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

Many plant tissues exhibit the property of frost resistance. This is mainly due to two factors: one is related to metabolic effects, while the other stems from structural properties of plants leading to dehydration of their cells. The present contribution aims at assessing the impact of ice formation on frost-resistant plant tissues with a focus on structural properties specifically applied to Equisetum

When the dimension of a structure falls to the micro-/nanoscale, surface effect is significant and plays a key role in affecting the mechanical behavior. This article studies the influence of surface elasticity on the stress intensity factor of an antiplane shear crack embedded in an elastic strip made of functionally graded materials. Surface elasticity is applied on the strip surfaces and crack faces

The moduli and loss factors of viscoelastic materials are frequency-dependent, which brings difficulty to solve the eigenvalue problems. In this note, an estimation method for resonance frequencies and loss factors of viscoelastic composite structures from reduced order models is presented. The reduced order model could be constructed from calculated or measured forced vibration data, and there is

This paper presents a generalized constrained differential quadrature method to investigate the elastoplastic dynamic response and ultimate bearing capacity of beam-plate coupled structures under uniaxial compression, compression-bending and compression–shear loadings, considering the interaction between plates and beams. A beam-plate coupled structure is divided into some plate elements, considering

Due to the high surface-to-bulk ratio, the classical continuum theory cannot accurately describe the mechanical behavior of the nanoscale structures. In this research, based on Gurtin–Murdoch surface stress theory and Kirchhoff plate model, a novel size-dependent formulation is presented for buckling and post-buckling behavior of thin symmetric porous nano-plates embedded into an elastic substrate

The full-scale bounds estimation for 2-D bi-modular problem with interval uncertain constitutive parameters is realized by means of sensitivity analysis. An efficient FE model is presented to solve the deterministic 2-D bi-modular problem by complementing a shear modulus identical with the coaxial condition required by the constitutive relationship, and the equations to calculate both the first- and

In this paper, the stress field at the crack-tip of a semi-infinite crack interacting with an isotropic dilatational inclusion is studied. The fundamental solution for a semi-infinite crack interacting with an eigenstrained point is presented first. By employing it as Green’s function, a crack enclosed by a homogenous inclusion is formulated and its Kolosov–Muskhelishvili complex potentials are obtained

The study deals with a possibility to formulate the complex fluid–structure interaction problem of noise generation due to the unsteady flow in corrugated pipes by phenomenological formulation. Although the details of fluid dynamics are not accessible this way, the computational framework is much less demanding and the key features are still present. The van der Pol-like equations serve as a model

Parametric study and stability analysis on nonlinear traveling wave vibrations of rotating thin cylindrical shells with simply supported boundary conditions are carried out in the paper. Considering the Coriolis forces as well as the initial hoop tension due to rotation, an infinite-dimensional gyro system model with nonlinearity is established by using Lagrange equations. Based on this model, convergence

Particle dampers are passive attenuating mechanisms of vibration, where small-sized particles (less than 1 mm in diameter) are introduced into the structure to dissipate energy by shock and friction. For that, we must have enough space in the cavity for the particles to move, which usually requires large cavities in relation to the size of the particles. In this work, the idea is to reduce the volume

Austenite–ferrite duplex steels generally consist of two differently textured polycrystalline phases with different glide mechanisms. For estimating the effective mechanical behavior of heterogeneous materials, there exist well established approaches, two of which are the classes of mean-field and full-field methods. In this work, the local fields resulting from these different approaches are compared

This paper takes an asymmetric support ball bearing-rotor system subjected by unbalanced force and parametric excitation (varying compliance) as the research object. Multi-modes of resonance such as natural frequency resonance region of each order, VC (varying compliance) frequency resonance region, the 1/2 sub-harmonic VC frequency resonance region, and quasi-periodic regions, and the nonlinear characteristics

In this contribution, the two-scale analysis of residual stress states in a hot bulk formed part with subsequent cooling in the framework of the \(\hbox {FE}^2\)-method is presented. The induction of specific residual stress states in order to improve a component’s properties is an area of current research. In general, residual stresses can be induced inside a component in different ways, e.g., quenching

For the fatigue life of thin-walled components, not only fatigue crack initiation, but also crack growth is decisive. The phase-field method for fracture is a powerful tool to simulate arbitrary crack phenomena. Recently, it has been applied to fatigue fracture. Those models pose an alternative to classical fracture-mechanical approaches for fatigue life estimation. In the first part of this paper

