is currently prevalent in the loess engineering. However, this problem still using conventional triaxial test method for processing. So the paper conducted the plain strain test, analyze differences in plane strain experiments with conventional triaxial experiments under different moisture content and confining pressure. Research shows two points, the first one is the impact on the strength of the soil is more under moisture content than confining pressure, the other is that the soil strength under the plane strain condition is significantly greater than conventional triax
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16

Zhu, Xuli, Shanshan Ma, Haidong Huang, Xiaodong Wang, and Guirong Teng. "Displacement Analysis on Plane Stress Problems." Journal of Physics: Conference Series 2285, no. 1 (2022): 012031. http://dx.doi.org/10.1088/1742-6596/2285/1/012031.

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Abstract The vertical z direction displacement component and its effect are not considered in the displacement analysis of the plane stress problems currently, and it may cause misunderstanding of the problems. The plane stress problems are three-dimensional problems actually because the strains are three-dimensional. The relationships among stress, strain and displacement of plane stress problems were analyzed in three-dimensional space based on the basic theory of elasticity in this paper. According to the characteristic constraints of the plane stress problems, the displacement expressions
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17

Liu, Ji Yuan, and Tai Quan Zhou. "Finite Element Analysis of Clay Shear Band under Plane Strain Condition." Applied Mechanics and Materials 638-640 (September 2014): 462–65. http://dx.doi.org/10.4028/www.scientific.net/amm.638-640.462.

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The clay shear band analysis under plane strain condition were based on modified cam clay model in finite element software ABAQUS. Normally Consolidated Clay and lightly overconsolidated clay were analyzed in the article. Loading speed, size of soil specimen, different consolidation state (Normally Consolidated Clay and lightly overconsolidated clay) are considered. These factors have effect on the distribution of Pore water pressure, the effective stress path of nodes in shear band and out of shear band and the angle between the shear band and horizontal line. All the differentia and effects
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18

Dikshit, S. N. "Ballistic Behaviour of Tempered Steel Armour Plates under Plane Strain Condition ." Defence Science Journal 48, no. 2 (1998): 167–72. http://dx.doi.org/10.14429/dsj.48.3896.

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19

Lu, De Chun, Xiu Li Du, An Nan Zhou, and Yang Ping Yao. "The Principal Stresses of Soil Mass in the Direction of Plane Strain." Advanced Materials Research 243-249 (May 2011): 2657–65. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.2657.

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The characteristics of deformation and strength of soils under the plane strain condition can be simplified as a two-dimensional problem. How to easily and reasonably determine the value of principal stress in the direction of plane strain is the key point. Based on the Elastic-plastic stress-strain relationship for soil and test data under the plane strain condition, it is assumed that the relationship between principal stresses in plain strain direction and the principal stresses in the other directions is bilinear. The parameters of bilinear function are determined by one-dimensional consol
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20

Šebek, František, Jindrich Petruška, and Petr Kubík. "Behavior of Lode Dependent Plasticity at Plane Strain Condition and its Implication to Ductile Fracture." Solid State Phenomena 258 (December 2016): 213–16. http://dx.doi.org/10.4028/www.scientific.net/ssp.258.213.

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Variety of metals are complex materials exhibiting various behavior under different loading. Many metallic materials exhibit Tresca-like behavior rather than von Mises. It means different behavior in tension under plane strain and uniaxial stress conditions. This might be described by Lode dependent plasticity which should result in better prediction in force or torque responses of material tests. Good agreement between computation and experiment is also very important when calibrating the ductile fracture criteria. Several tests under plane strain and uniaxial stress states were carried out o
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21

Zou, Huiran, Weilong Yin, Chaocan Cai, et al. "The Out-of-Plane Compression Behavior of Cross-Ply AS4/PEEK Thermoplastic Composite Laminates at High Strain Rates." Materials 11, no. 11 (2018): 2312. http://dx.doi.org/10.3390/ma11112312.

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The dynamic mechanical behavior of thermoplastic composites over a wide range of strain rates has become an important research topic for extreme environmental survivability in the fields of military protection, aircraft safety, and aerospace engineering. However, the dynamic compression response in the out-of-plane direction, which is one of the most important loading conditions resulting in the damage of composite materials, has not been investigated thoroughly when compared to in-plane compression and tensile behavior under high strain rates. Thus, we used split Hopkinson pressure bar (SHPB)
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22

Sathananthan, Iyathurai, and Buddhima Indraratna. "Plane-strain lateral consolidation with non-Darcian flow." Canadian Geotechnical Journal 43, no. 2 (2006): 119–33. http://dx.doi.org/10.1139/t05-094.

