Loading...
8 results
Search Results
Now showing 1 - 8 of 8
- Toward variability characterization and statistic models' constitution for the prediction of exponentially graded plates' static responsePublication . Rosa, Rafael da Silva Batista; Loja, M.A.R.; Carvalho, AldaFunctionally graded composite materials may constitute an advantageous alternative to engineering applications, allying a customized tailoring capability to its inherent continuous properties transition. However, these attractive characteristics must account for the uncertainty that affects these materials and their structures' physical quantities. Therefore, it is important to analyze how this uncertainty will modify the foreseen deterministic response of a structure that is built with these materials, identifying which of the parameters are responsible for a greater impact. To pursue this main objective, the material and geometrical parameters that characterize a plate made of an exponentially graded material are generated according to a random multivariate normal distribution, using the Latin hypercube sampling technique. Then, a set of finite element analyses based on the first-order shear deformation theory are performed to characterize the linear static responses of these plates, which are further correlated to the input parameters. This work also considers the constitution of statistic models in order to allow their use as alternative prediction models. The results show that for the plates that were analyzed, the uncertainty associated with the elasticity modulus of both phases is mainly responsible for the maximum transverse deflection variability. The effectiveness of the statistical models that are built are also shown.
- Nonlocal free vibrations of metallic FGM beamsPublication . Loja, M.A.R.; Rzeszut, Katarzyna; Barbosa, JoaquimThis work aims to analyse the free-vibration response of functionally graded, simply supported beams with different gradient directions, taking into account nonlocal effects. To this purpose, the first-order shear deformation theory and the nonlocal elasticity theory of Eringen are used, in order to assess the influence of size dependency effects on the free-vibration responses of those beams. The influence of other factors such as the aspect ratio of the beams and the evolution of the constituents’ mixture through the beam thickness and along its length is also considered. In this last case, a mixture distribution is proposed, accounting for the boundary conditions’ characteristics. The finite element model is first verified against existing alternative solutions, to assess and illustrate its performance. Based on the conclusions achieved, a set of parametric studies is then developed. The results are discussed considering the material distribution profiles, and conclusions are drawn with respect to their relative performance under the analysed conditions.
- Functionally graded particulate composite plates: a dydactic case studyPublication . Costa, D. M. S.; Bernardo, G. M. S.; Loja, AméliaThis work is part of an educational symbolic platform which was designed to aid and promote the learning of the mechanical behaviour of thin, simply supported rectangular plates. The integration of such simulation tools into the teaching process as an assisting tool can be an additional factor to contribute for a successful competences achievement on this subject. The present case study is focused on the deflection analysis of a functionally graded particulate composite plate submitted to a user-defined transverse loading.
- Mechanical behavior of porous functionally graded nanocomposite materialsPublication . Mota, A. F.; Loja, AméliaMaterials used in biomedical applications need to cope with a wide set of requisites, one of them being their structural adequacy to a specific application. Thus, it is important to understand their behavior under specified standard cases, namely concerning their structural performance. This objective constituted the focus of the present study, where nanocomposite functionally graded materials integrating di_erent porosity distributions were analyzed. To this purpose a set of numerical simulations based on the finite element method, reproducing American Society for Testing and Materials (ASTM) tensile and bending tests were considered. The results obtained show a good performance of the models implemented through their preliminary verification. It is also possible to conclude that carbon nanotubes and porosity distributions provide di_erent and opposite e_ects in the context of the nanocomposite materials analyzed.
