Torsion of an elastic half-space with a vertical cylindrical cavity by a coaxial punch bonded to a flat boundary and rotated under action of the torque about the axis is considered in this article by employing Weber–Orr integral transforms. We suggest two novel methods reducing the problem to the regular integral equations of the second kind, which are effective for different intervals of geometric

Crystalline metals are typically coated with materials such as natural oxides for engineering applications, wherein the coating surface has nanoscale roughness. Although the nanoscale asperities of material surfaces typically play a key role in the evolution of surface plasticity under contact loading, the dislocation activities interplaying with a nano-asperity coating and the resulting non-trivial

This paper experimentally and numerically investigates the nonlinear vibrations and dynamic snap-through behaviors of the bistable asymmetric carbon fiber-reinforced [90n/0n] composite laminated shallow shell. In the experimental research, in order to produce the dynamic snap-through phenomena, the center of a bistable asymmetric composite laminated shallow shell is clamped on an electromechanical

In this paper, we present polynomial varying modified polarization saturation models for semipermeable two unequal collinear cracks with coalesced interior zones in piezoelectric media. Under the influence of far-field electromechanical loadings, the cracks situated in an infinite arbitrary polarized piezoelectric media are opened in self-similar manner, forming a strip saturated zone in front of the

In this contribution, the use of discrete simulations to formulate an anisotropic damage model is investigated. It is proposed to use a beam–particle model to perform numerical characterization tests. Indeed, this discrete model explicitly describes cracking by allowing displacement discontinuities and thus capture crack induced anisotropy of quasi-brittle materials such as concrete. Through 2D discrete

The impact resistance of single curvature semi-cylindrical shell targets of aluminum 1100-H12 was explored against hard steel cylindrical projectiles. Experimental as well as numerical investigations were carried out to observe the performance of shell targets against ogive, conical, blunt and hemispherical nosed projectiles. Effect of oblique impact was studied on the ballistic performance of the

Thermoelastic vibration of micro and nano-beam resonators is described by the Euler-Bernoulli beam theory in context with two-temperature generalized thermoelasticity theory. The amplitude of deflection and thermal moment in the case of simply supported and the isothermal beam are obtained by the Laplace transform method along with the finite Fourier sine transform method and the vibration frequency

In the present paper a mathematical model able to reproduce the mechanical response of a shape memory alloy (SMA) helical spring is presented. The proposed model is based on a simplified but effective theory of the helix that assumes small strains and large displacements. The kinematics of the helix and the related generalized strain measures are introduced, with stress resultants conjugated to them

Several beam and plate models have been recently developed in the literature to accommodate for size-dependence. These are usually obtained starting from a generalized continuum theory (such as the couple-stress, strain-gradient or non-local theory or their modifications) and then deducing the governing equations through Hamilton’s principle and ingenuous kinematical assumptions. This approach, originated

This study presents an efficient beam formulation for static and vibration analysis of 2D non-prismatic beams with the kinematic assumptions of the Timoshenko beam theory. Beams having complex configurations can be straightforwardly constructed by using B-spline basis functions, which are used for descriptions of the beam axis and the sectional height. This feature enables analysis of free-form non-prismatic

A frictional receding contact problem of a infinitely long layer pressed by different finite pressure distributions onto a half-plane of the same linear elastic material is solved with the distributed dislocation technique. Solutions are obtained for when the layer is subject to three different pressure distributions: finite patch of constant pressure, square-root bounded (Hertzian) pressure and square-root

A finite element analysis of intergranular normal stresses is performed in order to identify a possible statistical correlation between the intergranular normal stresses and the corresponding grain boundary type within a polycrystalline aggregate. Elastic continuum grains of cubic lattice symmetry are assumed in the analysis. Meaningful results are obtained by analyzing the first two statistical moments

Perforated panels have gained much attention due to their acoustic performance. This paper, investigates the technical efficiency of the Multilayer Perforated Sound Absorber (MPSA) composed of perforated panel fabricated by three-dimensional (3D) printing. To this aim, perforated panels have been printed based on the vat photopolymerization method. In detail, standard resin (photopolymer) material

Non-prismatic beams are widely employed in several engineering fields, e.g., wind turbines, rotor blades, aircraft wings, and arched bridges. While analytical solutions for variable cross-section beams are desirable, a model describing all stress components for beams with general variation of their cross-section under generalised loading remains an open and important problem to solve. To partly address

