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Stress field

About: Stress field is a research topic. Over the lifetime, 11926 publications have been published within this topic receiving 226417 citations.


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TL;DR: In this article, a FE analysis of the stress state in a ball on three balls tested disc is performed, where the stress field scales with the maximum principle stress, which occurs in the centre of the tensile surface.
Abstract: Biaxial strength testing of brittle materials is claimed to have some benefits compared to uniaxial testing, e.g. the much simpler specimen preparation, the avoiding of tensile loaded edges, the similarity of the stress state to those from typical loading (e.g. during a thermal shock loading) and the fact, that biaxial stress states are more revealing of defects than uniaxial stress states. The experience of the past showed, that biaxial strength testing has its own problems, to avoid these led to the development of several variants. One of these variants, the ball on three balls test, seems to be extremely simple: a disc is supported by three balls and then axially loaded from the opposite side via a fourth ball. In this system small deviations from the requested geometry, especially some out of flatness of the disc, are mentioned to be tolerable, but the threefold bending symmetry makes an exact analytical assessment of the stress state in the loaded disc extremely difficult. A numerical approach has yet not been performed. In this paper a FE analysis of the stress state in a ball on three balls tested disc is performed. The stress field scales with the maximum principle stress, which occurs in the centre of the tensile surface. For this stress an analytical approximation (which has been fitted to the numerical results) is given, which accounts for the influence of all relevant geometrical and material parameters. The investigated range of parameters considers the values typical for testing of brittle materials.

318 citations

Book
24 Feb 2010
TL;DR: In this article, the authors discuss the importance of rock stress in a body and the history of interest in rock stress and its application in a variety of applications in the field of stress analysis.
Abstract: Foreword Preface Dedication Acknowledgement List of Permissions 1. Introduction 1.1 Stresses in a Body 1.2 Importance of Rock Stress 1.3 History of Interest in Rock Stress Part I - Definition and Terminology 2. Stress Definition 2.1 Stress Tensor 2.2 Principal Stresses 2.3 Mohr Circle of Stress 2.4 Visualizing Stress 3. Rock Fracture Criteria 3.1 Phenomenological Theories 3.2 Mechanistic Failure Theories 3.3 Fracture Mechanics 3.4 Nonlinear Fracture Mechanics 4. Rock Stress Terminology 4.1 Gravity Stress 4.2 Tectonic Stress 4.3 Residual Stress 4.4 Structural Stress 5. Crustal Stress Models 5.1 Lithostatic Stress 5.2 Biaxial State of Stress 5.3 Tectonic Stress Field 5.4 Effective Stress 5.5 Laboratory Stress Profiles Part II - Measuring Stress 6. Physics of Stress Measurements 6.1 Mechanical Methods 6.2 Strain Gages 6.3 Diffraction Methods 6.4 Optical Methods 6.5 Ultrasonic Wave Speed 6.6 Micromagnetic Method 7. Measuring Crustal Stress - Borehole Methods 7.1 Classification of Measurement Techniques 7.2 Hydraulic Fracturing 7.3 Borehole Breakouts 8. Measuring Crustal Stress - Core-Based Methods 8.1 Anelastic Strain Recovery 8.1.1 Rheological Basis 8.1.2 Relaxation Apparatus 8.2 Kaiser Effect Part III - Interpreting Stress Data 9. Local Stress Data 9.1 Continental Deep Drilling Site KTB, Germany 9.2 Nuclear Waste Site Olkiluoto, Finland 9.3 San Andreas Fault Observatory at Depth, USA 10. Generic Stress Data 10.1 Magnitude-Depth Profiles 10.2 Orientation Maps and Smoothing 10.3 Stress State-Scale Relations 10.4 Best-Estimate Stress Model 11. Global Stress 11.1 European Stress 11.2 World Stress Map 11.3 Plate Tectonic Interpretation Epilogue Stress References Index Stress Movies Content on DVD-ROM DVD-ROM included inside back cover

317 citations

Journal ArticleDOI
TL;DR: In this article, a high-resolution image of stress orientation in southern California based on the inversion of earthquake focal mechanisms is presented, which is used to study the mechanics of faulting in the plate boundary region.
Abstract: We present a new, high spatial resolution image of stress orientation in southern California based on the inversion of earthquake focal mechanisms. We use this image to study the mechanics of faulting in the plate boundary region. The stress field contains significant spatial heterogeneity, which in some cases appears to be a result of the complexity of faulting and in other cases appears to be a cause. Temporal changes in the stress field are also observed, primarily related to major earthquakes. The observed 15° (±10°) rotation of the stress axes due to the 1992 M7.3 Landers mainshock implies that the deviatoric stress magnitude in the crust is low, of the order of 10 MPa. This suggests that active faults in southern California are weak. The maximum principal stress axis near the San Andreas Fault is often at ∼50° to the fault strike, indicating that the shear stress on the fault is comparable to the deviatoric stress. The San Andreas in southern California may therefore be a weak fault in a low-strength crust.

312 citations

Journal ArticleDOI
TL;DR: The pulsatile flow in an anatomically realistic compliant human carotid bifurcation was simulated numerically and showed good agreement in both computed and measured wall movement, demonstrating the quantitative influence of the vessel wall motion.

312 citations

Journal ArticleDOI
TL;DR: In this article, a two-dimensional analysis of the stress field around a crack on the plane interface between two bonded dissimilar anisotropic elastic half-spaces is presented, which is then combined with the usual local form of the Griffith virtual work argument to give an explicit fracture criterion which involves a suitably defined stress concentration vector and the specific surface energy of the bonded surfaces.
Abstract: This paper contains a two-dimensional analysis of the stress field around a crack on the plane interface between two bonded dissimilar anisotropic elastic half-spaces. This analysis is then combined with the usual local form of the Griffith virtual work argument to give an explicit fracture criterion which involves a suitably defined ‘stress concentration vector’ and the specific surface energy of the bonded surfaces. This criterion has a simple structure and reduces to the conventional form of Irwin when the two half-spaces are isotropic and identical. The analysis is then extended to cracks moving uniformly and a local fracture criterion with the same structure as the static criterion is derived by an energy balance argument. The criterion is specialized to isotropic half-spaces for illustration, when it predicts that the speed of a crack on an interface between such media will be limited by a speed Vc which is slightly greater than the smaller of the two Rayleigh wave speeds. A by-product of the analysis is an expression for the displacement field of an arbitrary interfacial dislocation, either stationary or moving uniformly.

307 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023245
2022517
2021392
2020416
2019410
2018388