To account for the nonlinear dynamic effects of flexible sandwich plates undergoing large deformation, a computational method for dynamic analysis of flexible sandwich plates is studied. According to the characteristics of sandwich plates, a simplified plate model is proposed based on the Kirchhoff plate theory, in which the shear stiffness of the core plate is neglected and the stiffness for the whole

A general methodology for the dynamic modeling and analysis of planar flexible deployable structures consisting of scissor-like elements (SLEs) is presented. This modeling method is based on a comprehensive consideration of the symmetry and array characteristics of deployable structure and on an improved absolute node coordinate formulation (ANCF), which can model the warping of beam section using

This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational

Microcrack propagation in asphalt mixtures leads to macroscopic cracks in pavement. It is necessary to study crack evolution from the perspective of micromechanics to precisely predict structural damage. This paper developed a micromechanical model of three-point bending under a bending fatigue load for a bitumen specimen that was a three-phase asphalt mixture composed of coarse aggregate, asphalt

Tribological behaviour is characterized by the strong nonlinear effects in its response, which are hardly identified with standard signal processing methods. One of the challenges in the analysis of wear phenomena is identification of its propagation and potential quantification. In our study, we propose application of wavelet-based methods, i.e. continuous wavelet transform and scale index for analysis

In this study, the buckling analysis of moderately thick porous micro-plate is investigated to predict instability of the micro-plate using strain gradient theory and two-variable refined plate theory termed two-variable strain gradient theory (TV-SGT). The governing equations and new boundary conditions are achieved. Also, the Navier solution technique is utilized to obtain analytical solutions for

The natural convection resultant from the uniform circular rotation of the paddle wheel in a cross-shaped porous cavity filled by \(\hbox {Al}_{2}\hbox {O}_{3}{-}\hbox {H}_{2}\hbox {O}\) was simulated by the ISPH method. A cross-shaped cavity’s two vertical area is saturated with a homogeneous porous medium, whereas the entire horizontal area is saturated with a heterogeneous porous medium. The paddle

A theoretical formula for calculating the global shear buckling strength of curved corrugated steel webs (CSWs) under simply support conditions was derived. Their geometric parameters, namely the corrugation depth-to-web thickness ratio, web slenderness, and radius of curvature, which influence the elastic shear buckling strength, were also assessed. The computational error of the formula for the shear

Structures that are difficult to maintain and access need to have an efficient and robust process for continuous monitoring. Such monitoring through damage detection and identification studies is present in several engineering applications as it allows that corrective measures be applied in order to guarantee the structural safety of a given structure, machine or equipment. In particular, laminated

In this paper, a mathematical procedure is elaborated based on large deformation, finite element and perturbation methods for thermo-large amplitude analysis of anisotropic laminated and sandwich FGM plates with temperature-dependent properties. Nonlinear thermal dependence distribution following a power law is adapted. Various types of multilayered composite plates with position and temperature-dependent

This work is concerned with the reflection and transmission of quasi-longitudinal displacement wave incident at an imperfect interface between two nonlocal orthotropic micropolar half-spaces. The linear spring model is used to describe the imperfection of bonding behavior at the interface. Reflection, transmission coefficients and energy ratios of waves have been derived analytically for when a longitudinal

A numerical wave tank (NWT) is developed by employing the local radial point interpolation collocation method, mixed Eulerian–Lagrangian approach, and the fourth-order Runge–Kutta method. The potential theory is used for a mathematical explanation of the wave-propagation problem. The Laplace equation in the Eulerian manner and the free surface conditions in the Lagrangian manner are used to simulate

The effectiveness of the series tuned mass dampers (STMDs) in reducing the dynamic vibrations of the structures under the ground motion is investigated, and their optimum parameters are obtained based on the simulated annealing (SA) optimization. The STMD is one of the most well-known passive control devices which consists of two TMD units arranged in series. However, only a few studies are available

Herein, we examined the impact of Brownian motion and thermophoresis on MHD stagnation-point nanofluid flow toward vertical stretching surface using the non-Newtonian Prandtl fluid model. The governing mathematical model consists of a set of nonlinear partial differential equations along with associated boundary conditions. The similarity conversion technique is adopted to convert them to nonlinear

In this paper, energy harvesting from a thin annular sectorial plate, which consists of an elastic layer bonded with two layers of piezoelectric materials, is studied analytically. The Rayleigh damping assumption is used in the model to consider the structural damping. To derive the governing equations, the Hamilton principle for an electro-elastic body is employed based on the classical plate theory

