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Gives a bibliographical review of the finite element methods (FEMs) applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the theoretical as well as practical points of view. The range of applications of FEMs in this area is wide and cannot be presented in a single paper; therefore aims to give the reader an encyclopaedic view on the subject. The bibliography at the end of the paper contains 2,025 references to papers, conference proceedings and theses/dissertations dealing with the analysis of beams, columns, rods, bars, cables, discs, blades, shafts, membranes, plates and shells that were published in 1992‐1995.

This paper developed a new method of making floor from poplar using glued technology and densification technology. This paper aimed to use fast-grown poplar wood to produce floor to expand material supply range of floor in order to solve problem of material supply shortage for floor industry.

Densification technology and gluing technology were used to obtain high-density surface materials of floor under high pressure, meanwhile in order to reduce loss of poplar wood caused by compressing, high-density surface materials floor and substrate are glued and pressed under low pressure.

The method of compressing poplar wood under high pressure can improve poplar's physical and mechanical properties. Adopting densification technology and gluing technology can produce the poplar laminated composite floor which meets the requirements of Chinese standard GB/T 18103.

This method of producing floor by compression densification technology would cause wood loss from reduction in thickness because poplar was pressed under high pressure.

This method of making floor from poplar wood concerned in this study allows the floor making industry to eliminate its dependence on precious wood resource, expand supply range of floor material, and then solve problem of wood supply shortage of floor industry.

This study may help solve the difficult problem that poplar cannot directly be used to produce floor because of its softness, low density and low strength. Through densification technology, great improvement in strength and hardness of poplar had been made.

This paper aims to investigate the responses of laminated glass under soft body impact, including elastic impact and fracture/fragmentation consideration.

The simulation uses the combined finite-discrete element method (FDEM) which combines finite element mesh into discrete elements, enabling the accurate prediction of contact force and deformation. Material rupture is modelled with a cohesive fracture criterion, evaluating the process from continua to discontinua.

Responses of laminated glass under soft impact (both elastic and fracture) agree well with known data. Crack initiation time in laminated glass increases with the increase of the outside glass thickness. With the increase of Eprojectile, failure mode is changing from flexural to shear, and damage tends to propagate longitudinally when the contact surface increases. Results show that the FDEM is capable of modelling soft impact behaviour of laminated glass successfully.

The work is done in 2D, and it will not represent fully the 3D mechanisms.

Elastic and fracture behaviour of laminated glass under soft impact is simulated using the 2D FDEM. Limited work has been done on soft impact of laminated glass with FDEM, and special research endeavours are warranted. Benchmark examples and discussions are provided for future research.

Numerous finite elements are proposed based on analytical solutions. However, it is difficult to find the solutions for complicated governing equations. This paper aims to present a novel formulation in the framework of assumed stress quasi-conforming method for the static and free vibration analysis of anisotropic and symmetric laminated plates.

Firstly, an initial stress approximation ruled by 17 parameters, which satisfies the equilibrium equations is derived to improve the performance of the constructed element. Then the stress matrix is treated as the weighted function to weaken the strain-displacement equations. Finally, the Timoshenko’s laminated composite beam functions are adopted as boundary string-net functions for strain integration.

Several numerical examples are presented to show the performance of the new element, and the results obtained are compared with other available ones. Numerical results have proved that the new element is free from shear locking and possesses high accuracy for the analysis of anisotropic and symmetric laminated plates.

This paper proposes a new QC element for the static and free vibration analysis of anisotropic and symmetric laminated plates. In contrast with the complicated analytical solutions of the equilibrium equations, an initial stress approximation ruled by 17 parameters is adopted here. The Timoshenkos laminated composite beam functions are introduced as boundary string-net functions for strain integration. Numerical results demonstrate the new element is free from shear locking and possesses high accuracy for the analysis of anisotropic and symmetric laminated plates.

The purpose of this paper is to analyse the nonlinear flexural behaviour of laminated curved panel under uniformly distributed load. The study has been extended to analyse different types of shell panels by employing the newly developed nonlinear mathematical model.