An original formulation is proposed in order to simulate molten metal deposition geometry with a very low CPU time. This new approach is based on the original technique proposed by Leblond et al. [C. R. Mecanique 341 (2013) 770–775] for the incorporation of surface tension in finite element calculations. The FEM simulation strategy is composed of a 2-step resolution algorithm at each time step of the

Eringen’s nonlocal theory has been widely used for the study of micro- and nano-structures exhibiting size effect phenomena. Eringen’s nonlocal differential constitutive equation has been employed to structural engineering applications, and a number of inconsistencies and paradoxes has been raised. This work centers on exploring static engineering benchmark problems of a nanobeam resting on a Pasternak-type

Foam materials are experiencing a great diffusion in the industrial field because of their numerous properties and adaptability to different purposes. At the same time, research efforts are addressed to define new fields of application and methodologies of foam simulation, capable of combining their behavior at macroscale to phenomena at microscale, i.e. ligaments level. In this paper, a FE beam modeling

Studies conducted in recent years have shown that the ultimate load-bearing and deformation capacity of weldments manufactured from ultra-high-strength steel is often impacted by the heat-affected zone. Thus, to assess the strength properties of these welds, in addition to the base material properties and weld metal, the heat-affected zone's mechanical properties must be analyzed. In this study, a

An investigation into the material stiffness design for enhancing the uniformity of the contact stress is conducted in this paper. A bidirectional evolutionary optimization design approach for interface material stiffness is developed, in which the standard deviation of the contact stress is defined as the objective function and the Young's modulus is treated as the design variable. A design case of

Torsional flexible links are essential for torque transmission in many industrial applications, such as automotive powertrains and turbomachinery. This work develops the formulation of a linear spring element attached between two rotating tracks. Then, the combination of elements is discussed, by generating torque curves that may present regions quasi-zero stiffness (QZS), negative stiffness, as well

In this paper, we present a geometrically nonlinear formulation for a nine-node shell finite element and demonstrate its performance. The total Lagrangian formulation is utilized to allow for large displacements and large rotations. The mixed interpolation of tensorial components (MITC) technique is applied to effectively reduce the membrane and shear locking phenomena without refining mesh, introducing

The addition of nanofillers to composites has attracted great attention since it adds multifunctional potential. However, the presence of nanofillers inside a composite may cause a more complex response in many situations, as damage accumulation processes, and this poses extra challenges in the development of reliable numerical approaches. In this work, a three-step multiscale modelling strategy was

In this paper, shape transformers, a set of non-dimensional geometrical parameters that define beam cross-section efficiencies based on their size and shape, are employed in the wave propagation analysis of two-dimensional periodic lattice structures. Here, shape transformers of lattice unit-cell beams are used as design variables to tailor the frequency band gaps of the lattice structure, in the form

Clearance joint appears in the multibody system and it could cause the uncertainty of motion. A general method for dynamic modelling and analysis of slider-crank mechanism with multiple clearance joints is presented and discussed in this work. The contact-impact characteristics of clearance joint are described by the nonlinear continuous contact force model. With flexible link taken into account, the

It has been shown previously, that Laplacian based explicit and implicit gradient elasticity models can be derived as particular cases of Mindlin’s gradient elasticity and Mindlin’s micro-structured (or equivalently Eringen’s micromorphic) elastic materials. Also, they can be established as counterparts of viscoelastic solids, in view of an analogy to linear viscoelasticity based on mechanical elements

Based upon the principle of minimum total potential energy for consistent couple stress theory, a Ritz variational approach is developed using tensor product B-splines for both two- and three-dimensional elastostatic analysis. The underlying theory is size-dependent due to incorporation of the energy conjugate skew-symmetric couple-stress and mean curvature tensors, in addition to the force-stress

Three-dimensional (3-D) asymmetric and axisymmetric bending analyses of solid circular and annular plates lying on an elastic medium with different boundary conditions are presented in this article. The present nanocomposite circular and annular plates are made of aluminum (Al) matrix reinforced with graphene platelets (GPLs) that uniformly distributed or functionally graded (FG) through the thickness

Dynamic analysis of an inclined sandwich beam under a moving mass is presented on the basis of a third-order shear deformation theory. The core of the sandwich beam is homogeneous while the two face sheets are made from three-phase bidirectional functionally graded material with effective properties varying in both the axial and transverse directions by power gradation laws. A finite element formulation