In this paper, a numerical investigation MHD squeezing flow between two parallel plates is presented. A method of stable approximation based on Gaussian Hilbert–Schmidt SVD (HS-SVD) is used. In the HS-SVD approach, by eliminating a significant portion of the ill-conditioning, an alternate basis for data-dependent subspace of “native” Hilbert space is obtained. The well-conditioning linear system is

In this paper, the two-dimensional nano-contact problem with the surface effect is systematically investigated based on Chen–Yao’s surface elastic theory. The Fourier integral transform method is adopted to derive the contact stress and displacement fields of a half-space subjected to a normal triangle distribution force. The theoretical result shows that the surface energy density of the indented

Most newly proposed explicit time integration methods may have one or more of such problems as unexpected stability limits, accuracy order loss for damped systems and unsatisfactory computational accuracy for the case of zero initial conditions and initial external load. For addressing these problems, a three-stage explicit time integration method is proposed in this paper. The proposed method is second-order

The damage of materials is the progressive or unexpected deterioration of mechanical strength because of loadings, thermal or chemical effects. The micromechanical damage process of ductile materials is generally studied by the continuum damage mechanics (CDM). One of the most well-known damage models is the Lemaitre’s ductile damage criterion. This model only requires one material-dependent parameter

Bio-particles are usually considered as an elastic material, while it has been proven that these particles such as viruses and cells behave more like viscoelastic materials because of the liquid cytoplasm in cells and also the protein capsid around viruses; thus, this property is not ignorable because it leads to a non-precise prediction in simulations. On the other hand, the surface of these particles

Wood materials are characterized by complex, hierarchical material structures spanning across various length scales. The present work aims at establishing a relation between the hygro-elastic properties at the mesoscopic cellular level and the effective material response at the macroscopic level, both for softwood (spruce) and hardwood (balsa). The particular aim is to explore the influence on the

This work touches upon the dynamical motion of a symmetric rigid body around a principal axis. It is assumed that the body has a cavity of spherical form filled with a viscous liquid and a movable mass connected with double elastically with a point lying on the axis of dynamical symmetry that exerts a viscous friction. This body is acted upon by a gyrostatic moment, in which the first two components

In this work, application of trigonometric shear deformation theory (TSDT) with the Navier’s solution technique is explored to determine the static, free vibration and corresponding mode shape of carbon nanotubes (CNTs)-reinforced sandwich plates for different stacking sequences with different material properties. In the TSDT, the distribution of the displacement is nonlinear along the thickness of

The growth and treatment of tumors is an important problem to society that involves the manifestation of cellular phenomena at length scales on the order of centimeters. Continuum mechanical approaches are being increasingly used to model tumors at the largest length scales of concern. The issue of how to best connect such descriptions to smaller-scale descriptions remains open. We formulate a framework

The analytical and numerical analysis on the transient displacement and stress fields subjected to the electric load \(E_{z}\) and \(E_{r}\) in the electrostrictive hollow cylinder are studied in this paper. The electric and stress fields are uncoupled to derive the analytical solutions first. Then, the discussed displacement is decomposed into a quasi-static solution which satisfies inhomogeneous

The local strain approach (LSA) is an established concept to calculate the fatigue life of mechanical components for failure criterion crack initiation in several fields of engineering. In an elastic static finite element simulation, the critical stress state is detected and forms the basis for an elastic–plastic fatigue calculation with the LSA in a post-processing routine. This paper introduces extension

A new type of prefabricated abutment with a weak connection is proposed. The longitudinal load (like banking force, earth pressure) distribution of this new type of prefabricated abutment was analyzed based on the hinge-joined slab method. A simplified method for calculating the stiffness parameters of the panels was introduced. The influence lines of the longitudinal load on the prefabricated abutment

The present work is a pioneering study on the contact mechanics including Pasternak foundation model. The context of this research is frictionless plane contact problem between a rigid punch and a functionally graded orthotropic layer lying on a Pasternak foundation in the limits of the linear elasticity theory. The layer is pressed by rigid cylindrical or flat punches that apply a concentrated force

Transport of solute across the arterial wall is a process driven by both convection and diffusion. In disease, the elastic fibers in the arterial wall are disrupted and lead to altered fluid and mass transport kinetics. A computational mixture model was used to numerically match previously published data of fluid and solute permeation experiments in groups of mouse arteries with genetic (knockout of

Viscoelasticity is a natural property of biological tissue that is often used as a diagnostic parameter of cancer diagnosis. Recently, it was discovered that the fractional calculus accurately describes the experimental effects of viscoelastic materials. In this work, the model of the thermo-viscoelasticity theory of fractional dual-phase-lag heat conduction law with rheological properties of the volume