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New plane-strain lateral consolidation equations are formulated that neglect the well resistance of vertical drains but are applicable for both Darcian and non-Darcian flow. The results of consolidation analyses using conventional Darcian (linear) flow and the new solution based on non-Darcian (exponential) flow are compared. A good match has been obtained between equivalent plane-strain and axisymmetric solutions. The advantage of the equivalent plane-strain procedure is that it not only matches the average degree of radial (axisymmetric) consolidation but also yields a more realistic excess
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23

Sawant, V. A., and M. S. Norazzlina. "FLEXURAL STRESS ANALYSIS OF RIGID PAVEMENTS USING AXI-SYMMETRIC AND PLANE STRAIN FEM." ASEAN Journal on Science and Technology for Development 24, no. 4 (2017): 443–51. http://dx.doi.org/10.29037/ajstd.218.

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The design of pavement involves a study of soils and paving materials, their response under load for different climatic conditions. In the present study, an attempt has been made to compare stresses predicted using two finite element analyses. First analysis is based on the twodimensional plane strain assumption where as in second approach axi-symmetric condition is assumed to consider three-dimensional behavior of rigid pavement. The results are compared with flexural stresses obtained from conventional Portland Cement Association method. The computed flexural stresses obtained from axi-symme
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24

Xiang, Y., X. Chen, and J. J. Vlassak. "Plane-strain Bulge Test for Thin Films." Journal of Materials Research 20, no. 9 (2005): 2360–70. http://dx.doi.org/10.1557/jmr.2005.0313.

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The plane-strain bulge test is a powerful new technique for measuring the mechanical properties of thin films. In this technique, the stress–strain curve of a thin film is determined from the pressure-deflection behavior of a long rectangular membrane made of the film of interest. For a thin membrane in a state of plane strain, film stress and stain are distributed uniformly across the membrane width, and simple analytical formulae for stress and strain can be established. This makes the plane-strain bulge test ideal for studying the mechanical behavior of thin films in both the elastic and pl
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25

Park, Namsu, and Hoon Huh. "Prediction of Fracture Strains for DP980 Steel Sheets Using a Modified Lou–Huh Ductile Fracture Criterion." Key Engineering Materials 626 (August 2014): 347–52. http://dx.doi.org/10.4028/www.scientific.net/kem.626.347.

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This paper is concerned with the prediction of fracture strains for DP980 steel sheets using a modified Lou–Huh ductile fracture criterion. The usage of DP980 steel is significantly increasing in the automotive industry for weight reduction, enhancement of crashworthiness and safety of car body. The material behavior of AHSS show unpredictable and sudden fracture during sheet metal forming process. A modified Lou–Huh ductile fracture criterion is utilized to predict the formability of AHSS because the conventional FLD constructed based on necking is unable to evaluate the formability of AHSS.
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26

Djavid, M. "Particle Orientation and Velocity Equations of Clay in a Plane-Strain Condition." Journal of Applied Mechanics 62, no. 1 (1995): 126–30. http://dx.doi.org/10.1115/1.2895892.

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The directional property of soils, particularly clays, are directly related to the particle orientations. The platy clay particles do possess the tendency to reorient themselves in the most stable condition against applied stress. One may conceive of developing a soil model directly relating particle orientation and applied stress. In this study an angle θ, which is the preferred (therefore stable) orientation of clay particles, is introduced. Using this concept and slip-line theory, the velocity equations of clay in a plane-strain condition are developed. In this approach any change in clay p
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27

Wang, J. F., and H. B. Yan. "3D DEM Simulation of Crushable Granular Soils under Plane Strain Compression Condition." Procedia Engineering 14 (2011): 1713–20. http://dx.doi.org/10.1016/j.proeng.2011.07.215.

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28

Elsworth, D. "Wedge stability in the roof of a circular tunnel: Plane strain condition." International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 23, no. 2 (1986): 177–81. http://dx.doi.org/10.1016/0148-9062(86)90345-1.

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29

Surendran, C. S., and G. Sasikala. "Representation of Damage with Fracture-Strain." Applied Mechanics and Materials 592-594 (July 2014): 1205–9. http://dx.doi.org/10.4028/www.scientific.net/amm.592-594.1205.

