Special Issue "Advances in Multiscale and Multifield Solid Material Interfaces"

A special issue of Technologies (ISSN 2227-7080). This special issue belongs to the section "Innovations in Materials Processing".

Deadline for manuscript submissions: 31 December 2021.

Special Issue Editors

Prof. Dr. Raffaella Rizzoni
E-Mail Website
Guest Editor
Department of Engineering, University of Ferrara, Ferrara, Italy
Interests: solid mechanics; thin structures; shape memory alloys; masonry
Special Issues and Collections in MDPI journals
Prof. Dr. Frédéric C. Lebon
E-Mail Website
Guest Editor
Mechanics and Acoustics Laboratory, Aix-Marseille University, 13007 Marseille, France
Interests: structural mechanics; computational mechanics; contact mechanics; efficient solvers; interfaces; modelling; applications in mechanical and civil engineering
Special Issues and Collections in MDPI journals
Prof. Dr. Serge Dumont
E-Mail Website
Guest Editor
Laboratoire IMAG Montpellier, Université de Nîmes, 30021 Nîmes, France
Interests: contact mechanics; interface mechanics; computational mechanics
Prof. Dr. Michele Serpilli
E-Mail Website
Guest Editor
Department of Civil and Building Engineering, and Architecture, Università Politecnica delle Marche, 60121 Ancona AN, Italy
Interests: engineering, applied and computational mathematics; mathematical analysis; mechanical engineering; mathematical modelling

Special Issue Information

Dear Colleagues,

Interfaces play an essential role in determining the mechanical properties and the structural integrity of a wide variety of technological materials.

As new manufacturing methods become available, interface engineering and architecturing at multiscale length levels in multi-physics materials open up to applications with high innovation potential.

This Special Issue is dedicated to recent advances in fundamental and applications of solid material interfaces.

Contributions concerning theoretical, numerical and experimental aspects are welcome from scientists working in different fields of material science and mechanics of materials.

Topics to be covered include, but are not limited to, the following:

  • multi-scale modeling of interphases, thin films and surfaces, contact laws;
  • models of imperfect, sliding, debonding or cohesive interfaces in composite materials;
  • deformation, damage, fracture and other dissipative processes at interfaces;
  • advanced finite element methods for the computational modeling of interfaces and surfaces;
  • molecular dynamics simulations for interface design;
  • recent developments of adhesive technology and materials.
Prof. Dr. Raffaella Rizzoni
Prof. Dr. Frédéric C. Lebon
Prof. Dr. Serge Dumont
Prof. Dr. Michele Serpilli
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Technologies is an international peer-reviewed open access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • contact mechanics
  • thin solid layers
  • interface
  • adhesion
  • joints
  • composites
  • numerical simulations
  • debonding
  • smart adhesives
  • coating

Published Papers (6 papers)

