Special Issue "Advances in Structural Mechanics Modeled with FEM"

A special issue of Materials (ISSN 1996-1944). This special issue belongs to the section "Materials Simulation and Design".

Deadline for manuscript submissions: 31 December 2020.

Special Issue Editors

Prof. Dr. Angelo Marcello Tarantino
Website
Guest Editor
University of Modena and Reggio Emilia, Modena, Italy
Interests: viscoelasticity; fracture mechanics and dynamic propagation of cracks; bifurcation theory, nonlinear dynamics and chaos; piezoelasticity and magnetoelasticity; contact problems; equilibrium, bifurcation and stability in finite elasticity; fiber-reinforced concretes and earthquake engineering
Prof. Dr. Carmelo Majorana
Website
Guest Editor
University of Padova
Interests: nonlinear modeling of geomaterials; multiscale problems; coupled mechanisms; fire risk in structures; non-local algorithms; dynamic stability of beams and shells
Prof. Dr. Raimondo Luciano
Website
Guest Editor
University of Napoli Parthenope
Interests: unilateral problems; computational analysis of masonry structures; computational mechanics of composite materials; computational micromechanics; nonlinear and nonlocal theories; structures in c.a.p.; dynamics of structures; constructions in seismic zones; micro- and nano-mechanics; composite materials in civil engineering
Dr. Michele Bacciocchi
Website1 Website2
Guest Editor
1. Department of Civil, Chemical, Environmental, and Materials Engineering (DICAM), University of Bologna, Viale del Risorgimento, 40136 Bologna, Italy
2. Dipartimento di Economia, Scienze e Diritto (DESD), University of San Marino, Via Consiglio dei Sessanta, 47891 Dogana, San Marino
Interests: Finite element methods; Structural mechanics; Plates and beams; Numerical analysis; Laminated composites; Multi-phase composites; Innovative composite materials; Functionally graded materials; Carbon nanotubes
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Special Issue Information

Dear Colleagues,

It is well-known that many structural and physical problems cannot be solved by analytical approaches. Such problems require the development of numerical methods to get approximate but accurate solutions. The Finite Element Method (FEM) represents one of the most typical methodologies that can be used to achieve this aim, due to its simple implementation, easy adaptability, and very good accuracy. For these reasons, the FEM is a widespread technique which is employed in many engineering fields, such as civil, mechanical, and aerospace engineering.

The large-scale deployment of powerful computers and the consequent recent improvement of the computational resources have provided the tools to develop numerical approaches that are able to solve more complex structural systems characterized by peculiar mechanical configurations. Laminated or multi-phase composites, structures made of innovative materials, and nanostructures are just some examples of applications that are commonly and accurately solved by FEM. Analogously, the same numerical approaches can be employed to validate the results of experimental tests.

The main aim of this Special Issue is to collect numerical investigations focused on the use of the Finite Element Method. Authors are encouraged to submit innovative applications solved by means of the FEM. The structural systems analyzed in the researches should be also well-described from the mechanical point of view, and particular emphasis may be given to advanced materials.

The topics of interest include, but are not limited to

  • Numerical analyses of structural systems by FEM;
  • Investigations of the mechanical behaviors of beams, plates, and shells;
  • Numerical studies of laminated composite systems;
  • Advanced and innovative composites;
  • Accuracy and convergence analyses of FEM or Finite Element-based methods;
  • Numerical approaches for the mechanical analysis of nanostructures;
  • FEM applications for elasticity problems;
  • Linear and nonlinear behaviors of structures;
  • Mechanical characterization of innovative constituents;
  • Validation of experimental procedures.

Prof. Dr. Angelo Marcello Tarantino
Prof. Dr. Carmelo Majorana
Prof. Dr. Raimondo Luciano
Dr. Michele Bacciocchi
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. Materials is an international peer-reviewed open access semimonthly 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 2000 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.

