Results 81 to 90 of about 15,245 (222)
A Novel Approach to Thermo‐Mechanically Coupled, Gradient‐Enhanced Damage Modeling
International Journal for Numerical Methods in Engineering, Volume 126, Issue 12, 30 June 2025.ABSTRACT Thermo‐mechanical damage, such as thermal shock, is a common engineering problem. It constitutes a challenging problem that damage and temperature are conversely interacting with each other: Material damage leads to an increase in temperature due to energy dissipation; temperature also influences damage evolution.
Fangrui Liu +2 more
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Toward stochastic imperfect interfaces
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 4, April 2025.Abstract In this article, we propose two families of models for damaged materials that take uncertainties into account. First, in the context of standard materials, two volume models are proposed. Uncertainties are introduced using the Itô integral. Second, two interface models are proposed. For this, a technique of asymptotic developments is proposed,
Caroline Bauzet +3 more
wiley +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi +3 more
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This paper presents a comprehensive stability analysis of regularized Newton methods for solving monotone inclusion problems of the form 0 ∈ A(x) + F(x), where A is a maximal monotone operator and F is a Lipschitz continuous operator with bounded variation.
Boushra Abbas, Anwarud Din
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The Continuity of Subdifferential Mapping
Journal of Mathematical Analysis and Applications, 1997 The authors discuss continuity of the subdifferential mapping of the gauge of a bounded convex set with the origin an interior point and find a single-valuedness criterion for the mapping.
Wang, Jian-Hua, Nan, Chao-Xun
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Dense subdifferentiability and trustworthiness for arbitrary subdifferentials
, 2010 We show that the properties of dense subdifferentiability and of trustworthiness are equivalent for any subdifferential satisfying a small set of natural axioms. The proof relies on a remarkable property of the subdifferential of the inf-convolution of two (non necessarily convex) functions.
Jules, Florence, Lassonde, Marc
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Submonotone subdifferentials of Lipschitz functions [PDF]
Transactions of the American Mathematical Society, 1981 The class of "lowwer- C 1 {C^1} " functions, that is functions which arise by taking the maximum of a compactly indexed family of C 1 {C^1} functions, is characterized in terms of properties of the generalized subdifferential.
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A class of thermal sub-differential contact problems
AIMS Mathematics, 2017 We study a class of dynamic sub-differential contact problems with friction, and thermale ects, for time depending long memory visco-elastic materials, with or without the clamped condition.We describe the mechanical problem, derive its variational ...
Oanh Chau
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Maximizing the Closed Loop Asymptotic Decay Rate for the Two-Mass-Spring Control Problem
, 2006 We consider the following problem: find a fixed-order linear controller that maximizes the closed-loop asymptotic decay rate for the classical two-mass-spring system.
Henrion, Didier, Overton, Michael L.
core +2 more sources
Abstract and Applied Analysis, 2013 We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions ...
He Qinghai, Zhang Binbin
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