The aim of this work is to generate an advantageous compressive residual stress distribution in the surface area of hot-formed components by intelligent process control with tailored cooling. Adapted cooling is achieved by partial or temporal instationary exposure of the specimens to a water–air spray. In this way, macroscopic effects such as local plastification caused by inhomogeneous strains due

This paper presents and validates a novel approach to designing an active controller for a small-scale experimental structure subjected to the action of multiple moving loads. Many of the numerically validated active control methods presented in the literature assume that the synthesised control solution can be applied directly to the structure. When a real structure is investigated, the closed-loop

Buckling of a column under pre-load restraint has been found to differ from the conventional bifurcation problems and thus requires better understanding. To this end, a simple model consisting of two collinear rigid bars connected by a rotational spring, resting on a smooth surface, loaded by an axial force and restrained by a constant force at the common joint is investigated. The energy method is

This article is concerned with the propagation of guided type-Lamb waves in a magneto-electro-elastic composite plate. As a numerical method, the ordinary differential equation with the Thomson Haskell parameterization of Stroh formalism is employed to determine the wave characteristics in the composite plate by imposing the traction-free boundary condition on the top and bottom surfaces. Multiple

Process-induced residual stresses significantly influence the mechanical properties of a formed component. A polymer pad is used as a flexible die in two-point incremental forming to induce compressive residual stresses in the component during the forming process. Experimental and numerical results illustrate the influence of compressive stress superposition on the component properties. It is shown

This analytical note shall provide a contribution to the understanding of general principles in the Mechanics of (symmetric circular) masonry arches. Within a mainstream of previous research work by the authors (and competent framing in the dedicated literature), devoted to investigate the classical structural optimization problem leading to the least-thickness condition under self-weight (“Couplet-Heyman

The resulting shapes in production processes of metal components are strongly influenced by deformation induced residual stresses. Dual-phase steels are commonly used for industrial application of, e.g., forged or deep-drawn structural parts. This is due to their ability to handle high plastic deformations, while retaining desired stiffness for the products. In order to influence the resulting shape

Silicon (Si) is extensively used as an electrode in lithium (Li) ion batteries for its superiority in the charging capacity. However, the lithiation of Si would induce large deformation and significant stress jump across a two-phase interface in Si electrodes and might eventually lead to structure failure of batteries. To improve the performance and life of Li ion batteries, it is of great importance

Before formula (1) (and, then, after formula (2)), symbol “G” should be read as “Γ”: the rigid body’s density.

In this paper, the dynamic response of an infinite periodic viaduct (IPV) subjected to an moving mass and harmonic seismic waves simultaneously is studied using Fourier transform method and finite element method (FEM). According to the periodicity of the IPV, the mass–viaduct contact force (MVCF) is expanded into Fourier series, each of which represents a moving load component of the MVCF. The response

Targeted magnetic flux guidance in the rotor cross section of rotational electrical machines is crucial for the machine’s efficiency. Cutouts in the electrical steel sheets are integrated in the rotor sheets for magnetic flux guidance. These cutouts create thin structures in the rotor sheets which limit the maximum achievable rotational speed under centrifugal forces and the maximum energy density

In the present work, the quality factor (and thermoelastic damping) of a microbeam resonator is analyzed by employing the three-phase-lag thermoelasticity theory with memory-dependent derivative. We compare our results with different heat conduction models. An explicit formula of thermoelastic damping has been derived, and effects of the normalized frequency and the beam height on thermoelastic damping

An holistic view is attempted towards prediction of the effect of residual stresses induced by full-forward extrusion on fatigue life of workpieces during operation. To study the effect of constitutive model on the accuracy of forming simulations, a combined nonlinear isotropic/kinematic hardening model as well as the isotropic hardening part of the same model are calibrated based on five compress

We study how and to what extent the existence of non-local diffusion affects the transport of chemical species in a composite medium. For our purposes, we prescribe the mass flux to obey a two-scale, non-local constitutive law featuring derivatives of fractional order, and we employ the asymptotic homogenisation technique to obtain an overall description of the species’ evolution. As a result, the

Previous studies showed that the dynamic equations for a porous fluid-saturated solid may lose hyperbolicity and thus render the boundary-value problem ill-posed while the equations for the same but dry solid remain hyperbolic. This paper presents sufficient conditions for hyperbolicity in both dry and saturated states. Fluid-saturated solids are described by two different systems of equations depending