The authors have developed a novel nonlinear mathematical model based on the higher order shear deformation theory for laminated curved panel by taking the geometric nonlinearity in Green-Lagrange sense. In addition to that all the nonlinear higher order terms are considered in the present formulation for more accurate prediction of the flexural behaviour of laminated panels. The sets of nonlinear governing equations are obtained using variational principle and discretised using nonlinear finite element steps. Finally, the nonlinear responses are computed through the direct iterative method for shell panels of various geometries (spherical/cylindrical/hyperboloid/elliptical).

The importance of the present numerical model for small strain large deformation problems has been demonstrated through the convergence and the comparison studies. The results give insight into the laminated composite panel behaviour under mechanical loading and their deformation behaviour. The effects of different design parameters and the shell geometries on the flexural responses of the laminated curved structures are analysed in detailed. It is also observed that the present numerical model are realistic in nature as compared to other available mathematical model for the nonlinear analysis of the laminated structure.

A novel nonlinear mathematical model is developed first time to address the severe geometrical nonlinearity for curved laminated structures. The outcome from this paper can be utilized for the design of the laminated structures under real life circumstances.

The purpose of this paper is to develop a general mathematical model for laminated curved structure of different geometries using higher-order shear deformation theory to evaluate in-plane and out of plane shear stress and strains correctly. Subsequently, the model has to be validated by comparing the responses with developed simulation model (ANSYS) as well as available published literature. It is also proposed to analyse thermal buckling load parameter of laminated structures using Green–Lagrange type non-linear strains for excess thermal distortion under uniform temperature loading.

Laminated structures known for their flexibility as compared to conventional material and the deformation behaviour are greatly affected due to combined thermal/aerodynamic environment. The vibration/buckling behaviour of shell structures are very different than that of the plate structures due to their curvature effect. To model the exact behaviour of laminated structures mathematically, a general mathematical model is developed for laminated shell geometries. The responses are evaluated numerically using a finite element model-based computer code developed in MATLAB environment. Subsequently, a simulation model has been developed in ANSYS using ANSYS parametric design language code to evaluate the responses.

Vibration and thermal buckling responses of laminated composite curved panels have been obtained based on proposed model through a customised computer code in MATLAB environment and ANSYS simulation model using ANSYS parametric design language code. The convergence behaviour are tested and compared with those available in published literature and ANSYS results. Finally, the investigation has been extended to examine the effect of different parameters (thickness ratios, curvature ratios, modular ratios, number of layers and support conditions) on the free vibration and thermal buckling responses of laminated curved structures.

The present paper intends to give sufficient amount of numerical experimentation, which may lead to help in designing of finished product made up of laminated composites. Most of the aerospace, space research and defence organisation intend to develop low cost and high durable products for real hazard conditions by taking combined loading and environmental conditions. Further, case studies might lead to a lighter design of the laminated composite panels used in high-performance systems, where the weight reduction is the major parameter, such as aerospace, space craft and missile structures.

In this analysis, the geometrical distortion due to temperature is being introduced through Green–Lagrange sense in the framework of higher-order shear deformation theory for different types of laminated shells (cylindrical/spherical/hyperboloid/elliptical). A simulation-based model is developed using ANSYS parametric design language in ANSYS environment for different geometries and loading condition and compared with the numerical model.

The purpose of this paper is to investigate the influence of key parameters on the bond strength and failure modes of laminated structures made of different aluminum alloys (i.e. Al 2024 and Al 7075) via the ultrasonic consolidation (UC) process.

The UC is used to fabricate laminated structures with various parameters. The push-pin tests were performed on the specimens of different materials and parameters, and the force and displacement were recorded during the tests. The peak punch force was used to represent the bond quality of the laminated structure, and the curves of force versus displacement were used to study the failure modes of the structures.

It is found that the lower normal force, the larger vibration amplitude and the lower travel speed can result in stronger bonding. Three different failure modes are observed in the tests, due to the different relations between the toughness of interface and raw materials. The process parameters have influence on the interface toughness of a laminated structure, which further leads to different failure modes.

The overall mechanical properties of a laminated structure highly depend on the bond quality between laminated layers. The push-pin test can easily and effectively evaluate the bond quality of the laminated structure. This paper not only focuses on the bond strength evaluation, but also analyzes the different failure modes of laminated structures made of different aluminum alloys, which can give an opportunity to optimize the parameters for different materials.