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Under the influence of stresses and strains damage is progressively accumulated in the material leading to full damage viz. fracture corresponding to a critical damage parameter. The damage parameter varies in between zero and unity inclusive of both the values corresponding to non damaged and fully damaged condition. Also damage is a tensorial quantity with physical meaning. In order to represent this physical quantity, a damage-D plane is suggested. This is like a co-ordinate system to easy representation of damage as a function of fracture strain. The damage-D plane can be merged with engin
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30

Zhang, Zhen, Fengrui Rao, Guanbao Ye, and Jiangting Liu. "Mechanical Performance and Void Structure Change of Foamed Cement Paste Subjected to Static and Cyclic Loading under Plane Strain Conditions." Materials 15, no. 5 (2022): 1711. http://dx.doi.org/10.3390/ma15051711.

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Cement-based lightweight materials have received much attention recently in embankment backfill applications, the boundary of which is more close to a plane strain condition. To study the influence of plane strain condition on the behavior and void structure of cement-based lightweight material under cyclic loading, this paper conducted a series of compression tests on foamed cement pastes with densities of 700 and 900 kg/m3 subjected to static and cyclic loading under plane strain conditions. The X-CT technique was adopted to obtain the three-dimensional (3-D) void structures of the specimens
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31

Alaca, B. Erdem, K. Bugra Toga, Orhan Akar, and Tayfun Akin. "Strain-controlled bulge test." Journal of Materials Research 23, no. 12 (2008): 3295–302. http://dx.doi.org/10.1557/jmr.2008.0395.

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A closed-loop approach is adopted to implement strain rate control during the bulge test. Due to the difficulty of measuring strains directly, the technique is based on the conversion of displacement measurements to the corresponding strains using the plane-strain formulation. The necessary temporal evolution of the midpoint displacement of a rectangular diaphragm is derived under the condition of constant strain rate and is imposed as a control criterion. The technique is demonstrated on 500-nm-thick Au diaphragms by applying strain rates ranging from 2 × 10−6 to 2 × 10−4 s–1. By measuring th
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32

Liu, Yao He, Guo Feng Yi, and Jian Ming Xiong. "An Analytical Solution to Metal Plane Problem in Terms of Orthotropic Anisotropy and Strain Hardening." Advanced Materials Research 97-101 (March 2010): 348–56. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.348.

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In this paper, the yield condition of Hill’s orthotropic yield criterion under axial symmetric plane stress state was discussed. The yield function of orthotropic material was proposed and the analytical solution to meet the condition of equations of equilibrium and compatibility under axial symmetric plane stress state is obtained, in which the conditions of power hardening materials was considered. The research result indicates that hardening coefficient and anisotropic parameter have substantial influence over stress and strain. However, in the presence of the coefficient R90=H/F,the influe
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33

Garagash, Dmitry I., and Emmanuel Detournay. "Plane-Strain Propagation of a Fluid-Driven Fracture: Small Toughness Solution." Journal of Applied Mechanics 72, no. 6 (2005): 916–28. http://dx.doi.org/10.1115/1.2047596.

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The paper considers the problem of a plane-strain fluid-driven fracture propagating in an impermeable elastic solid, under condition of small (relative) solid toughness or high (relative) fracturing fluid viscosity. This condition typically applies in hydraulic fracturing treatments used to stimulate hydrocarbons-bearing rock layers, and in the transport of magma in the lithosphere. We show that for small values of a dimensionless toughness K, the solution outside of the immediate vicinity of the fracture tips is given to O(1) by the zero-toughness solution, which, if extended to the tips, is
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34

Ortner, Balder. "The Choice of Lattice Planes in X-Ray Strain Measurements of Single Crystals." Advances in X-ray Analysis 29 (1985): 113–18. http://dx.doi.org/10.1154/s0376030800010181.

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It is well known that all of the six independent components of the strain tensor can be calculated if the linear strains in six appropriate directions are known (e.g.). That calculation is to solve a system of linear equations, whose coefficients are defined by the orientations of the measured planes. The strains are determined by lattice plane distance measurements using X-rays.The linear equation system can only be solved if the matrix of coefficients has rank. Whether this condition is met or not can be decided without calculating a determinant just from geometric relationships among the pl
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35

Wu, Ke, Ming Yue Ma, and Dong Xue Hao. "Study on Grouting Pressure of Splitting Grouting Based on Cylindrical Expansion Considering Large Strain." Advanced Materials Research 378-379 (October 2011): 288–91. http://dx.doi.org/10.4028/www.scientific.net/amr.378-379.288.

