The application of multi-degree of freedom nonlinear energy sinks (MDOF-NES) to control the vortex-induced vibrations of a sprung cylinder passively is investigated in this paper. The flow-induced loads on the cylinder are modeled by the wake Van der Pol oscillator. The MDOF-NES consists of three oscillators connected in series, where the first mass is linked to the cylinder structure by a linear spring

The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pre-buckled or post-buckled configurations. It is further assumed that a three-parameter nonlinear elastic foundation

This communication provides initial information and understanding of the manner in which a newly developed theoretical mechanism (Soldatos in Int J Solids Struct 202:217–225, 2020) is applied in specific boundary value problems met in polar linear elasticity of fibrous composites and thus enables the determination of the spherical part of the couple-stress tensor. In this context, it tests the applicability

The theoretical modeling of a functionally graded (FG) graphene nanoplatelet (GPL)-reinforced assembled beam–plate structure resting on elastic supports is presented for the first time, and its free vibration analysis is performed. Herein, the assembled structure is modeled according to the Kirchhoff plate theory and the Rayleigh beam theory. The graphene nanoplatelets (GPLs) gradiently distribute

In this work, a novel dynamic computational model developed for the purpose of modelling the phenomenon of friction force reduction in a sliding motion at tangential transverse vibrations of elastic support is presented. In contrast to the currently used so-called kinematic models, this model takes into account the mass of a sliding and simultaneously subjected to vibrations body. It is based on the

In this work, we present the mathematical formulation and the numerical implementation of a new model for initially straight, transversely isotropic rods. By adopting a configuration space that intrinsically avoids shear deformations and by systemically neglecting the energetic contribution due to torsion, the proposed model admits an unconstrained variational statement. Moreover, as the natural state

We derive the balance equations for a double poroelastic material which comprises a matrix with embedded subphases. We assume that the distance between the subphases (the local scale) is much smaller than the size of the domain (the global scale). We assume that at the local scale both the matrix and subphases can be described by Biot’s anisotropic, heterogeneous, compressible poroelasticity (i.e.

Hexagonal boron nitride and graphene layers offer an attractive way to build 2D heterostructures as their lattices are well-matched as well as they are isostructural and isoelectronic. In this work, the flexoelectric coefficients of monolayer boron nitride-graphene heterostructures (BGHs) are determined using molecular dynamics simulations with a Tersoff potential force field. This is achieved by imposing

A gradient continuous smoothed GFEM (SGFEM) is proposed to solve the heat transfer and thermoelasticity problem. The SGFEM is based on the idea of the PU method, whose composite shape function is composed of an element shape function and a local nodal shape function. The higher-order finite-element shape function is employed to ensure the continuity of the gradient between the elements. The local nodal

In this study, the solidification process of a compound droplet is numerically simulated by an axisymmetric front-tracking/finite difference technique. The compound droplet placed on a cold flat surface in a gas environment consists of an inner gas core surrounded by a concentric shell phase-change liquid that forms an outer droplet. The initial droplet shape assumed as a spherical cap is therefore

The growth and coalescence of microvoids nucleating in the second phase particles are the dominant mechanism of ductile fracture. The ductile fracture process is strongly influenced by the stress state. Based on a triaxiality dependent cohesive zone model, the ductile fracture process of zirconium alloys under different stress states is described in the present study. Under the condition of plane strain

This work is focused on understanding the impact of uncertainties on various input parameters on the lift production for a flapping-wing drone equipped with a vibratory-based actuation mechanism. Uncertainty and sensitivity analysis techniques are used to investigate output trends under various input distribution types and ranges to determine the critical parameters that should be considered during

Due to the excellent piezoelectric and ferroelectric properties of lead zirconate titanate (PZT), the buckled PZT ribbon-substrate structure has been widely used in the design of wearable electronic devices. However, wearable electronic devices must work in a complex vibration environment and are subjected to random excitations such as irregular human body motion. Hence, the reliability of the buckled

Double-roll compaction is a process to create extensible paper and paperboard suitable for replacing plastic in 3D forming applications. Understanding the macro- and micro-mechanisms governing the compaction process allows increasing the stretch potential while maintaining sufficient strength and bending stiffness. In this work, we approach the compaction process of paperboard with micro-mechanical

The present work is concerned with the temperature-rate-dependent theory of poro-thermoelasticity for anisotropic homogeneous medium and aims to establish the variational principle based on this theory for the fluid-saturated poro-thermoelastic medium. Here, the principle of virtual work is applied to derive the expressions for the generalized strain energy, Biot’s free energy, and the total work done

