Results 71 to 80 of about 1,011,292 (311)
New Trends in Free Boundary Problems [PDF]
Advanced Nonlinear Studies, 2017 Abstract We present a series of recent results on some new classes of free boundary problems.Differently from the classical literature, the problems considered have either a “nonlocal” feature (e.g., the interaction or/and the interfacial energy may depend on global quantities) or a “nonlinear” flavor (namely, the total energy is the ...
Dipierro, Serena +2 more
openaire +5 more sources
Advanced Engineering Materials, EarlyView.Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley +1 more source
Global regularity for the free boundary in the obstacle problem for the fractional Laplacian [PDF]
, 2015 :We study the regularity of the free boundary in the obstacle problem for the fractional Laplacian under the assumption that the obstacle $\varphi$ satisfies $\Delta\varphi\leq 0$ near the contact region.
B. Barrios, A. Figalli, Xavier Ros-Oton
semanticscholar +1 more source
THE STEFAN PROBLEM WITH KINETIC FUNCTIONS AT THE FREE BOUNDARY [PDF]
Journal of Sciences, Islamic Republic of Iran, 1999 This paper considers a class of one-dimensional solidification problem in which kinetic undercooling is incorporated into the temperature condition at the interface. A model problem with nonlinear kinetic law is considered.
doaj
Two Simple Numerical Methods for the Free Boundary in One-Phase Stefan Problem
Journal of Applied Mathematics, 2014 We present two simple numerical methods to find the free boundary in one-phase Stefan problem. The work is motivated by the necessity for better understanding of the solution surface (temperatures) near the free boundary.
Seung Hyun Kim
doaj +1 more source
A free boundary problem for the Stokes equations [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2016 A free boundary problem for the Stokes equations governing a viscous flow with over-determined condition on the free boundary is investigated. This free boundary problem is transformed into a shape optimization one which consists in minimizing a Kohn–Vogelius energy cost functional. Existence of the material derivatives of
Bouchon, François +3 more
openaire +3 more sources
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
STRATIFICATION OF FREE BOUNDARY POINTS FOR A TWO-PHASE VARIATIONAL PROBLEM [PDF]
, 2015 In this paper we study the two-phase Bernoulli type free boundary problem arising from the minimization of the functional $$ J(u):=\int_{\Omega}|\nabla u|^p +\lambda_+^p\,\chi_{\{u>0\}} +\lambda_-^p\,\chi_{\{u\le 0\}}, \quad 1 0$.
S. Dipierro, A. Karakhanyan
semanticscholar +1 more source
Continuity of the free boundary in elliptic problems with Neuman boundary condition
Electronic Journal of Differential Equations, 2015 We show the continuity of the free boundary in a class of two dimensional free boundary problems with Neuman boundary condition, which includes the aluminium electrolysis problem and the heterogeneous dam problem with leaky boundary condition.
Abderachid Saadi
doaj
Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley +1 more source