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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: Based on projection operators, an integral formulation for elastoviscoplastic heterogeneous materials is proposed in this paper, which leads to an integral equation, in which elasticity and viscoplasticity effects interact through an homogeneous elastophoric medium.
Abstract: Based on projection operators, an integral formulation is proposed for elastoviscoplastic heterogeneous materials. The problem requires a complete mechanical formulation, including the static equilibrium property concerning the known field σ, in addition to the classical field equations concerning the unknown fields ɛ˙ and σ˙. The formulation leads to an integral equation, in which elasticity and viscoplasticity effects interact through an homogeneous elastoviscoplastic medium with elastic moduli C and viscoplastic moduli B. To approximate the integral equation, the self-consistent scheme is followed. In order to obtain consistent approximation conditions, we introduce fluctuations of elastic and viscoplastic strain rate fields with respect to known kinematically compatible fields. It results in a strain rate concentration relation connecting the strain rate at each point to the macroscopic loading conditions and the local stress field. The results are presented and compared with other models and with experimental data in the case of a two-phase material.

64 citations

Journal ArticleDOI
TL;DR: Wang et al. as discussed by the authors investigated the relationship among the mechanical properties, flaw parameters, and crack propagation patterns of coal after hydraulic slotting and found that the crack propagation pattern is quantitatively described by the fractal dimension, which is inversely proportional to the uniaxial compressive strength and elastic modulus of the specimen.
Abstract: Hydraulic slotting, an efficient technique for underground enhanced coal bed methane (ECBM) recovery, has been widely used in China. However, its pressure relief mechanism is unclear. Thus far, only limited research has been conducted on the relationships among the mechanical properties, flaw parameters, and crack propagation patterns of coal after hydraulic slotting. In addition, because of the limitations of test methods, an in-depth information is not available for this purpose. In this work, numerical models of specimens containing combined flaws are established based on particle flow code method. Our results provide insights into the effects of flaw inclination angle on the mechanical properties, crack propagation patterns, and temporal and spatial evolution rules of stress field in specimens containing combined flaws during the loading process. Besides, based on the initiation position and underlying mechanism, three types of crack initiation modes are identified from the failure processes of specimens. Finally, the crack propagation pattern is quantitatively described by the fractal dimension, which is found to be inversely proportional to the uniaxial compressive strength and elastic modulus of the specimen. To verify the rationality of the numerical simulation results, laboratory tests were conducted and their results match well with those obtained from the numerical simulation.

64 citations

Journal ArticleDOI
TL;DR: In this article, the stress concentration of a cylindrical bar with a V-shaped circumferential groove is analyzed by the body force method, and the stress field due to a ring force in an infinite body is used to solve this problem.

64 citations

Journal ArticleDOI
TL;DR: In this article, a mathematical model and the governing differential equations of the coupled problem of temperature, seepage and stress fields with phase change are derived from the theory of heat transfer and frozen soil mechanics, and the finite element formulae of this problem are obtained from Galerkin's method.

64 citations

Journal ArticleDOI
TL;DR: In this paper, a comprehensive and accurate evaluation of the microstructural support factor of sharp V-notches (Neuber's notch rounding concept) is performed, and the indispensable theoretical tools, especially the basic stress equations, are reconsidered and amended in respect of accuracy of results.

64 citations


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