A thermomechanical model is developed to predict the temperature, degree of crystallization, residual stress, and strain in the selective laser sintering process for polymeric powder. Especially, a transient heat transfer model is used to calculate the temperature evolution. An elastic–viscoplastic model is developed to describe the temperature- and time-dependent stress–strain behavior of polymeric

This paper exposes full analytical solutions of a plane, quasi-static but large transformation of a Timoshenko beam. The problem is first re-formulated in the form of a Cauchy initial value problem where load (force and moment) is prescribed at one end and kinematics (translation, rotation) at the other one. With such formalism, solutions are explicit for any load and existence, and unicity and regularity

Lithiation and delithiation in electrodes lead to the evolution of internal stresses which may cause the mechanical degradation of batteries. In this work, the diffusion-induced stress of a hollow cylindrical electrode under either galvanostatic or potentiostatic charging is analytically solved based on a diffusion and mechanical coupled continuum model. The stress distributions at the end faces of

The fundamental problem of dislocations in incompatible isotropic strain gradient elasticity theory of Mindlin type, unsolved for more than half a century, is solved in this work. Incompatible strain gradient elasticity of Mindlin type is the generalization of Mindlin’s compatible strain gradient elasticity including plastic fields providing in this way a proper eigenstrain framework for the study

In this study, the optimal control problem for Cattaneo–Hristov heat diffusion, a partial differential equation including both fractional-order Caputo–Fabrizio and integer-order derivatives, is formulated for a rigid heat conductor with finite length. The state and control functions denoting temperature and heat source, respectively, are represented by eigenfunctions to eliminate the spatial coordinate

This paper develops an efficient reliability analysis method for composite structures with high-dimensional uncertain variables. The concept and mathematical definition of the approximate design point (ADP) and the approximate important direction (AID) are introduced. A fast calculation ADP/AID formula is proposed. A numerical line sampling (LS) strategy is devised, which is further combined with ADP/AID

Using an analytic approach, the critical velocity of chaos for an axially moving viscoelastic string under a noisy axial tension was studied in this paper. A Wiener process non-Gaussian bonded noise was selected to model the noisy fluctuations of axial force, and the Melnikov-based criterion was chosen to obtain the boundaries of chaotic behavior and consequently the critical velocity. The latter was

For a deeper understanding of the physical phenomenology of shock-induced panel flutter, a theoretical model for analyzing aeroelastic stability of flexible panels subjected to an oblique shock has been developed. The von Kármán large deflection plate theory is used to account for the geometrical nonlinearity, and local first-order piston theory is employed to predict unsteady aerodynamic loading in

In this work, mathematical models of physically nonlinear plates and beams made from multimodulus materials are constructed. Our considerations are based on the 3D deformation theory of plasticity, the von Mises plasticity criterion and the method of variable parameters of the theory of elasticity developed by Birger. The proposed theory and computational algorithm enable for solving problems of three

Based on Reddy’s third-order shear deformation theory and mixed formulation, a new numerical approach in the variational framework is developed to analyze the geometrically nonlinear free vibration behavior of cylindrical panels having cutouts with various shapes (e.g., square, circular, elliptical) under arbitrary boundary conditions. It is also assumed that the panel is made of functionally graded

In this paper, the nonlocal non-Fick diffusion elasticity theory is applied to study the propagation of Rayleigh-type surface waves along the stress-free surface of an isotropic diffusive elastic half-space. The equations governing the motion in an isotropic nonlocal non-Fick diffusion elastic medium are specialized for a plane. The appropriate surface wave solutions of the resulting two-dimensional

Thermal convection in a horizontally isotropic bi-disperse porous medium (BDPM) uniformly heated from below is analysed. The combined effects of uniform vertical rotation and Brinkman law on the stability of the steady state of the momentum equations in a BDPM are investigated. Linear and nonlinear stability analysis of the conduction solution is performed, and the coincidence between linear instability

In this paper, the propagation of transversally horizontal waves (SH) propagating in a piezoelectric plate is investigated. The dispersion curve is obtained numerically in the frequency domain by employing the power series technique (PST). In order to verify the sensitivity of the SH wave characteristics to different piezoelectric plate properties, the effect of each plate property is studied separately

A noncentral force is a prototypical example of nonconservative position dependent force, known as curl force; this terminology was first proposed by Berry and Shukla in [1]. In this paper, we extend the construction of a noncentral force on the Euclidean plane to constant curvature spaces. It is known that the angular momentum is not conserved in a noncentral setting; we take angular momentum and

This article describes the impacts of variable thermal conductivity and diffusivity on an infinite thermoelastic diffusion circular plate of finite width with a heat source due to axisymmetric thermal and chemical potential loadings in the light of two-temperature generalized thermoelastic diffusion theory. The thermal conductivity and diffusivity are assumed to be linear functions of thermodynamic