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Anti-seepage reinforcement technology of splitting grouting to improve the stability of dam, has been an effective reinforcement method in the field of dam reinforcement. Based on the extended SMP criterion and stress-dilatancy relation considering large strain, the governing equations of axisymmetric problem in the plane strain condition and the partial differential equations for the boundary-value problem of cavity expansion in frictional cohesive soils were established. Then, the early phase of splitting grouting is regarded as the plane strain question of cylindrical expansion infinite soi
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36

Yang, Ping, Zude Zhao, Li Meng, Xueping Ren, and Shao Dong Huang. "Texture, Microstructure and Strain Sensibility in Compressed Magnesium Alloys." Materials Science Forum 488-489 (July 2005): 185–88. http://dx.doi.org/10.4028/www.scientific.net/msf.488-489.185.

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Depending on its initial texture and external strain condition differences in deformation mechanisms, kinetics of dynamic recrystallization or even superplastic behaviors may emerge in magnesium alloys leading to distinct microstructure and texture evolutions. When imposed strain condition is altered, e.g. from plane strain compression to rolling or uniaxial compression, the deformation anisotropy will decrease in different rates and basal slip and {1012} twinning will dominate deformation process. This work examines this strain sensibility by inspecting the σ-ε curves, microstructures and te
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37

Galkiewicz, Jaroslaw. "The Influence of In-Plane Constraint on Void Behavior in Front of a Crack in Plane Strain." Solid State Phenomena 224 (November 2014): 139–44. http://dx.doi.org/10.4028/www.scientific.net/ssp.224.139.

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This paper investigates voids’ behavior in front of a crack in elastic-plastic material under plane strain condition. Using the modified boundary layer approach for selected values of Q-stress it evaluates the deformations of a material cell. The deformations are recomputed with an exact three-dimensional model.
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38

KUWAMURA, Hitoshi, and Yuichiro INABA. "STRESS TRIAXIALITY AND STRAIN CONCENTRATION AT STEEL CONNECTIONS UNDER PLANE STRAIN CONDITION : Stress-strain states at steel connections-Part 1." Journal of Structural and Construction Engineering (Transactions of AIJ) 64, no. 518 (1999): 87–94. http://dx.doi.org/10.3130/aijs.64.87_1.

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39

Zha, Zhi Xiang, Wei Peng, and Xi La Liu. "Experimental and Numerical Simulation Study on the Shear Stress for the Interfaces of Anchorage Type Structures." Advanced Materials Research 163-167 (December 2010): 1325–28. http://dx.doi.org/10.4028/www.scientific.net/amr.163-167.1325.

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A laboratory test of anchor pull-out model under plane-strain condition on the shear stress transfer for the interfaces of anchorage type structures was carried out in this paper. The results of test were verified by corresponding numerical simulation model. It was proved that the pull-out experimental model under plane-strain condition was an effective model used to research the working mechanism of anchorage structure.
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40

Hsieh, Pio-Go, and Chang-Yu Ou. "Analysis of deep excavations in clay under the undrained and plane strain condition with small strain characteristics." Journal of the Chinese Institute of Engineers 35, no. 5 (2012): 601–16. http://dx.doi.org/10.1080/02533839.2012.679115.

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41

Santamarina, J. C., and G. Cascante. "Stress anisotropy and wave propagation: a micromechanical view." Canadian Geotechnical Journal 33, no. 5 (1996): 770–82. http://dx.doi.org/10.1139/t96-102-323.

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Wave propagation is a constant-fabric macrophenomenon, suitable to microinterpretation. Both velocity and attenuation characterize state, including inherent and stress-induced anisotropy. The purpose of this research is to study the effect of isotropic and deviatoric stresses on wave propagation in particulate materials at low strains and to interpret results at the microlevel. A resonant-column device was midified to allow for the application of axial extension and axial compression deviatoric loading. The fixed-free boundary condition of the sample was maintained. Data for round, hard-graine
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42

Kim, Kwon Hoo, Jun Ho Choi, Kwang Il Hwang, Han Sang Kwon, Kazuto Okayasu, and Hiroshi Fukutomi. "Texture Formation Behaviors in AZ80 Magnesium Alloy during High-Temperature Plane Strain Compression." Advanced Materials Research 1110 (June 2015): 152–57. http://dx.doi.org/10.4028/www.scientific.net/amr.1110.152.

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The behavior of texture formation during high-temperature deformation in AZ80 magnesium alloy is investigated. Three kinds of specimens were machined out from rolled plates. The plane strain compression tests were conducted at various deformation conditions – temperature, strain and strain rate. After compression deformation, texture measurement was carried out on the mid-plane section parallel to the compression direction by the Schulz reflection method and EBSD measurement. The maximum values of the flow stress are observed in all the cases at the true stress – true strain curve for three ty
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43

Adams, M. J., B. J. Briscoe, G. M. Corfield, C. J. Lawrence, and T. D. Papathanasiou. "An Analysis of the Plane-Strain Compression of Viscoplastic Materials." Journal of Applied Mechanics 64, no. 2 (1997): 420–24. http://dx.doi.org/10.1115/1.2787325.

