Magnetoelectric (ME) effect is a product property arising out of the interactions between the piezoelectric and the magnetostrictive phase. Multi-phase ME composites being multifunctional materials find use in myriad of applications. In this work, epoxy free two phase and three phase embedded ring ME composites have been fabricated by the press-fit technique. For a comparative study, three phase conventional

Fracture and fragmentation in three dimensions are of great importance to understand the mechanical behaviour of quasi-brittle materials in failure stress states. In this paper, a generic computational model has been developed in an in-house C/C++ code using the combined finite-discrete element method, which is capable of modelling the entire three-dimensional fracturing process, including pre-peak

A periodically supported beam on a visco-elastic half-space is considered to model the vibration of railway tracks. The viscosity of the half-space is assumed to be of the Kelvin-Voigt type. Making use of the concept of equivalent dynamic stiffness, the reaction of the half-space to the sleepers is replaced by a system of identical spring located under each sleeper. The frequency-dependent equivalent

In the first Part (Part I) of this series, the plane quasi-static incremental problem was formulated as a mixed complementarity-inclusion problem and as a linear complementarity problem. The current paper (Part II of the series) presents a numerical examination for the existence or the occurrence of multiple solutions to the quasi-static incremental problem of a two degree of freedom elastic system

We critically assess diffuse interface models for fluid transport in fractured porous media. Such models, often called fracture phase field models, are commonly used to simulate hydraulic stimulation or hydraulic fracturing of fluid-saturated porous rock. In this paper, we focus on the less complex case of fluid transport in stationary fracture networks that is triggered by a hydro-mechanical interaction

Nowadays, AFM-based robots are widely utilized for transporting different nanoparticles. Using this devise as a tool for nanomanipulation, it is possible to specify the exact location of a nanoparticle in micro/nano-scale. In the fields of dynamics, contact mechanics and control of nanomanipulation for atomic force microscopy, accurate investigation and analysis of the motion of nanoparticles and the

The gradient smoothing method(GSM) is used to approximate the derivatives of the meshfree shape function and it usually generates the smoothing domain by connecting the midpoints of sides and centroids of elements around the interested node. In order to simplify the generating process and geometric computation of smoothing domain, a local gradient smoothing method (LGSM) has been proposed in which

In this paper, an improvement is made to an efficient direct method for numerical evaluation of high order singular curved boundary integrals. Then this improved singular integral evaluation method is employed to solve the strongly and hypersingular integrals involved in the dual boundary element method (Dual BEM), which combine the use of displacement and traction boundary integral equations to solve

Motivated by the different uniaxial responses of two actual materials filled with either sifted glass beads or sifted glass grits, the influence of the fillers shape on the finite strain behavior of highly filled composites (>50%) is examined through micromechanical finite element simulations accounting for matrix/filler debonding with a cohesive-zone model. Three-dimensional matrix cells filled with

The present study is devoted to investigate the oscillatory behaviors of the 16-pole rotor active magnetic bearing system. A controllable electromagnetic force generated via a conventional proportional-derivative controller is utilized to stabilize the system lateral oscillations that excited by the rotating disk eccentricity when the spinning speed (Ω) is close to or equal the system linear natural

In present paper, a linear thermoelastic theory for porous materials is established by extending the existing theory, in which the strain relaxation and the thermal relaxation are included. Based on the thermodynamic laws, the constitutive relations are derived, and then the corresponding constitutive equations are obtained by specifying the generalized free energy. Further, by combining the existing

Fractional thermoelastic models have been formulated from classical thermoelasticity or extended thermoelasticity, i.e. Lord-Shulman or Green-Naghdi theory. It seems different authors have different physical pictures on such topic, for instance, there exist several approaches from Lord-Shulman model to fractional order ones. This work is aimed to simplify the theoretical frameworks by clarifying connections

This paper presents a new metamaterial plate (metaplate) made by a periodic repetition of ‘frame-springs-mass’ systems for vibration isolation. Numerical studies and experimental measurements demonstrate that the proposed structure show a complete 3D phononic bandgap in the low-frequency range. In the numerical computation of the transmission diagram, the self-weight gravity, the material damping,

Previous studies on a polygonal inclusion have been concerned primarily with the stress/strain solutions of uniform eigenstrains, while the analyses of the displacements are less elaborated in literature. By employing the method of Green's function, the displacement solution may be formulated in an area integral, which is then converted to a contour integral around the boundary of the inclusion. This