Size effect plays a major role in miniaturized thermoelectric devices. In this paper, a nonlinear contact model of a thermoelectric strip is established to reveal the thickness size effect. For the multi-field problem, the singular integral equations in terms of the normal electric current density, normal energy flux, and contact pressure are obtained and solved numerically with the collocation methods

This paper addresses the problem of stability of equilibria of mechanical systems in nonpotential force fields. In the linear approximation, any nonpotential force is uniquely represented as the sum of a potential force and a circulatory force. The instability of equilibrium is established for the nonlinear problem in the case when the linearized system has a pair of zero eigenvalues. The mechanism

Based on a boundary layer theory of shell buckling, the semi-analytical solutions for nonlinear stability analysis of anisotropic laminated composite doubly-curved shells with rectangular planform subjected to lateral pressure are derived. A new shell model of arbitrary constant curvature and fibre stacking sequences but constant thickness is developed. The governing equations are based on an extended

Drucker’s sixth-order yield function for isotropic materials (J Appl Mech 16:349–357, 1949) was extended by Cazacu and Barlat (Math Mech Solids 6:613–630, 2001) for modeling orthotropic sheet metals via a generalization of the two stress invariants according to the theory of representation. The constant c in the original Drucker’s isotropic yield function was found by Dodd and Naruse (Int J Mech Sci

This paper aims to propose a wavelet boundary element method (WBEM) to study the three-dimensional elasticity problem and potential problem. In contrast with conventional polynomial interpolation in the BEM, the scaling functions of the B-spline wavelet on the interval (BSWI) are applied to derive calculated formats of the WBEM, construct BSWI elements, discretize the geometric shape, and form BSWI

We study analytically, numerically, and experimentally the mechanical behavior of a fixed-angle bow, i.e., a slender rod with both ends rotationally fixed, where one end is completely constrained (orientation and displacements), while the other can be translated (only) along the line connecting the two ends of the bow. Understanding the behavior of fixed-angle bows is of importance and direct relevance

Thermodynamic dislocation theory incorporating dislocation impediment by the grain boundaries is developed to analyze the shear test of polycrystals. With a small set of physics-based material parameters, we are able to simulate the stress–strain curves for the load and its reversal, which are consistent with the experimental curves of Thuillier and Manach (Int J Plast 25:733–751, 2009). Representative

Funicular structures can resist a given load with pure axial forces and therefore tend to use material very efficiently. One main challenge in their design is form finding, which often requires advanced numerical methods. In this article, we show analytically that a very common family of curves, conics, is funicular for a particular load case: a uniform radial load emanating from a focus. The result

The problem of determining the dynamic response of a granular elastic half-space soil medium to a rectangular load moving on its surface is determined analytically. The granular material is modeled as a gradient elastic solid with two material constants in addition to the two classical elastic moduli. These material constants with dimensions of length are the micro-stiffness g and the micro-inertia

The effect of crystallography and elastic coefficient heterogeneity between a thin film and its substrate has been theoretically investigated on the shear-coupled grain boundary migration in the film. A drag force associated with the elastic energy has been determined by a disclination-based description of the grain boundary migration. Considering also the capillarity driving force derived from the

The present work is mainly stimulated by the definition of the general fractional-order derivative operator (GFODO) involving the Miller–Ross kernel in the sense of the Liouville–Sonine type. The novel emphasis is the introduction of the GFODO within the Miller–Ross kernel into the Maxwell model and Kelvin–Voigt model, thereby constructing viscoelastic constitutive models with the property of inheritance

The geometry description plays a central role in many engineering applications and directly influences the quality of the computer simulation results. The geometry of a space curve can be completely defined in terms of two parameters: the horizontal and vertical curvatures, or equivalently, the curve curvature and torsion. In this paper, distinction is made between the track angle and space-curve bank

The boundary value problem for forced rod vibrations is considered. The rod is assumed to be made of complex material incorporating oscillating inclusions. The equations of motion of the rod consist of two coupled PDEs one describing the carrying medium and the other describing the behavior of the oscillating inclusions. The resonant vibrations in the weakly nonlinear case are studied. Applying the

Piston theory is widely used in modeling unsteady aerodynamic loads. The piston theory exhibits different nonlinear characteristics under variant conditions. However, the theoretical study regarding the influence of these conditions only receives limited attention, impeding the accurate applications of piston theory in engineering practice. Based on previous researches, the current study theoretically