Published Papers (6 papers)

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Research

Open AccessArticle
FE Analyses of Hyperelastic Solids under Large Bending: The Role of the Searle Parameter and Eulerian Slenderness
Materials 2020, 13(7), 1597; https://doi.org/10.3390/ma13071597 - 01 Apr 2020
Abstract
A theoretical model concerning the finite bending of a prismatic hyperelastic solid has been recently proposed. Such a model provides the 3D kinematics and the stress field, taking into account the anticlastic effects arising in the transverse cross sections also. That model has [...] Read more.
A theoretical model concerning the finite bending of a prismatic hyperelastic solid has been recently proposed. Such a model provides the 3D kinematics and the stress field, taking into account the anticlastic effects arising in the transverse cross sections also. That model has been used later to extend the Elastica in the framework of finite elasticity. In the present work, Finite Element (FE) analyses of some basic structural systems subjected to finite bending have been carried out and the results have been compared with those provided by the theoretical model performed previously. In the theoretical formulation, the governing equation is the nonlinear local relationship between the bending moment and the curvature of the longitudinal axis of the bent beam. Such a relation has been provided in dimensionless form as a function of the Mooney–Rivlin constitutive constants and two kinematic dimensionless parameters termed Eulerian slenderness and compactness index of the cross section. Such parameters take relevance as they are involved in the well-known Searle parameter for bent solids. Two significant study cases have been investigated in detail. The results point out that the theoretical model leads to reliable results provided that the Eulerian slenderness and the compactness index of the cross sections do not exceed fixed threshold values. Full article
(This article belongs to the Special Issue Advances in Structural Mechanics Modeled with FEM)
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Open AccessArticle
Material-Oriented Shape Functions for FGM Plate Finite Element Formulation
Materials 2020, 13(3), 803; https://doi.org/10.3390/ma13030803 - 10 Feb 2020
Abstract
A four-noded finite element of a moderately thick plate made of functionally graded material (FGM) is presented. The base element is rectangular and can be extended to any shape using a transformation based on NURBS functions. The proposed 2D shape functions are consistent [...] Read more.
A four-noded finite element of a moderately thick plate made of functionally graded material (FGM) is presented. The base element is rectangular and can be extended to any shape using a transformation based on NURBS functions. The proposed 2D shape functions are consistent with the physical interpretation and describe the states of element displacement caused by unit displacements of nodes. These functions depend on the FGM’s material parameters and are called material-oriented. The shape function matrix is based on a superposition displacement field of two plate strips with 1D exact shape functions. A characteristic feature of the proposed formulation is full coupling of the membrane and bending states in the plate. The analytical form of the stiffness matrix and the nodal load vector was obtained, which leads to the numerical efficiency of the formulation. The element has been incorporated into Abaqus software with the use of Maple program. The finite element shows good convergence properties for different FGM models in the transverse direction to the middle plane of the plate. During derivation of the 2D plate element the formally exact 1D finite element for transverse nonhomogeneous FGM plate strip was developed. Full article
(This article belongs to the Special Issue Advances in Structural Mechanics Modeled with FEM)
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Open AccessArticle
Rate-Dependent Cohesive Zone Model for Fracture Simulation of Soda-Lime Glass Plate
Materials 2020, 13(3), 749; https://doi.org/10.3390/ma13030749 - 06 Feb 2020
Abstract
In this paper, rate-dependent cohesive zone model was established to numerical simulate the fracture process of soda-lime glass under impact loading. Soda-lime glass is widely used in architecture and automobile industry due to its transparency. To improve the accuracy of fracture simulation of [...] Read more.
In this paper, rate-dependent cohesive zone model was established to numerical simulate the fracture process of soda-lime glass under impact loading. Soda-lime glass is widely used in architecture and automobile industry due to its transparency. To improve the accuracy of fracture simulation of soda-lime glass under impact loading, strain rate effect was taken into consideration and a rate-dependent cohesive zone model was established. Tensile-shear mixed mode fracture was also taken account. The rate-dependent cohesive zone model was implemented in the commercial finite element code ABAQUS/Explicit with the user subroutine VUMAT. The fracture behavior of a monolithic glass plate impacted by a hemispherical impactor was simulated. The simulation results demonstrated that the rate-dependent cohesive zone model is more suitable to describe the impact failure characteristics of a monolithic glass plate, compared to cohesive zone model without consideration of strain rate. Moreover, the effect of the strain rate sensitivity coefficient C, the mesh size of glass plate and the impact velocity on the fracture characteristics were studied. Full article
(This article belongs to the Special Issue Advances in Structural Mechanics Modeled with FEM)