In this work, an analytical model was developed to study the distribution of electric potential in a graphene reinforced nanocomposite (GRNC) nanowire. The electromechanical responses such as electric potential and deflection of cylindrical GRNC cantilevered nanowire were investigated. Moreover, the conservative fully coupled finite element (FE) models were developed to validate the analytical predictions

This paper aims to present a Continuum Damage Mechanics based fracture model. Two yield surfaces, plastic and damage, are utilized to develop the model. A modified ductile fracture model coupling both stress triaxiality and Lode angle parameter is then proposed. The proposed model is applied to construct the fracture loci of four types of metal alloys: steel HY100, steel PCrNi3MoVA, aluminum 2024-T351

In this paper, an interpolation-based anisotropic yield model and a corresponding anisotropic hardening model are proposed. The proposed yield model is an improvement on Vegter and van den Boogaard (2006)’s yield model. By introducing shape parameters into Bézier basis function to control the curvature of the curve, the number of interpolation curve segments is effectively reduced. The proposed yield

In this paper, a modified Hertz model inspired by numerical simulations is proposed to predict the contact response of a linearly elastic half-space under finite spherical indentations. The proposed contact model presents a theoretical fundamental to measure the Young's moduli of the soft materials based on the finite indentation tests. The axisymmetric finite element (FE) model is created, and it

Natural frequencies of laminates during its progressive failure are investigated using finite element method. The finite element formulation is based on seven degrees of freedom displacement field, deduced for an orthotropic material. Free vibration analysis is carried out during ply-by-ply failure for a laminate subjected to uniformly distributed load. The variation of fundamental frequency with material

A detailed study is conducted to investigate the effect of silicon carbide (SiC) particles on the mechanical behaviour of viscoelastic woven glass/epoxy composite. A novel operator based micromechanical modelling in conjunction with finite element formulation of hybrid composite is derived considering the modulus operator for fibre, matrix as well as filler particles. A time-domain higher-order equation

Rotating machinery are known to exhibit backward whirls (BW), which means that the rotating system precesses in the direction opposite to that of its rotation. Since backward whirl is an important characteristic of the dynamic response that almost always points to significant problems and degradations within the system, it is of high interest to study, characterize and predict this phenomenon. To this

In this paper, a double finite integral transform method is developed for analytical bending solutions of non-Lévy-type cylindrical shell panels without a free edge that were not obtained by classical semi-inverse methods. Three double finite integral transforms are imposed on the governing high-order partial differential equations, which, with some boundary conditions, yields the relationship between

In the present study, considering the random distribution of carbon nanotubes in polymethylmethacrylate (PMMA) polymer, a multi-scale finite element method has been developed to investigate the mechanical behavior of these materials. In order to make realistic assumptions, the interface zone between the nanotubes and the matrix is simulated using the interfacial zone model (IZM), with its parameters

This research experimentally determines the Gurson-Tvergaard-Needleman (GTN) model damage mechanics parameters for 6061 Al alloys. Five different heat treatment conditions including T4 (natural aging) and T6 (peak strength) conditions of 6061 Al alloy were investigated. The GTN parameters considering different heat treatment conditions of the alloy were obtained by tensile tests. Scanning electron

This paper presents the first attempt to investigate the fracture behavior of functionally graded multilayer nanocomposite strip reinforced with a low content of graphene platelets (GPLs) whose weight fraction is gradually changed in the thickness direction according to different non-uniform and uniform distribution patterns. Based on the transfer matrix method and Fourier integral transform technique

A mathematical model for a rotated triangular tube array with 7 rigid-body degrees of freedom subject to two-phase flow and loose support was presented to study the two-phase flow-induced instability and nonlinear dynamics in the parallel direction. To verify the correctness of this model, an experiment was carried out to obtain the Hopf bifurcation velocities of fluidelastic instability of a rotated

This paper presents a stiffening method by which new inclined walls are added to the classical re-entrant honeycomb cell. This modification boosts the in-plane rigidity of the re-entrant cell without significant loss from auxetic behaviour. This study focuses on the in-plane elasticity moduli and negative Poisson's ratios along the principal axes. Analytical expressions that calculate the elasticity

Dynamic strain aging hugely affects the microstructural mechanical behavior of metallic materials when activated. It has been extensively reported in the literature that the dynamic strain aging causes significant gaps between model predictions and experimental measurements. Without considering this phenomenon, a constitutive model is unable to accurately capture the material behavior when it is active