This paper presents the random free vibration response of laminated composite and sandwich plates using inverse hyperbolic zigzag theory. Recently developed inverse hyperbolic zigzag plate model by authors satisfies the inter-laminar continuity of transverse shear stresses at layer interfaces. The uncertainties induced in the system parameters are accounted by employing first-order perturbation technique

The current study investigates the peristaltic transport of an incompressible micropolar non—Newtonian nanofluid following the Sutterby model. The heat and mass transfer inside the two-dimensional symmetric vertical channel is considered. The system is affected by a strong magnetic field together with thermal radiation, couple stress, chemical reaction, Joule heating, heat generation, Dufour, Soret

A two-degree-of-freedom model for a two-beam structure with nonlinear joints is presented and used to investigate the nonlinear responses of the system to a primary resonance of its first two modes in the presence of three-to-one internal resonance. By using the equilibrium conditions between the beams and the joints, the joint dynamic characteristics included linear and nonlinear torsional stiffness

For the exact solution of the stress in the functionally graded (FG) cylindrical/spherical pressure vessel, this paper presents a unified form of the basic equations of the FG hollow cylinder/spherical shell by introducing parameter, and then, the axial/spherical symmetry mechanical problems of FG hollow shells are studied under three different boundary conditions, respectively. Assume that the Young's

In this work a novel integral higher shear deformation theory (HSDT) which introducing the transverse shear effect is developed for thermoelastic bending analysis of Titanium/Zirconia power-law functionally graded (P-FG) sandwich plates. This integral theory contains only four variable functions as against five in the case of other HSDTs. The proposed model has a reduced number of equations and satisfies

Here, we examine the exciting forces for an arrangement of two coaxial vertical cylinders—a riding porous cylinder and a submerged bottom-mounted solid rigid cylinder. We take up two cases: first we consider a hollow porous cylinder at the top and secondly a solid porous cylinder at the top, and for both the cases, there is a solid rigid cylinder placed at the bottom. The present configuration may

In this study, the mechanical model of the circumferentially distributed rods and the nonlinear contact stiffness matrix which characterizes the contact effect between the disks are established. The contact stiffness matrix is composed of seven stiffness coefficients that characterize the lateral stiffness, shear stiffness, bending stiffness, and torsional stiffness of the contact interface. Then the

The paper deals with the analysis of hyperbolicity of the dynamic equations for plastic solids, including one-phase solids and porous fluid-saturated solids with zero and nonzero permeability. Hyperbolicity defined as diagonalizability of the matrix of the system is necessary for the boundary value problems to be well posed. The difference between the system of equations for a plastic solid and the

The properties of fiber composites change with increasing the temperature, which generates the different thermal stresses and thermal expansion coefficients for fiber and matrix. The existence of a force makes the fiber and matrix maintain a bonding state in the process of expansion, and this force is fundamental for the equation of stress and strain. For a flexible substrate, the shear stress of matrix

Dynamic responses around cylindrical inclusion in inhomogeneous medium are discussed. A mathematical model of inhomogeneous half space is established. The shear modulus of the medium is assumed to change in two dimensions. Based on complex function theory, the governing equations are derived. Meanwhile, the auxiliary function is introduced. By solving the governing equation, the analytical expressions

A theoretical study on the pulsatile flow of Sutterby nanofluid in an inclined porous tapered arterial stenosis under the simultaneous impact of electro-osmotic , magnetohydrodynamic and periodic body forces with slip effect at the arterial wall is presented. Gold (Au) nanoparticles with various shapes (spheres, bricks, cylinders, platelets and blades) are utilized in the analysis. Poisson–Boltzmann

To investigate the size effect in thermal buckling behaviors of micro-beams, a new size-dependent thermal buckling model based on modified gradient elasticity is presented. The governing equation and boundary conditions of the model are derived by applying the variation principle. Numerical examples of different supported beams are solved. The critical buckling temperature rises and normalized deflection

The mechanical properties and the operating life of a formed component are highly dependent on the residual stress state. There is always a high magnitude of residual stresses in the components formed by incremental sheet forming (ISF) due to the localized deformation mechanism. Hence, a thorough understanding of the generation of the residual stresses by ISF is necessary. This study investigates the

This article aims to examine the thermoelastic problem for a medium with nonhomogeneous material properties within a finite-length elliptical plate. An analytical method is established under the assumption that the thermomechanical material inhomogeneity obeys the product form of power and exponential functions through the plate's thickness. At the same time, calorific capacity and Poisson's ratio