In this paper, the manipulation of the guided elastic waves in periodically multilayered elastic plates (PMEPs) by introducing interfacial delaminations is explored. A periodic array of interfacial delaminations (PAIDs) distributed along the direction of wave propagation is considered. The spectral element method (SEM) is adopted and applied to accurately and efficiently calculate the transmission

A novel sequential permutation search (SPS) optimization algorithm is proposed for the stacking sequence design of composite cylindrical panels to maximize the fundamental frequency. The SPS exploits the sensitive information of bending stiffness, the convex property of lamination parameters, and the bending-twisting coupling feature of composite laminates. By assigning identical ply orientation at

In this paper, a new analytical approach is proposed for free vibration and buckling analysis of a rectangular Mindlin plate resting on the Winkler–Pasternak foundation of varying stiffness. According to Mindlin theory, there are three independent governing differential equations. Thus, three Fourier series expansions along with auxiliary polynomial functions are employed to represent the plate’s deflection

When dealing with innovative materials – such as composites and metamaterials with complex microstructure – or structural components with non-orthogonal beam/plate geometry, the Finite Element Method can become very costly in calculations and time because of the use of very fine 3D meshes. By exploiting the Node-Dependent Kinematic approach of the Carrera Unified Formulation and using Lagrange expanding

A simplified version of the strain gradient elasticity theory, in which all gradient effects are related to the first scalar invariant of the infinitesimal strain tensor, i.e., to the dilatation, is developed. Two variants of the theory with different forms of boundary conditions are derived using the variational approach. The first variant is derived taking into account independence of the dilatation

The higher-order static equilibria of post-buckled structures are nominally unstable. Recently it has been shown that by actuating two piezoelectric patches bonded to a post-buckled beam, the second-order equilibria can be stabilized and the beam can stably transition from one first-order post-buckled shape to the other, thereby avoiding snap-through. This paper considers the extent to which third-

Clearance of kinematic pairs and flexibility of components are unavoidable problems in engineering applications. Dynamical model of planar rigid 2 DOFs 9 bars rigid-flexible coupling mechanism with compound clearances(including revolute clearance and translational clearance) is built. Comparison of dynamic response and nonlinear characteristic of rigid mechanisms with compound clearances and rigid-flexible

Free vibration response behavior of laminated composite hybrid and Glass Fiber Reinforced Plastic (GFRP) shells is analyzed using a modified higher order zigzag theory (HOZT). The laminated shell model is developed by considering the thickness co-ordinate to radius of curvature ratio (z/R) as well as zero shear conditions at free surfaces of the shell. The C0 finite element formulations with nine-noded

An exact analytical solution to the static problem of biaxial tension-compression of a composite elastic plate made from a junction of two preliminarily strained circular arc-shaped panels (sectors of hollow cylinders) is presented for the case of large strains. It is assumed that the axes of the panels are orthogonal. The problem is formulated using the theory of repeatedly superimposed large deformations

In this manuscript, the computational homogenisation of phase-field fractures is addressed. To this end, a variationally consistent two-scale phase-field fracture framework is developed, which formulates the coupled momentum balance and phase-field evolution equations at the macro-scale as well as at the Representative Volume Element (RVE1) scale. The phase-field variable represent fractures at the

Present study characterizes the propagation of harmonic plane waves in Eringen's non-local thermoelastic medium. Three phase lag (TPL) theory of thermoelasticity has been applied to account for the interactions between elastic and thermal fields. Two sets of coupled longitudinal waves (elastic and thermal) and one independent vertically shear wave have been achieved. Longitudinal waves are found to

A new shear deformation theory is introduced to conduct free vibration analysis of the functionally graded plates with simply supported boundary conditions. The shear functions presented in this study vary with gradient index and satisfy the stress-free boundary conditions on the top and bottom surfaces of functionally graded plates without using any shear correction factor. The displacement field

The buckling and lateral buckling of thin-walled functionally graded (FG) open-section beams with various types of material distributions are studied. The approach is based on assumption that the volume fraction of particles varies through the contour direction according to a power law. The governing buckling equation and a finite element method have been developed to formulate the problem. Warping