In this study, the frictional contact problem of a functionally graded (FG) monoclinic layer was addressed based on the linear elasticity theory. The FG monoclinic layer was loaded by a rigid cylindrical punch that transmits both normal and tangential concentrated loads. It was assumed that the elastic stiffness coefficients varied exponentially through the thickness of the layer. The contact area

The structural-acoustic interactions of a coupled multilayered composite cylindrical shell and internal equipment system immersed in an infinite fluid medium are analyzed. The internal equipment is installed on the cylindrical shell by a series of nonlinear compliant mounts, which are represented by nonlinear springs and linear viscous dampers. Both the translational and rotational vibrations of the

This paper investigated a hybrid Meshless Displacement Discontinuity Method (MDDM) for a cracked plate subjected to static and dynamic loadings. The purpose of MDDM is to model displacement discontinuity on a cracked surface by the displacement discontinuity method in an infinite plate. This was achieved by considering a meshless approach, the equilibrium equations, and the boundary conditions for

Based on the Rayleigh-Love theory, the dynamic stiffness matrix of a conical bar in longitudinal vibration is developed for the investigation of free vibration and response characteristics of such bars and their assemblies. First the governing differential equation of motion in free longitudinal vibration of a conical bar using the Rayleigh-Love theory which accounts for the inertia effects due to

This paper proposes a description for the contact behaviour of bolted joints through the solution of the frictional axisymmetric receding contact of a semi-infinite layer pressed against an elastically similar half-space by uniform pressure over a disc of radius b. First, the contact is assumed to be adhered and closed, and a bilateral solution is obtained. The adhered solution is then corrected using

In this paper, a theoretical method is proposed to effectively improve the vibration attenuation characteristics of a finite hybrid piezoelectric phononic crystal (PC) beam utilizing the non-uniform distribution of shunting circuits. Considering the damping of resonators, the vibration transmissibility method (TM) for the finite electromechanical system is derived based on the Timoshenko beam theory

This paper proposed the dual interpolation boundary face method with Hermite-type approximation for elasticity problems. Considering the physical relationship between displacement and traction, we also firstly present the Hermite-type approximation for elasticity problems. Compared with the standard moving least-squares (MLS) approximation, shape functions in Hermite-type approximation are directly

Rolling contact fatigue often initiates in the highly deformed surface layer of railway rails. However, the behavior of pearlitic rail steels, subjected to such large shear strains, is not well known. Due to buckling, it is not possible to obtain the large shear deformation with tubular test bars. We have, therefore, developed a novel experimental methodology. Large shear strains (up to 1.13) were

Isogeometric analysis (IGA) is an important mesh-free method for the integration of computer aided design (CAD) and computer aided engineering (CAE) but not suitable for crack propagation problems. A coupling model of IGA and non-ordinary state-based peridynamics (NOSB-PD) is proposed to solve crack initiation and propagation problems in IGA because peridynamics can deal with the discontinuities well

We present an efficient computational approach composed of forward and inverse analyses that can neatly capture multiple flaw clusters with high accuracy yet low computational effort. The inverse analysis consists of three continuous steps with distinct targets. Firstly, a combination of improved discrete artificial bee colony (IDABC) algorithm and hierarchical clustering analysis (HCA) is applied

Plane electroelastic problem is considered for a longitudinal crack in a transversely-isotropic piezoelectric half-space subject to remote electric field perpendicular to the flat surface of the half-space. The flat surface is fully covered by thin electrode and free of mechanical load. The Lekhnitskii’ generalized complex potentials are used for the solution representation. For a case of an internal

We in this article put forward a novel size-dependent beam model for static bending deformation of a functionally graded bi-semi-tube subjected to different boundary conditions based on the nonlocal strain gradient theory. The tube is formed by bonding together a ZrO2/Ti–6Al–4V functionally graded lower semi-tube and a Si3N4/SUS304 functionally graded upper one. The effective material properties Pf

This paper reports a theoretical investigation on the dynamic behaviour of two mutually interacting single-walled boron nitride nanotubes (BNNTs) under a moving nanoparticle. Both the electromechanical coupling effect and nonlocal effect are considered by employing respectively the theory of piezoelectricity and nonlocal elasticity. The interaction between the two BNNTs is considered by calculating

This paper studies the nonlinear vibration of a dielectric elastomer balloon considering both the strain-stiffening and the second invariant of the Cauchy-Green deformation tensor. To this end, the Gent-Gent hyperelastic model is proposed. The ordinary differential equation governing the motion of the system is derived using the Euler-Lagrange energy method. Then, it is solved with the application