As the demand for lithium-ion batteries increases, a better understanding of the complex phenomena involved in their operation becomes crucial. In this work, we propose a coupled thermo-chemo-mechanical model for electrode particles of Li–ion batteries. To this end, we start with a general finite strain continuum framework for the coupled thermo-chemo-mechanical problem and then narrow it down to cathode

The article describes the simulation results of an unbalanced rotary machine with an automatic ball balancer with a deep chamber (ABB-DC) based on a mathematical model of such a system. The ABB chamber has a cylindrical shape and is filled with balls that can move freely in general motion. The model takes into account mutual collisions between the balls, as well as between the balls and the chamber

In railroad vehicle dynamics, the centrifugal inertia forces, often associated with curved tracks, are balanced by the lateral component of the gravity force by limiting the vehicle operation speed to the balance speed. This is achieved by the super-elevation of the track by the bank angle. When a vehicle negotiates a tangent (straight) track, on the other hand, the center of mass of the vehicle, as

An electrostatic bifurcation-based microcantilever sensor equipped with a tip plate is investigated for sensitivity. A closed-form expression for sensitivity of this type of sensors is approximated using the frequency-response equation of the cantilever. The expression relates the sensor sensitivity due to the added mass with its geometric and material properties. The formula shows that the sensitivity

Peridynamic governing equations of fluid mechanics for barotropic flow are developed. As a special case of such a flow, linearized acoustics is also considered. The peridynamic governing equation of acoustics is also developed and discussed in detail. In order to obtain these new peridynamic governing equations, integral operators called “peridynamic D operators” are developed systematically, which

This paper presents a non-classical refined shear deformation theory model in conjunction with the isogeometric analysis for the static bending, free vibration, and buckling behaviors of multilayered microplates. The modified couple stress theory is used to account for the small-scale effect. Taking a five-layer (Al, P3HT: PCBM, PEDOT: PSS, ITO, and Glass) organic solar cell as an example, it is found

In this paper, an instability analysis of three-dimensional (3D) beams supported with 3D hinges under axial and torsional loadings is presented in the large displacement and rotation regime. An exact displacement field is proposed based on the central line and orientation of the cross section consisting of nine parameters corresponding to 3D centroid movements and rotations. The Cauchy–Green deformation

The current study develops a 3D constitutive model for photo-thermal sensitive hydrogels based on free energy decomposition. The hydrogel under study is PNIPAM network with copper chlorophyllin nanoparticle agents attached to the network. The effect of light intensity is considered as a rise in temperature since chlorophyllin nanoparticle agents absorb light irradiation and convert it to heat. Moreover

To gain a complete view on the unique spatial attenuation phenomenon arising from the periodicity and the material viscoelasticity of the two-dimensional phononic crystals with finite out-of-plane extension, this paper presents a theoretical study of the viscoelastic phononic crystal slabs to investigate the wave transmission characteristics in terms of the dispersion relations for the propagating

A novel yet simple method is proposed to derive an analytical solution to the interaction problem of a screw dislocation inside an elastic inhomogeneity of arbitrary shape partially penetrated by a semi-infinite crack. The two analytic functions characterizing the elastic fields of stresses and displacement in the two-phase composite are readily obtained. Furthermore, we derive explicit expressions

The paper proposes an efficient sequential edge-smoothed finite element (ES-FE) analysis method enhanced with the smoothed recovery stress field to determine the collapse load limit of inelastic structures. The approach applies a modified concept of elastic compensation algorithm developed within the computationally advantageous ES-FE modelling framework and recovery stress field enhancement. It solely

Dynamic analysis of bidirectional functionally graded sandwich beams under a moving mass with the effect of partial support by a Pasternak foundation is presented on the basis of a quasi-3D theory. The face layers of the sandwich beams are made of bidirectional functionally graded material (FGM), while the core is axially FGM. The material properties of the skin layers are varied smoothly in both the

The flutter of a thin flexible plate in uniform flow is an interesting theoretical problem in fluid–structure interaction phenomena, as well as an important engineering problem. Therefore, understanding of the instability mechanism is crucial to preventing fatal defects caused by the flutter. In this study, the instability mechanism of a flexible plate in three-dimensional uniform flow is investigated

In this paper, a systematic approach is presented to obtain the stress fields in a linear elastic body where a spherical inclusion surrounded by a spherical annulus is embedded in an unbounded matrix phase. The entire body is subject to far-field uniform strain. A formulation is carried out for the hydrostatic part and the deviatoric part of the far field strain separately. The obtained formula for

An analytical model for a two-layer Timoshenko beam with a compliant interface is presented. A family of closed-form solutions is given for several cases of contact conditions at the interface that can include or exclude interlayer slip and relative rotations of the layers’ cross sections (distortion), with particular attention devoted to the latter. Each kinematic field at the interface is related