Beams resting on elastic foundations are widely used in engineering design such as railroad tracks, pipelines, bridge decks, and automobile frames. Laminated composite beams can be tailored for specific design requirements and offer a desirable design framework for beams resting on elastic foundations. Therefore, the analysis of flexural behaviour of laminated composite beams on elastic foundations

This study presents a comprehensive framework for constitutive modeling of a frame-invariant fractional-order approach to nonlocal thermoelasticity in solids. For this purpose, thermodynamic and mechanical balance laws are derived for nonlocal solids modeled using the fractional-order continuum theory. This includes revisiting the Cauchy’s hypothesis for surface traction vector in order to account

Auxetic composites are one of novel metamaterials which exhibit an interesting feature of negative Poisson's ratio (NPR). The current study reports the impact of in-plane NPR on the postbuckling responses of axially loaded cylindrical shells made of graphene-reinforced metal matrix composite (GRMMC) layers. Each layer of a GRMMC laminated cylindrical shell can vary its graphene volume fraction so that

This paper presents mechanical responses of viscoelastic structures with complicated geometries. The structures are discretized with finite beam elements, whose kinematic theories are derived according to the Carrera Unified Formulation. The governing equations are solved in the Laplace domain to avoid the computation of the convolution integral, which mathematically simulates the viscoelastic constitutive

This paper presents a new implementation of the dual reciprocity method (DRM) in connection with the dual interpolation boundary face method (DiBFM) for the Poisson equation. In DiBFM, the nodes of an element are categorized into two groups: (i) source nodes (ii) virtual nodes. First layer interpolation is used to interpolate the physical variables, while boundary integrals are evaluated on the source

Arches and curved beams are solved here by the G/XFEM in the context of free vibration problems. This hierarchical enrichment method has been used in many complex applications, however it has not been examined for dynamic of curved beams yet. The focus of the present work is to apply the G/XFEM for free vibration analysis of thin and thick curved beam models. The accuracy of frequencies values, the

This study aims to analyze the chaotic dynamics and present a chaos controller for spur gear transmission systems with idler. The chaotic dynamics of the spur gear mechanism has already been investigated. However, the presence of idler gears affects the chaotic behavior and the route to chaos for the nonlinear model of spur gears. This is investigated through the derivation of dimensionless dynamics

We establish criteria which guarantee the uniformity of stresses inside a coated non-parabolic open inhomogeneity located in the vicinity of a circular Eshelby inclusion undergoing linear anti-plane eigenstrains when the surrounding matrix is subjected to uniform remote anti-plane stresses. The associated inverse problem in anti-plane elasticity which identifies the required geometry of the constituents

This article presents different micromechanical modelling techniques based on analytical and numerical approaches to determine the effective elastic and piezoelectric (piezoelastic) properties of graphene-based composite materials. Different types, orientations and shapes as well as different geometrical parameters of fiber reinforcement are considered for estimating the effective properties. The effective

We first present a model coupling the electrochemical reaction with strain gradient plasticity for a spherical electrode, which aims to analyze the evolutions and distributions of electrochemical-reaction dislocations and diffusion-induced stress during lithiation process. Several critical features viewed by in-situ TEM are incorporated into this model, such as the two-phase boundary and high-density

This manuscript presents an analytical model to predict the formation of characteristic fractographic features appearing on the fracture surfaces of single crystal silicon's {100}- and {110}-planes. The first part of the model deals with the formation of the mirror-hackle boundary, and it was developed based on established, elastodynamic theories and the material's mechanical properties. The second

This paper addresses the two-scale problem underlying the enriched continuum for transient diffusion problems, which was previously developed and tested at the single scale level only (Waseem et al., Comp.Mech, 65, 2020). For a linear material model exhibiting a relaxed separation of scales, a model reduction was proposed at the micro-scale that replaces the micro-scale problem with a set of uncoupled

In this study, a new fast approach to predict the net-tension failure strength of multi-bolt composite joints was developed based on finite fracture mechanics and p-version parametric finite element methods. In the proposed approach, stress distribution and stress intensity factor are obtained using the principle of superposition, based on which the problem can be divided into open hole tension and

The paper presents an analytical solution to the coupled problem of spherically symmetric elastic-plastic deformation accompanied by heating of the material due to the plastic dissipation, which in turn changes the mechanical properties of the material. The dependence of both elastic and plastic mechanical properties of the material on temperature can be arbitrary. Both elastic and plastic deformations