The present paper deals with the impacts of temperature and moisture on the bending behavior of functionally graded porous plates resting on elastic foundations. The impacts of transverse shear deformation as well as the transverse normal strain are taken into consideration. The number of unknown functions involved here is only five as against six or more in case of other shear and normal deformation

We in this paper dedicate to study the snap-buckling of functionally graded multilayer graphene platelet-reinforced composite curved beams with geometrical imperfections on the nanometer length. It is supposed that graphene platelets (GPLs) are uniformly distributed and randomly oriented in each layer, while its weight fraction varies from one layer to another based on various functionally graded patterns

A composite cantilever plate model with variable high speed rotating blade subject to transverse aerodynamic force and centrifugal force is established. Based on the third-order shear deformation theory, von Karman large deformation theory and Hamilton's principle, the nonlinear partial differential governing equations of motion are established for the rotating blade with variable rotating speed. The

One of the main advantages of the filament winding (FW) process is the optimized fiber deposition, even though it is limited by the kinematics of the process and mandrel geometry. The determination of the optimum fiber path is a key challenge in the design of the FW process. In this work, the fiber path for composite nozzles is determined to seek the improvement of specific mechanical properties. The

A phenomenological constitutive theory for the ferro-electro-elastic response of polycrystalline ceramics with tetragonal perovskite structure is proposed. The state of a material point is characterized by an intrinsic polarization vector, an infinitesimal deformation tensor, and an internal variable representing the orientation distribution of the ferroelectric domains at that point. A class of convex

The present study deals with aeroelastic stability analysis of sandwich plates, containing magnetorheological fluid as the core layer, subjected to the supersonic airflow. The classical plate theory, Hamilton's principle and linear first-order piston theory have been employed to extract the governing equations of motion of the structure. The assumed mode method is used to solve the derived equations

Although being a popular approach for the modeling of laminated composites, mesoscale constitutive models often struggle to represent material response for arbitrary load cases. A better alternative in terms of accuracy is to use the FE2 technique to upscale microscopic material behavior without loss of generality, but the associated computational effort can be extreme. It is therefore interesting

In this work, thermally induced dynamic behaviors of functionally graded flexoelectric nanobeams (FGFNs) are analyzed theoretically while considering the neutral surface concept and the von Karman nonlinearity induced by thermal environment. The temperature field is assumed to vary only in the thickness direction by solving a simple steady state heat transfer equation and to be constant in the plane

In this study, an elastic-plastic model with yielding described by a newly proposed orthotropic yield criterion was used to model the unusual deformation of a strongly textured AA6060 alloy. Available experimental data from tension tests and results of crystal plasticity simulations were used to determine the anisotropy coefficients involved in the yield criterion. Virtual material tests using a recent

This paper aims at predicting the non-linear dynamic behavior of a self-aligning ball bearing supported on an unbalanced shaft system under varying shaft speed and radial load conditions. A mathematical model is developed for analyzing the behavior of the shaft-bearing system under dynamic conditions. The nonlinear stiffness, damping, and clearance act as the source of nonlinearity. The balls and the

In the analysis of the elastic behavior of a composite system composed of a solid matrix and a number of compressible liquid/gas inclusions, it is customary to incorporate the change in the magnitude of an inclusion's internal pressure (induced by the change in its volume) during deformation. However, when an inclusion has a relatively high initial pressure, the change in the direction of the pressure

The thermoelastic interactions in an infinite elastic medium with a cylindrical cavity are described in the context of the hyperbolic two-temperature generalized thermoelasticity theory (recently proposed by Youssef and El-Bary, 2018) in which heat conduction in deformable bodies depends upon the difference between the acceleration of conductive temperature and the acceleration of dynamic temperature

Lattice fibre materials are challenging the standard modelling approaches due to their specific nature that results in peculiar effective behaviours such as extremely anisotropic materials or generalized continuum media. In this context, the aim of this paper is to the determine qualitatively and quantitatively the role of the morphological and mechanical parameters by investigating simple archetypical

The effects of different boundary conditions on the composite laminate containing embedded and through-the-width delamination under bending load are investigated analytically based on a developed Layerwise Higher Order Shear Deformation Theory (LHSDT) and the results are compared with the three-dimensional Finite Element Method (FEM). Contact energy has been calculated. The results demonstrate the