On the refined boundary condition at the edge of a thin elastic strip supported by a Winkler-type foundation under antiplane shear deformation

L Prikazchikova, E Nolde, W Miszuris… - International Journal of …, 2024 - Elsevier
The derivation of the boundary conditions is the most challenging part of the asymptotic
techniques underlying low-dimensional models for thin elastic structures. At the moment …

Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem

P Musolino, G Mishuris - Philosophical Transactions of …, 2022 - royalsocietypublishing.org
We study the asymptotic behaviour of solutions of a boundary value problem for the Laplace
equation in a perforated domain in R n, n≥ 3, with a (nonlinear) Robin boundary condition …

Evaluation of transmission conditions for thin reactive heat-conducting interphases

G Mishuris, W Miszuris, A Öchsner - Defect and Diffusion Forum, 2008 - Trans Tech Publ
Imperfect transmission conditions modelling a thin reactive intermediate layer be-tween two
bonded materials in a dissimilar strip are derived in this paper. The interphase material is …

Universal transmission conditions for thin reactive heat-conducting interphases

W Miszuris, A Öchsner - Continuum Mechanics and Thermodynamics, 2013 - Springer
New imperfect transmission conditions for a thin nonlinear heat-resistant reactive interphase
situated between two different materials are evaluated. The transmission conditions are …

Fractional heat conduction in solids connected by thin intermediate layer: Nonperfect thermal contact

Y Povstenko, T Kyrylych - Continuum Mechanics and Thermodynamics, 2019 - Springer
We examine the transition region between two solids which state differs from the state of
contacting media. Small thickness of the intermediate region allows us to reduce a three …

Transmission conditions for thin reactive heat-conducting interphases: general case

G Mishuris, W Miszuris, A Öchsner - Defect and Diffusion Forum, 2009 - Trans Tech Publ
Imperfect transmission conditions modelling a thin reactive intermediate layer be-tween two
bonded materials in a dissimilar strip are derived in this paper in most general case …

Nonlinear transmission conditions for thin curvilinear low-conductive interphases

D Andreeva, W Miszuris - Continuum Mechanics and Thermodynamics, 2017 - Springer
In this paper, we consider the heat transfer problem in a cylindrical composite material with
an adhesive interphase of closed curvilinear shape. The interphase exhibits nonlinear …

A new finite element formulation for thin non-homogeneous heat-conducting adhesive layers

A Öchsner, G Mishuris - Journal of adhesion science and …, 2008 - Taylor & Francis
A thin heat-conducting adhesive layer is considered in a two-dimensional approach. The
material of the adhesive layer exhibits an arbitrary non-homogeneous thermal conductivity …

Numerical method for solving joint thermo-diffusive problems in an infinite combined domain with thin resistant interphase

M Wrobel, G Mishuris - The International Journal of …, 2009 - themultiphysicsjournal.com
This work deals with a class of Boundary Value Problems describing jointthermo-diffussive
fields in an infinite combined domain, which consists oftwo subdomains, matched by a thin …

Numerical modelling of mass transfer problems in combined domains with non-linear imperfect transmission conditions

M Wrobel, G Mishuris - Defect and Diffusion Forum, 2009 - Trans Tech Publ
This work deals with a nonlinear mass transfer problem in an infinite combined domain,
consisting of half-space matched to a bounded part via a thin intermediate layer. The latter …