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Research

Article
A Model of Damage for Brittle and Ductile Adhesives in Glued Butt Joints
Technologies 2021, 9(1), 19; https://0-doi-org.brum.beds.ac.uk/10.3390/technologies9010019 - 06 Mar 2021
Viewed by 781
Abstract
The paper presents a new analytical model for thin structural adhesives in glued tube-to-tube butt joints. The aim of this work is to provide an interface condition that allows for a suitable replacement of the adhesive layer in numerical simulations. The proposed model [...] Read more.
The paper presents a new analytical model for thin structural adhesives in glued tube-to-tube butt joints. The aim of this work is to provide an interface condition that allows for a suitable replacement of the adhesive layer in numerical simulations. The proposed model is a nonlinear and rate-dependent imperfect interface law that is able to accurately describe brittle and ductile stress–strain behaviors of adhesive layers under combined tensile–torsion loads. A first comparison with experimental data that were available in the literature provided promising results in terms of the reproducibility of the stress–strain behavior for pure tensile and torsional loads (the relative errors were less than 6%) and in terms of failure strains for combined tensile–torsion loads (the relative errors were less than 14%). Two main novelties are highlighted: (i) Unlike the classic spring-like interface models, this model accounts for both stress and displacement jumps, so it is suitable for soft and hard adhesive layers; (ii) unlike classic cohesive zone models, which are phenomenological, this model explicitly accounts for material and damage properties of the adhesive layer. Full article
(This article belongs to the Special Issue Advances in Multiscale and Multifield Solid Material Interfaces)
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Article
Interface Models in Coupled Thermoelasticity
Technologies 2021, 9(1), 17; https://0-doi-org.brum.beds.ac.uk/10.3390/technologies9010017 - 04 Mar 2021
Cited by 2 | Viewed by 683
Abstract
This work proposes new interface conditions between the layers of a three-dimensional composite structure in the framework of coupled thermoelasticity. More precisely, the mechanical behavior of two linear isotropic thermoelastic solids, bonded together by a thin layer, constituted of a linear isotropic thermoelastic [...] Read more.
This work proposes new interface conditions between the layers of a three-dimensional composite structure in the framework of coupled thermoelasticity. More precisely, the mechanical behavior of two linear isotropic thermoelastic solids, bonded together by a thin layer, constituted of a linear isotropic thermoelastic material, is studied by means of an asymptotic analysis. After defining a small parameter ε, which tends to zero, associated with the thickness and constitutive coefficients of the intermediate layer, two different limit models and their associated limit problems, the so-called soft and hard thermoelastic interface models, are characterized. The asymptotic expansion method is reviewed by taking into account the effect of higher-order terms and defining a generalized thermoelastic interface law which comprises the above aforementioned models, as presented previously. A numerical example is presented to show the efficiency of the proposed methodology, based on a finite element approach developed previously. Full article
(This article belongs to the Special Issue Advances in Multiscale and Multifield Solid Material Interfaces)
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Article
Effective Complex Properties for Three-Phase Elastic Fiber-Reinforced Composites with Different Unit Cells
Technologies 2021, 9(1), 12; https://0-doi-org.brum.beds.ac.uk/10.3390/technologies9010012 - 01 Feb 2021
Viewed by 743
Abstract
The development of micromechanical models to predict the effective properties of multiphase composites is important for the design and optimization of new materials, as well as to improve our understanding about the structure–properties relationship. In this work, the two-scale asymptotic homogenization method (AHM) [...] Read more.
The development of micromechanical models to predict the effective properties of multiphase composites is important for the design and optimization of new materials, as well as to improve our understanding about the structure–properties relationship. In this work, the two-scale asymptotic homogenization method (AHM) is implemented to calculate the out-of-plane effective complex-value properties of periodic three-phase elastic fiber-reinforced composites (FRCs) with parallelogram unit cells. Matrix and inclusions materials have complex-valued properties. Closed analytical expressions for the local problems and the out-of-plane shear effective coefficients are given. The solution of the homogenized local problems is found using potential theory. Numerical results are reported and comparisons with data reported in the literature are shown. Good agreements are obtained. In addition, the effects of fiber volume fractions and spatial fiber distribution on the complex effective elastic properties are analyzed. An analysis of the shear effective properties enhancement is also studied for three-phase FRCs. Full article
(This article belongs to the Special Issue Advances in Multiscale and Multifield Solid Material Interfaces)
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Article
Tykhonov Well-Posedness and Convergence Results for Contact Problems with Unilateral Constraints
Technologies 2021, 9(1), 1; https://0-doi-org.brum.beds.ac.uk/10.3390/technologies9010001 - 24 Dec 2020
Viewed by 567
Abstract
This work presents a unified approach to the analysis of contact problems with various interface laws that model the processes involved in contact between a deformable body and a rigid or reactive foundation. These laws are then used in the formulation of a [...] Read more.