The purpose of this paper is to ease the methodological application of critical realist multilevel research in business marketing. Although there has been plenty of theoretical contributions in this field, it is not always clear how critical realism can be best applied in business marketing settings. Accordingly, this paper addresses this gap in literature. Also, this paper addresses the calls for a multilevel conceptualization for resilience, based on the critical realist laminated systems.

This is a conceptual paper, which uses pre-existing literature to develop a critical realist methodological approach for the purposes of multilevel business marketing research. The contribution is based on literature by combining pre-existing ideas in a new way in the context of business marketing.

This paper makes a methodological contribution by introducing the critical realist “laminated systems” to business marketing as a multilevel research approach. Furthermore, the authors conceptualize a specific laminated model, the Laminated Interactional Model (LIM), that is designed for the purpose of business marketing research. The LIM is a methodological tool that conceptualizes business marketing based on six levels of analysis, easing the methodological application of critical realism in business marketing settings. In addition, to provide an example, the authors apply the LIM to the literature on resilience, providing a multilevel conceptualization. This is a timely contribution, as resilience has emerged as a central concept addressing interorganizational survival during the COVID-19 pandemic.

This paper makes three main contributions to business marketing. First, this paper provides a methodological contribution by introducing the critical realist notion of “laminated systems” to business marketing. Second, this paper conceptualizes a specific laminated model for business marketing, namely, the LIM. Third, as a response to the COVID-19 pandemic, this paper will apply critical realism and the LIM to the notion of resilience, addressing the calls for multilevel conceptualizations.

FRP laminated structures enjoy the advantages of a low mass and high specific strength. However, the utilization of laminated forming methods causes these structures to become susceptible to phenomena such as delamination and fiber breakage, which lead to strength deficiencies, when they sustain low-velocity impact. In light of this, increasing the low-velocity impact strength of FRP laminated structures has been a major direction. This study utilizes Constrained Layered Damping (CLD) to enhance the low-velocity impact strength of FRP laminated structures, and assesses the efficiency of attaching CLD to laminated materials in increasing low-velocity impact strength. The results provide a reference for the design and construction of relevant structures in the future. Low-velocity impact failure in FRP laminated structures commonly includes fiber breakage and delamination. Delamination is particularly apparent when laminated curved shells bear external loading. We will attach CLD to the rear of FRP laminated structures to appropriately absorb impact energy, increasing the low-velocity impact strength of the structures. Results showed that the existence of CLD effectively delayed the occurrence of delamination, increasing the post-failure strength of laminated structures and alleviating structural failure. Finally, the energy perspective is used to assess the efficiency of increasing the low-velocity impact strength of FRP structures after attaching CLD.

The purpose of this paper is to attempt the buckling analysis of a laminated composite skew plate using the C₀ finite element (FE) model based on higher-order shear deformation theory (HSDT) in conjunction with minimax probability machine regression (MPMR) and multivariate adaptive regression spline (MARS).

HSDT considers the third-order variation of in-plane displacements which eliminates the use of shear correction factor owing to realistic parabolic transverse shear stresses across the thickness coordinate. At the top and bottom of the plate, zero transverse shear stress condition is imposed. C₀ FE model based on HSDT is developed and coded in formula translation (FORTRAN). FE model is validated and found efficient to create new results. MPMR and MARS models are coded in MATLAB. Using skew angle (α), stacking sequence (Ai) and buckling strength (Y) as input parameters, a regression problem is formulated using MPMR and MARS to predict the buckling strength of laminated composite skew plates.

The results of the MPMR and MARS models are in good agreement with the FE model result. MPMR is a better tool than MARS to analyze the buckling problem.

The present work considers the linear behavior of the laminated composite skew plate.

To the authors’ best of knowledge, there is no work in the literature on the buckling analysis of a laminated composite skew plate using C₀ FE formulation based on third-order shear deformation theory in conjunction with MPMR and MARS. These machine-learning techniques increase efficiency, reduce the computational time and reduce the cost of analysis. Further, an equation is generated with the MARS model via which the buckling strength of the laminated composite skew plate can be predicted with ease and simplicity.