- Porous functionally graded plates: na assessment of the influence of shear correction factor on static behaviorPublication . Mota, Ana F.; Loja, Amélia; Barbosa, Joaquim; Rodrigues, José AlbertoThe known multifunctional characteristic of porous graded materials makes them very attractive in a number of diversified application fields, which simultaneously poses the need to deepen research efforts in this broad field. The study of functionally graded porous materials is a research topic of interest, particularly concerning the modeling of porosity distributions and th ecorresponding estimations of their material properties—in both real situations and from a material modeling perspective. This work aims to assess the influence of different porosity distribution approaches on the shear correction factor, used in the context of the first-order shear deformation theory, which in turn may introduce significant effects in a structure’s behavior. To this purpose, we evaluated porous functionally graded plates with varying composition through their thickness. The bending behavior of these plates was studied using the finite element method with two quadrilateral plate element models. Verification studies were performed to assess the representativeness of the developed and implemented models, namely, considering an alternative higher-order model also employed for this specific purpose. Comparative analyses were developed to assess how porosity distributions influence the shear correction factor, and ultimately the static behavior, of the plates.
- Static and free vibrations analysis of particulate composite plates using radial basis functionsPublication . Bernardo, G.M.S.; Loja, AméliaComposite materials are known for their tailor-made properties, being the fiber reinforced laminate composites a commonly used type of composite. Other types of composites such as particulate composites have however an additional ability to vary in a continuous form the proportions of the phases involved in the composite manufacturing. This characteristic is an important feature as it enables the minimization of abrupt stresses transitions that always appear when laminates are used. The variation of phases’ mixture in space can be specified to obey to a predetermined pattern. In the present work, one considers the possibility of the constituents of a dual-phase particulate composite plate, to vary either using an exponent power law or an exponential law, which in this last situation allows admitting a sandwich configuration. A set of illustrative cases considering moderately thick plates, is presented to allow for a comparative study concerning their static and free vibrations behavior.
- Mechanical behavior of a sandwich plate with aluminum foam core, using an image-based layerwise modelPublication . Mota, A. F.; Loja, Amélia; Barbosa, J.I.; Vinyas, M.Functionally graded materials are an advanced type of composite materials whose properties’ spatial evolution can be designed through the definition of the spatial distribution of the constituent phases’ mixture. This feature is particularly important if specific non-homogeneous properties’ requirements are required without introducing abrupt phases’ transitions, as happens in laminated materials. Porosities’ distributions within these materials, may constitute a design requisite for some applications, such as medical implants, but can also be highly undesirable in other cases such as for aeronautical applications. Regardless the specific situation, its characterization is of high importance to the prediction of the resulting materials’ behavior. This work is focused on the static and free vibrations’ analysis of a sandwich plate with a porous aluminum foam core and outer aluminum skins. The porosities’ distribution is modeled by different fitting functions, based on data obtained from a preliminary image processing stage of X-ray CT image of the sandwich plate’ cross-section. A layerwise approach is considered for subsequent numerical simulations’ purpose, where the sandwich skins’ kinematics are modeled using the first order shear deformation theory, while the core is modeled by a higher order shear deformation theory. Fitting functions’ influence on the plate’ behavior is also assessed.
- An assessment of thick nanocomposite plates' behavior under the influence of carbon nanotubes agglomerationPublication . Craveiro, D.S.; Loja, AméliaThe influence assessment of carbon nanotubes (CNTs) agglomeration on CNT-reinforced composite (CNTRC) thick plates' behavior is the main aim of the present work. CNTs are known to agglomerate into clusters even for relatively low volume fractions, which imposes the need to characterize the effects this may introduce in structures behavior, also knowing that recent works have concluded that neglecting agglomeration phenomenon may lead to an overestimation of the mechanical properties of nanocomposites. Hence, it matters to understand how the arising of these clusters may affect the static and free vibrational behaviors of low side-to-thickness nanocomposite plates. To this purpose, the nanocomposite plate properties' estimation is performed by using the two-parameter model of agglomeration based on the Eshelby-Mori-Tanaka approach, while for behavioral analyses one considers a Higher-order Shear Deformation Theory (HSDT) based on the displacement field of Kant, implemented through the finite element method. The analyses developed consider a set of parametric studies involving the assessment of the influence of side-to-side ratios, side-to-thickness ratios, boundary conditions, and CNTs' distributions along the thickness. The results obtained allow concluding that the transverse deflections and fundamental frequencies of these structures are significantly influenced by the CNTs' agglomeration.