Bistable metal sheets with a coiled transport geometry and an unfolded profile as second stable state, are of great interest as lightweight components. It is well known that a specific distribution of residual stresses is necessary to enable bistable properties. With the help of numerical FE models, the optimal process parameters for production of such sheets are evaluated. Afterwards, incremental

In this study, a new closed-form solution for transverse free vibration analysis of laminated composite beams (LCBs) with arbitrary number of concentrated masses is developed. The LCB is modeled based on the Euler–Bernoulli beam theory and concentrated masses are simulated considering Dirac delta function. Obtained governing equations are, then, solved semianalytically, while the frequency equation

Additionally to the achievable tight geometrical tolerances, rotary swaging can influence intrinsic material properties by work hardening and residual stresses generation. Although residual stresses should be usually avoided, they can be used on purpose to improve the performance properties of a produced part. To find prospective process settings, 2D FEM simulation of the rotary swaging process was

This paper, respectively, considers the nonlinear contact and Coulomb friction between rollers and rails, the characteristics of a hydraulic cylinder, and the contact characteristics between sleepers and ballast. The models of hydraulic cylinders are employed to realize the characteristics of hydraulic circuits and clamping forces. And the effects of the Coulomb friction between the track roller and

This article presents a novel system identification method for the dynamic parametrical model of the rotor-bearing system based on the Nonlinear Auto-Regressive with exogenous inputs (NARX) model, where the physical parameter of the system appears as coefficients in the model. Customarily, the NARX model-based modeling techniques require random signals as input, which leads to the rotor-bearing system

The fatigue characteristics of rock materials are usually studied by cyclic load–unload tests, and the deformation and damage development reflect their weakening characteristics. In this paper, according to the mechanical characteristics of rock materials during load/unload cycles, the total strain can be separated into three types, that is, elastic strain, viscoelastic strain, and viscoplastic strain

The manufacturing of case-hardened gears usually consists of several complex and expensive steps to ensure high load carrying capacity. The load carrying capacity for the main fatigue failure modes pitting and tooth root breakage can be increased significantly by increasing the near surface compressive residual stresses. In earlier publications, different shear cutting techniques, the near-net-shape-blanking

Depleted uranium (DU) is a metal of very high mass density and, other than a few specialized uses, is treated as a waste product of the uranium enrichment process. To take advantage of its high mass density, we propose a novel application of this metal in elastic/seismic metamaterials. Such use can not only broaden the range of design possibilities for elastic metamaterials but can also give more meaning

The family of bulk forming technologies comprises processes characterised by a complex three-dimensional stress and strain state. Besides shape and material properties, also residual stresses are modified during a bulk metal forming process. The state of residual stresses affects important properties, like fatigue behaviour and corrosion resistance. An adjustment of the residual stresses is possible

The problem of modeling for the linear structure with nonlinear boundary conditions in a more efficient manner is considered by proposing a novel condensation modeling method. The key idea of the proposed method is to reduce the overall number of degrees-of-freedom (DOFs) for the nonlinear jointed structure being analyzed, which can be implemented in the following two steps. Firstly, linear DOFs of

Computational hemodynamic (CHD) is an engineering tool and a good approach that helped many physicians to obtain much information about the situation of the patient in a lot of diseases like cardiovascular disease, even surgery, etc. The dispersion of blood cells in the plasma is heterogeneous. Therefore, the blood fluid is a multi-phase mixture of non-Newtonian fluid. Numerical calculation of non-Newtonian

We study fluid-saturated porous materials that undergo poro-elastic deformations in thin domains. The mechanics in such materials are described using a biphasic model based on the theory of porous media (TPM) and consisting of a system of differential equations for material’s displacement and fluid’s pressure. These equations are in general strongly coupled and nonlinear, such that exact solutions

This paper deals with the effects of the interval and probability uncertain parameters imposed on the process of unbalance parameters identification from our previous paper (Mao et al. in: Shock Vib 2016:1–9, 2016) in Shock and Vibration. After employing uncertain parameters, we proposed the unbalance parameters identification method, and compared the results with those of previous studies.

Multi-span composite lattice sandwich beams have wide application prospects in the aerospace, high-speed trains and civil engineering fields because of the low specific weight, high specific strength and multifunctional potential. Moreover, the span number and the subspan length have a great influence on the vibration and thermal buckling properties of multi-span beams. Therefore, a simple and effective