Analysis of laminated beams using the natural neighbour radial point interpolation method

Neste trabalho aplica‐se o método sem malha natural neighbour radial point interpolation method (NNRPIM) à análise unidimensional de vigas laminadas, considerando a teoria de Timoshenko. O NNRPIM combina o conceito matemático dos vizinhos naturais com a interpolação radial pontual. Os diagramas de Voronoï permitem impor a conectividade nodal e construir a malha de fundo para efeitos de integração, por intermédio das células de influência. É apresentada a construção das funções de interpolação NNRPIM, sendo, para estas, usada a função de base radial multiquadrática. As funções de interpolação geradas possuem continuidade infinita e a propriedade de delta Kronecker, o que facilita a imposição das condições de fronteira, uma vez que estas podem ser impostas com o método da imposição direta, tal como no método dos elementos finitos (FEM). De modo a obter o campo de deslocamentos e de deformações, a teoria de deformação de Timoshenko para vigas sujeitas a esforços transversos é considerada. Vários exemplos numéricos de vigas isotrópicas e vigas laminadas são apresentados de modo a demonstrar a convergência e a exatidão da aplicação proposta. Os resultados obtidos são comparados com soluções analíticas disponíveis na literatura.In this work, a meshless method, “natural neighbour radial point interpolation method” (NNRPIM), is applied to the one‐dimensional analysis of laminated beams, considering the theory of Timoshenko. The NNRPIM combines the mathematical concept of natural neighbours with the radial point interpolation. Voronoï diagrams allows to impose the nodal connectivity and the construction of a background mesh for integration purposes, via influence cells. The construction of the NNRPIM interpolation functions is shown, and, for this, it is used the multiquadratic radial basis function. The generated interpolation functions possess infinite continuity and the delta Kronecker property, which facilitates the enforcement of boundary conditions, since these can be directly imposed, as in the finite element method (FEM). In order to obtain the displacements and the deformation fields, it is considered the Timoshenko theory for beams under transverse efforts. Several numerical examples of isotropic beams and laminated beams are presented in order to demonstrate the convergence and accuracy of the proposed application. The results obtained are compared with analytical solutions available in the literature.Peer Reviewe

Hydrophilic antioxidant compounds in orange juice from different fruit cultivars: Composition and antioxidant activity evaluated by chemical and cellular based (Saccharomyces cerevisiae) assays

Antioxidant capacity was evaluated by a cellular model (Saccharomyces cerevisiae) and chemical methods (FRAP, TEAC and total phenols by Folin-Ciocalteu assay) in the hydrophilic fraction (phenolic compounds and ascorbic acid) of orange juices (OJs) from six varieties (Midknight, Delta Seedless, Rohde Red, Seedless, Early and clone Sambiasi), harvested in two seasons. The contents of phenolic compounds and ascorbic acid analyzed, respectively, by UPLC and HPLC were 370.04 76.97 mg/L and 52.05 6.69 mg/100 mL. Variety and season significantly influenced (p < 0.05) composition and antioxidant capacity. TEAC and FRAP values correlated well with individual hydrophilic compounds (R2 > 0.991) but no correlation with cellular assay was observed. An increase in survival rates between 23% and 38% was obtained, excepting for two varieties that showed no activity (Rohde Red and Seedless). Narirutin, naringin-d, ferulic acid-d2, didymin, neoeriocitrin and sinapic acid hexose and caffeic acid-d1 were the phenolic compounds which contributed to survival rates (R2 = 0.979, p < 0.01

The computational mechanics of bone tissue: biologic behaviour, remodelling algorithms and numerical applications

This book offers a timely snapshot of computational methods applied to the study of bone tissue. The bone, a living tissue undergoing constant changes, responds to chemical and mechanical stimuli in order to maximize its mechanical performance. Merging perspectives from the biomedical and the engineering science fields, the book offers some insights into the overall behavior of this complex biological tissue. It covers three main areas: biological characterization of bone tissue, bone remodeling algorithms, and numerical simulation of bone tissue and adjacent structures. Written by clinicians and researchers, and including both review chapters and original research, the book offers an overview of the state-of-the-art in computational mechanics of bone tissue, as well as a good balance of biological and engineering methods for bone tissue analysis. An up-to-date resource for mechanical and biomedical engineers seeking new ideas, it also promotes interdisciplinary collaborations to advance research in the field.publishe