This work presents a unified approach to the analysis of contact problems with various interface laws that model the processes involved in contact between a deformable body and a rigid or reactive foundation. These laws are then used in the formulation of a general static frictional contact problem with unilateral constraints for elastic materials, which is governed by three parameters. A weak formulation of the problem is derived, which is in the form of an elliptic variational inequality, and the Tykhonov well-posedness of the problem is established, under appropriate assumptions on the data and parameters, with respect to a special Tykhonov triple. The proof is based on arguments on coercivity, compactness, and lower-semicontinuity. This abstract result leads to different convergence results, which establish the continuous dependence of the weak solution on the data and the parameters. Moreover, these results elucidate the links among the weak solutions of the different models. Finally, the corresponding mechanical interpretations of the conditions and the results are provided. The novelty in this work is the application of the Tykhonov well-posedness concept, which allows a unified and elegant framework for this class of static contact problems. Full article
(This article belongs to the Special Issue Advances in Multiscale and Multifield Solid Material Interfaces)
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Article
Modeling Cylindrical Inhomogeneity of Finite Length with Steigmann–Ogden Interface
Technologies 2020, 8(4), 78; https://0-doi-org.brum.beds.ac.uk/10.3390/technologies8040078 - 18 Dec 2020
Cited by 1 | Viewed by 793
Abstract
A mathematical model employing the concept of energy-equivalent inhomogeneity is applied to analyze short cylindrical fiber composites with interfaces described by the Steigmann–Ogden material surface model. Real inhomogeneity consists of a cylindrical fiber of finite length, and its surface possessing different properties is [...] Read more.
A mathematical model employing the concept of energy-equivalent inhomogeneity is applied to analyze short cylindrical fiber composites with interfaces described by the Steigmann–Ogden material surface model. Real inhomogeneity consists of a cylindrical fiber of finite length, and its surface possessing different properties is replaced by a homogeneous, energy-equivalent cylinder. The properties of the energy-equivalent fiber, incorporating properties of the original fiber and its interface, are determined on the basis of Hill’s energy equivalence principle. Closed-form expressions for components of the stiffness tensor of equivalent fiber have been developed and, in the limit, shown to compare well with the results available in the literature for infinite fibers with the Steigmann–Ogden interface model. Dependence of those components on the radius, length of the cylindrical fiber, and surface parameters is included in these expressions. The effective stiffness tensor of the short-fiber composites with so-defined equivalent cylindrical fibers can be determined by any homogenization method developed without accounting for interface. Full article
(This article belongs to the Special Issue Advances in Multiscale and Multifield Solid Material Interfaces)
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Article
Asymptotic Justification of Models of Plates Containing Inside Hard Thin Inclusions
Technologies 2020, 8(4), 59; https://0-doi-org.brum.beds.ac.uk/10.3390/technologies8040059 - 28 Oct 2020
Cited by 2 | Viewed by 818
Abstract
An equilibrium problem of the Kirchhoff–Love plate containing a nonhomogeneous inclusion is considered. It is assumed that elastic properties of the inclusion depend on a small parameter characterizing the width of the inclusion ε as εN with N<1. The [...] Read more.
An equilibrium problem of the Kirchhoff–Love plate containing a nonhomogeneous inclusion is considered. It is assumed that elastic properties of the inclusion depend on a small parameter characterizing the width of the inclusion ε as εN with N<1. The passage to the limit as the parameter ε tends to zero is justified, and an asymptotic model of a plate containing a thin inhomogeneous hard inclusion is constructed. It is shown that there exists two types of thin inclusions: rigid inclusion (N<1) and elastic inclusion (N=1). The inhomogeneity disappears in the case of N(1,1). Full article
(This article belongs to the Special Issue Advances in Multiscale and Multifield Solid Material Interfaces)

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: Tykhonov Well-posedness and Convergence Results for  Contact Problems with Unilateral Constraints

Authors:  Mircea Sofonea and Meir Shillor

Abstract: We start by describing various  interface laws which model the contact of a deformable body with a foundation. Based on this description  we consider a  general static frictional contact problem with unilateral constraints for elastic materials, governed by a number of parameters. We list the assumptions on the data and parameters, then we derive the variational formulation of the problem. Next, we state and prove the Tykhonov well-posed of the problem with respect to a special Tykhonov triple. The proof is based on arguments of coercivity, compactness and lower semicontinuity. We use this abstract result in order to establish different convergence  results which provide the continuous dependence of the weak solution with respect to the data and parameters as well as the link between the weak solutions of different contact models. We also give the corresponding mechanical interpretations and end this paper with some concluding remarks.
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