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Open AccessArticle
Free Vibrations of Sandwich Plates with Damaged Soft-Core and Non-Uniform Mechanical Properties: Modeling and Finite Element Analysis
Materials 2019, 12(15), 2444; https://doi.org/10.3390/ma12152444 - 31 Jul 2019
Cited by 3
Abstract
The paper aims to investigate the natural frequencies of sandwich plates by means of a Finite Element (FE) formulation based on the Reissner-Mindlin Zig-zag (RMZ) theory. The structures are made of a damaged isotropic soft-core and two external stiffer orthotropic face-sheets. These skins [...] Read more.
The paper aims to investigate the natural frequencies of sandwich plates by means of a Finite Element (FE) formulation based on the Reissner-Mindlin Zig-zag (RMZ) theory. The structures are made of a damaged isotropic soft-core and two external stiffer orthotropic face-sheets. These skins are strengthened at the nanoscale level by randomly oriented Carbon nanotubes (CNTs) and are reinforced at the microscale stage by oriented straight fibers. These reinforcing phases are included in a polymer matrix and a three-phase approach based on the Eshelby-Mori-Tanaka scheme and on the Halpin-Tsai approach, which is developed to compute the overall mechanical properties of the composite material. A non-uniform distribution of the reinforcing fibers is assumed along the thickness of the skin and is modeled analytically by means of peculiar expressions given as a function of the thickness coordinate. Several parametric analyses are carried out to investigate the mechanical behavior of these multi-layered structures depending on the damage features, through-the-thickness distribution of the straight fibers, stacking sequence, and mass fraction of the constituents. Some final remarks are presented to provide useful observations and design criteria. Full article
(This article belongs to the Special Issue Advances in Structural Mechanics Modeled with FEM)
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Open AccessArticle
Investigation of the Flow Properties of CBM Based on Stochastic Fracture Network Modeling
Materials 2019, 12(15), 2387; https://doi.org/10.3390/ma12152387 - 26 Jul 2019
Cited by 4
Abstract
Coal contains a large number of fractures, whose characteristics are difficult to describe in detail, while their spatial distribution patterns may follow some macroscopic statistical laws. In this paper, several fracture geometric parameters (FGPs) were used to describe a fracture, and the coal [...] Read more.
Coal contains a large number of fractures, whose characteristics are difficult to describe in detail, while their spatial distribution patterns may follow some macroscopic statistical laws. In this paper, several fracture geometric parameters (FGPs) were used to describe a fracture, and the coal seam was represented by a two-dimensional stochastic fracture network (SFN) which was generated and processed through a series of methods in MATLAB. Then, the processed SFN image was able to be imported into COMSOL Multiphysics and converted to a computational domain through the image function. In this way, the influences of different FGPs and their distribution patterns on the permeability of the coal seam were studied, and a finite element model to investigate gas flow properties in the coal seam was carried out. The results show that the permeability of the coal seam increased with the rising of fracture density, length, aperture, and with the decrease of the angle between the fracture orientation and the gas pressure gradient. It has also been found that large-sized fractures have a more significant contribution to coal reservoir permeability. Additionally, a numerical simulation of CBM extraction was carried out to show the potential of the proposed approach in the application of tackling practical engineering problems. According to the results, not only the connectivity of fractures but also variations of gas pressure and velocity can be displayed explicitly, which is consistent well with the actual situation. Full article
(This article belongs to the Special Issue Advances in Structural Mechanics Modeled with FEM)
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Open AccessArticle
An Efficient Beam Element Based on Quasi-3D Theory for Static Bending Analysis of Functionally Graded Beams
Materials 2019, 12(13), 2198; https://doi.org/10.3390/ma12132198 - 08 Jul 2019
Cited by 1
Abstract
In this paper, a 2-node beam element is developed based on Quasi-3D beam theory and mixed formulation for static bending of functionally graded (FG) beams. The transverse shear strains and stresses of the proposed beam element are parabolic distributions through the thickness of [...] Read more.
In this paper, a 2-node beam element is developed based on Quasi-3D beam theory and mixed formulation for static bending of functionally graded (FG) beams. The transverse shear strains and stresses of the proposed beam element are parabolic distributions through the thickness of the beam and the transverse shear stresses on the top and bottom surfaces of the beam vanish. The proposed beam element is free of shear-looking without selective or reduced integration. The material properties of the functionally graded beam are assumed to vary according to the power-law index of the volume fraction of the constituents through the thickness of the beam. The numerical results of this study are compared with published results to illustrate the accuracy and convenience rate of the new beam element. The influence of some parametrics on the bending behavior of FGM beams is investigated. Full article
(This article belongs to the Special Issue Advances in Structural Mechanics Modeled with FEM)
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