Results 101 to 110 of about 219,479 (266)
EPJ Web of Conferences, 2016 Hard-sphere confinement is used to study helium atoms under pressure. The confined-helium Schrödinger equation is solved with a high accuracy by a Lagrange-mesh method.
Dohet-Eraly Jérémy, Baye Daniel
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Deep Underground Science and Engineering, EarlyView.In this article, the finite element method‐smoothed particle hydrodynamics adaptive coupling algorithm is applied to numerically simulate and analyze the dynamic response of the slit tube and the crack propagation under high in situ stress. The dynamic response of the slit tube mainly exhibits radial response in the vertical direction of the slit and ...
Zhe Sui +3 more
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Fractal and FractionalFractional calculus of variations for a broad class of fractional operators with a general analytic kernel function is considered. Using techniques from variational analysis, we derive first- and second-order necessary optimality conditions, namely the ...
Faïçal Ndaïrou
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Abstract and Applied Analysis, 2013 We obtain the general solution of Euler-Lagrange-Rassias quartic functional equation of the following . We also prove the Hyers-Ulam-Rassias stability in various quasinormed spaces when .
Heejeong Koh, Dongseung Kang
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Deep Underground Science and Engineering, EarlyView.This study investigates the blast‐induced rock damage patterns under different cut‐hole layouts and ground stress conditions through numerical simulations and field tests. The findings in this study provide valuable insights for similar underground engineering applications.
Junjie Zhao +5 more
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Deep Underground Science and Engineering, EarlyView.Aiming at the scientific frontiers of in situ fluidized mining of deep resources, a deep coal fluidized pipeline lifting system based on hydraulic conveying has been proposed. To solve the issue of particle sedimentation of large particles in horizontal connection sections, a solution involving the installation of guide vane‐type swirlers in the ...
Jiusheng Bao +5 more
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Study on fracture parameter calibration and failure characteristics of rock with hole and crack
Deep Underground Science and Engineering, EarlyView.The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
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, 2016 In this chapter Euler-Lagrange equations and the boundary conditions for a given Functional with only one independent variable with second order derivatives are derived. A general approach for solving one dimensional structures follows next. Euler-Lagrange equation leading to optimization is explained next by considering Brachistochrone problem.
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Backward Stochastic Linear Quadratic Optimal Control with Expectational Equality Constraint
MathematicsThis paper investigates a backward stochastic linear quadratic control problem with an expected-type equality constraint on the initial state. By using the Lagrange multiplier method, the problem with a uniformly convex cost functional is first ...
Yanrong Lu, Jize Li, Yonghui Zhou
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Deep Underground Science and Engineering, EarlyView.This paper investigates the high‐pressure water jet‐pick combined rock‐breaking mode (HPC), which employs high‐pressure water jets to precut grooves on both sides of the picks. The rock‐breaking patterns and performance of the HPC method are obtained, and the auxiliary rock‐breaking mechanism of water jet grooving is revealed.
Jingjing Lu +6 more
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