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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 paper, the behavior of a crack in functionally graded piezoelectric/piezomagnetic materials subjected to an antiplane shear loading is investigated by using a Fourier transform.
Abstract: In this paper, the behavior of a crack in functionally graded piezoelectric/piezomagnetic materials subjected to an anti-plane shear loading is investigated. To make the analysis tractable, it is assumed that the material properties vary exponentially with the coordinate parallel to the crack. By using a Fourier transform, the problem can be solved with the help of a pair of dual integral equations in which the unknown variable is the jump of the displacements across the crack surfaces. These equations are solved using the Schmidt method. The relations among the electric displacement, the magnetic flux and the stress field near the crack tips are obtained. Numerical examples are provided to show the effect of the functionally graded parameter on the stress intensity factors of the crack.
62 citations
TL;DR: In this article, the formation of micropitting, pitting and their sequence is studied with numerical results based on stress field, especially shear stress, by taking into account the high shear tractions caused by local asperity friction.
62 citations
TL;DR: In this paper, a large-scale physical model based on the in situ conditions of the longwall panel was used to reveal the mechanism of stress distribution in the overburden, and the results showed that the major principal stress field is arch-shaped and the strata overlying both the solid zones and gob constitute a series of coordinated loadbearing structures.
Abstract: The evolution of mining-induced stress field in longwall panel is closely related to the fracture field and the breaking characteristics of strata. Few laboratory experiments have been conducted to investigate the stress field. This study investigated its evolution by constructing a large-scale physical model according to the in situ conditions of the longwall panel. Theoretical analysis was used to reveal the mechanism of stress distribution in the overburden. The modelling results showed that: (1) The major principal stress field is arch-shaped, and the strata overlying both the solid zones and gob constitute a series of coordinated load-bearing structures. The stress increasing zone is like a macro stress arch. High stress is especially concentrated on both shoulders of the arch-shaped structure. The stress concentration of the solid zone in front of the gob is higher than the rear solid zone. (2) The characteristics of the vertical stress field in different regions are significantly different. Stress decreases in the zone above the gob and increases in solid zones on both sides of it. The mechanical analysis show that for a given stratum, the trajectories of principal stress are arch-shaped or inversely-arched, referred to as the “principal stress arch”, irrespective of its initial breaking or periodic breaking, and determines the fracture morphology. That is, the trajectories of tensile principal stress are inversely arched before the first breaking of the strata, and cause the breaking lines to resemble an inverted funnel. In case of periodic breaking, the breaking line forms an obtuse angle with the advancing direction of the panel. Good agreement was obtained between the results of physical modeling and the theoretical analysis.
62 citations
TL;DR: In this paper, the elastic field of a semi-infinite wedge crack and its interaction with a screw dislocation under mode III loading conditions are examined and the stress field around the wedge crack is expressed in terms of a wedge stress intensity factor.
Abstract: The elastic field of a semi‐infinite wedge crack and its interaction with a screw dislocation under mode III loading conditions are examined. The stress field around the wedge crack is expressed in terms of a wedge stress intensity factor. The rate of falloff of the stress field with distance from the crack tip is found to be a function of the wedge angle. The relationship between the stress intensity factors for the wedge and sharp cracks is derived and used to estimate the magnitude of stress relaxation occurring at the crack tip due to crack blunting. The crack extension force for the wedge crack is calculated and is shown to be zero. The modifications in the stress field and the local wedge stress intensity factor due to the presence of the dislocation are calculated. From the image stress on the dislocation, the condition for the emission of dislocations from the wedge crack is obtained in terms of the critical wedge stress intensity factor for dislocation generation. It is found that the emission of dislocations from the crack tip is more difficult when the crack is blunting.
62 citations
TL;DR: In this article, the authors analyzed both continuous and campaign-mode GPS data collected between 1999.00 and 2011.00 across the area and compiled a multidisciplinary dataset of well-constrained stress indicators to be compared with the geodetic results.
62 citations