In this paper, for the first time, the deep learning technique of the artificial neural network method is used to determine the free vibration parameters of the rectangular bistable composite plates. For this purpose, first, the static and free vibration behaviours of a cross-ply bistable composite plate are studied using analytical, finite element and experimental methods. By comparing them, it is

In this article, thermoelastic interaction in a two-temperature generalized thermoelastic unbounded isotropic medium having spherical cavity has been studied in the context of memory-dependent derivative (MDD). The governing coupled equations for the problem associated with kernel function and time delays are considered in the perspective of two-temperature (2 T) three-phase-lag thermoelasticity theory

This paper aims to develop semi-analytical results of the poromechanical fields in a hollow cylinder subjected to an asymmetric loading condition. The poroelastic properties of the hollow cylinder vary in the radial direction. The heterogeneous hollow cylinder is approximated by a multilayer structure in which each cylindrical layer is assumed to be homogeneous. The analytical results of the poromechanical

The organic solar cell has attracted much interest due to its high power conversion efficiency and low cost. This paper studies the interlaminar stresses between the working layer and the substrate of the organic solar cell. The effects of solar irradiation and wind speed have been considered as well. The multilayered film model and the thin film–substrate model are employed separately in reaction

Four differing from each other scenarios of evolution of the plane and close to them cylindrical solitary (simple) waves are established and commented. The material of propagation of waves is assumed to be elastic, the nonlinear deformation of which is described by the five-constant Murnaghan model (potential). The initial wave profile is given by the cosinusoidal, Gauss, Whittaker, Macdonald functions

This article presents a non-Fourier thermo-hyperelastic model to investigate thermal and stress wave propagation phenomenon in a near-incompressible functionally graded medium (FGM) for various thermal and mechanical boundary conditions. A strain energy function is chosen to modify FGM’s hyperelastic equations considering the coupling effects of mechanical and thermal terms. By switching the strain

Cold extruded components are characterized by residual stresses, which originate from the experienced manufacturing process. For industrial applications, reproducibility and homogeneity of the final components are key aspects for an optimized quality control. Although striving to obtain identical deformation and surface conditions, fluctuation in the manufacturing parameters and contact shear conditions

The residual stress distribution in extruded components and wires after a conventional forming process is frequently unfavourable for subsequent processes, such as bending operations. High tensile residual stresses typically occur near the surface of the wire and thus limit further processability of the material. Additional heat treatment operations or shot peening are often inserted to influence the

In this study, the hydrodynamics of the negatively buoyant supersonic steam jet injected into the water has been investigated based on the effects imparted by its density difference with the water in free and confined configurations. In case of both the upward and downward steam’s free injection, the steam jet-water flow has shown a clear deviation from the non-dimensionalized Boussinesq character

Finite element (FE) modeling plays a well-established and increasingly significant role in analyses of articular cartilage at the organ, tissue, and cell scales: for example understanding the functional relationships among constituents, microstructure, and tissue function in diarthrodial joints. A constitutive model, the crux of an accurate FE model, formalizes the functional dependencies among physical

The elastic post-buckling behavior of thin plates covers a relatively vast region in which geometry nonlinearity (large deflection) and material linearity (Hooke's low) are realized. In this region, a thin rectangular plate has constant stiffnesses in both orthogonal directions. Few simplified analysis guidelines have been analytically represented for in-plane stiffnesses of an elastic post-buckled

We study the effects of an applied magnetic field on mobile charges in a composite beam of piezoelectric semiconductor and piezomagnetic layers. The macroscopic theory of piezoelectrics/piezomagnetics and the drift–diffusion theory of semiconductors are used. A one-dimensional model for beam bending is derived. An analytical solution is obtained, showing that bending and axial polarization develops

In the paper, the solution for square notch problem with small round corners in plane elasticity under remote loading is studied. Based on the two obtained particular solutions and the extrapolation technique, the general relation between the stress concentration and the small radius at the corner point is obtainable. It is emphasized here that this relation can be used to the arbitrary small radius

In this paper, propagation of surface waves in nonlocal transversely isotropic liquid-saturated porous solid half-space has been investigated. The model is proposed for two different situations of which one is for excluding fluid nonlocal effect, and the other is for including fluid nonlocal effect. The existence of a new wave that arises due to the presence of nonlocality parameter in the medium as

Previous studies were concerned with transverse vibrations of axially moving nanowires; however, their statics as well as lateral and transverse vibrations and potential instabilities for the most general form of the translational motion in the presence of axially, laterally, and transversely distributed and pointed loads have not been explained yet. To scrutinize this interesting problem simply, but