Results 71 to 80 of about 95,793 (250)
Deep Underground Science and Engineering, EarlyView.The rock failure mode is significantly influenced by the contributing factors, such as the joint inclination, the initial confining pressure, and the unloading point. We found six typical rock failure modes after a large number of numerical tests. Abstract Excavation unloading damages rock masses, with preferential failure along geological defects in ...
Fei Liu +4 more
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Existence theorems for nonlinear elliptic problems
Journal of Inequalities and Applications, 2001 In this paper we prove two theorems for noncoercive elliptic boundary value problems using the critical point theory of Chang and the subdifferentiable of Clarke.
Halidias Nikolaos
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Nonlinear resonant problems with an indefinite potential and concave boundary condition
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We consider a nonlinear elliptic problem driven by the $p$-Laplacian plus and indefinite potential term. The reaction is $(p-1)$-linear and resonant and the boundary term is concave. The problem is nonparametric.
Nikolaos Papageorgiou, Andrea Scapellato
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Bifurcation for Nonlinear Elliptic Boundary Value Problems II
Tokyo Journal of Mathematics, 1996 Les auteurs étudient le problème d'ordre 2 dans \(\mathbb{R}^n\) \[ Au = f(x,u)\quad\text{ sur } D, \quad Bu=a {\partial u\over \partial \nu} + bu=0 \quad\text{ sur } \partial D. \] L'introduction d'inequations permet d'encadier les solutions et de montier l'existence d'une solution positive unique.
Taira, Kazuaki, Umezu, Kenichiro
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Deep Underground Science and Engineering, EarlyView.Three sets of strength data were selected, including hydrostatic pressure independent within the brittle region (HPI‐B), hydrostatic pressure dependent within the brittle region (HPD‐B), and hydrostatic pressure dependent within the brittle–ductile region (HPD‐BD). For HPI type, the failure envelope within the deviatoric plane remains constant.
Jiacun Liu +3 more
wiley +1 more source
Deep Underground Science and Engineering, EarlyView.The flowchart illustrates rock specimen testing, vibration signal acquisition, and feature extraction with Gaborlet and sparse filtering for classification. Abstract Traditional lithology identification methods mainly rely on core sampling and well‐logging data.
Jian Hao +5 more
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Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2006 Homogenization of two different classes of optimal control problems, namely, the control problem of nonlinear singular parabolic system and the control problem of linear elliptic system in perforated domain, have been considered.
P.I. Kogut +2 more
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Quasilinear Elliptic Problems Via Nonlinear Rayleigh Quotient
Asymptotic AnalysisIt is established existence and multiplicity of solution for the following class of quasilinear elliptic problems: {
Silva, Edcarlos D. +3 more
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A Non-Linear Elliptic Eigenvalue Problem
IMA Journal of Applied Mathematics, 1979 The solutions (λ, u(x, y)) of ∇ 2u = -f(u) in the rectangleD(δ) ≡ {(x, y)|0 < x Y < t, 0 < y < 1 + δ}which have u=0 on the boundary of D(δ) are considered in detail for the cases f(u)=sinh u and f(u)=u-u 3. The trivial solution, where u=0, exists for all λ.
Budden, P, Norbury, J
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Seismic analysis and design of tunnels within fault ground: A review
Deep Underground Science and Engineering, EarlyView.The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang +6 more
wiley +1 more source