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A theoretical analysis for the plane-strain compression of viscoplastic materials with a Tresca wall boundary condition is described. The analysis is based upon the incorporation of a viscoplastic associated flow rule into the cycloidal solution originally developed for rigid-perfectly plastic materials. The evolution of the calculated stress field suggests that the influence of strain rate hardening is similar to that reported previously for strain hardening. The calculated strain fields are elliptical in form and are consistent with those measured for a viscoplastic paste. Previous analyses
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44

Bhat, Sunil, and C. Solaimuthu. "On Stress-Strain Fields near Mode i Ductile Crack Tip in Elastic-Plastic Fracture." Defect and Diffusion Forum 428 (August 22, 2023): 9–15. http://dx.doi.org/10.4028/p-qztrb0.

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A mode I, centre crack, in ductile steel plate of finite dimensions is modeled in ANSYS software. Non-linear stress-strain data of steel are used. Plane strain case is adopted. A suitable value of far field tensile stress (pressure) is chosen such that EPFM condition prevails at the crack tip. Process and plastic zones are obtained at the crack tip. Desired values are noted. Areas of high stress and high strain are identified. Validation of void nucleation taking place ahead of crack tip and not exactly at the crack tip and coalescence of voids happening at the crack tip are confirmed from the
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45

Ress, D. W. A., and R. K. Power. "Orientation and formability of orthotropic sheet metals." Journal of Strain Analysis for Engineering Design 32, no. 1 (1997): 61–81. http://dx.doi.org/10.1243/0309324971513229.

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This paper examines the formability of automotive sheet metals: CR steels and 6000 series aluminium-magnesium alloys. Necking strains are used to determine the forming limits; i.e. a diffuse instability condition is reached under in-plane biaxial stressing. The theory admits material anisotropy, work-hardening and sheet orientation under any ratio of applied principal stresses. It has been programmed to accept orientations between the principal stress axes and the sheets' rolling direction in 15° increments between 0° and 90°. The ratio between the principal stresses may vary between 0 and ± 1
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Fernández Canteli, A., E. Giner, D. Fernández Zúñiga, and J. Fernández Sáez. "On the Path and Area Jx1-Integral Components and their Relationship to the Out-of-Plane Constraint in Elastic Cracked Plates." Key Engineering Materials 417-418 (October 2009): 421–24. http://dx.doi.org/10.4028/www.scientific.net/kem.417-418.421.

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In this paper, the path and area components of the Jx1-integral, JP and JA, in three dimensional elastic cracked plates under mode-I loading are investigated aiming at relating them to the out-of-plane constraint conditions resulting from different specimen thicknesses. It is concluded that the JP and JA components of the Jx1-integral vary in the region where the out-of-plane constraint extends. Sufficiently far from the crack front, these integrals tend to stabilize, indicating that the thickness constraint vanishes and that a 2D-like stress and strain fields have been reached. A pure plane s
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Lee, Seung-Hyun, and Byoung-Il Kim. "Analytical Study on Characteristics of von Mises Yield Criterion under Plane Strain Condition." Journal of the Korea Academia-Industrial cooperation Society 16, no. 9 (2015): 6391–96. http://dx.doi.org/10.5762/kais.2015.16.9.6391.

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Chen, Z., M. Omidvar, and M. Iskander. "Observations of Multi-Scale Granular Kinematics Around Driven Piles in Plane Strain Condition." Geotechnical Testing Journal 39, no. 5 (2016): 20150199. http://dx.doi.org/10.1520/gtj20150199.

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Tomita, Yoshihiro, and Youngsuk Kim. "Bifurcation behaviour of bilayered tubes subjected to uniform shrinkage under plane strain condition." International Journal of Solids and Structures 29, no. 22 (1992): 2723–33. http://dx.doi.org/10.1016/0020-7683(92)90114-9.

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Indraratna, Buddhima, M. Mahdi Biabani, and Sanjay Nimbalkar. "Behavior of Geocell-Reinforced Subballast Subjected to Cyclic Loading in Plane-Strain Condition." Journal of Geotechnical and Geoenvironmental Engineering 141, no. 1 (2015): 04014081. http://dx.doi.org/10.1061/(asce)gt.1943-5606.0001199.

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