Nonlinear finite element analysis of inflatable beams made from orthotropic woven fabric

This paper was devoted to the three-dimensional nonlinear finite element analysis of inflatable beams. The beams under consideration are made of modern textile materials and can be used as a load-bearing beams or arches when inflated. A 3D Timoshenko beam with a homogeneous orthotropic woven fabric (OWF) was proposed. The model took into account the geometric nonlinearities and the follower force resulting from the inflation pressure. The use was made of the usual total Lagrangian form of the virtual work principle to perform the nonlinear equilibrium equations which were discretized by the finite element method. Two kinds of solutions were then investigated: finite elements solutions for linearized problems which were obtained by the means of the linearization around the prestressed reference configuration of the nonlinear equations and nonlinear finite element solutions which were performed by the use of an optimization algorithm based on the Quasi-Newton method. As an example, the bending problem of a cantilever inflated beam under concentrated load was considered and the deflection results improve the existing theoretical models. As these beams are made from fabric, the beam models were validated through their comparison with a 3D thin-shell finite element model. The influence of the material effective properties and the inflation pressure on the beam response was also investigated through a parametric study. The finite elements solutions for linearized problems were found to be close to the theoretical results existing in the literature. On the other hand, the results for the nonlinear finite element model were shown to be close to the results for the linearized finite elements model in the case of high mechanical properties and the nonlinear finite element model was used to improve the linearized model when the mechanical properties of the fabric are low.     

New organic materials based on D–π–A structure for application in dye-sensitized solar cells

Research on Chemical Intermediates - We used density functional theory at B3LYP level with 6-31G(d,p) basis set for all atoms to study the electrochemical, photovoltaic, and absorption properties...     

Crystal Structure of 3′-(4-Methoxyphenyl)-2-Phenyl-4′-(4-Ethoxyphenyl)-1,2-Dihydro-4H,4′H-Spiro [Isoquinoline-3,5′-Isoxazol]-4-One

The title compound, 3′-(4-methoxyphenyl)-2-phenyl-4′-(4-ethoxyphenyl)-1,2-dihydro-4H,4′H-spiro[isoquinoline-3,5′-isoxazol]-4-one was synthesized from the reaction of dipolarophile with p-methoxybenzadoxime in the presence of sodium hypochlorite in chloroform solution. The structure of the synthesized compound was determined by IR, ¹H NMR, mass spectroscopic data, ¹³C NMR spectroscopy, elemental analysis and X-ray crystallography. The structure was solved in monoclinic, space group C2/c with a = 21.941 (4), b = 17.233 (3), c = 15.404 (3) Å, β = 122.193 (2), V = 4928.9 (16) Å³, Z = 8 and with R_int = 0.154. The geometry of the title compound showed that the piperidine ring adopts a half-chair conformation. In the crystal structure, molecules are linked by C–H···O and C–H···N contacts. Weak C–H···π interactions plays an important role in stabilizing the supramolecular structure.     

Fuzzy Optimality Conditions for Fractional Multiobjective Bilevel Problems Under Fractional Constraints

In this article, we are concerned with fractional multiobjective optimization problems. In order to derive optimality conditions, we consider a new single level problem [12 J.J. Ye ( 2006 ). Constraint qualification and KKT conditions for bilevel programming problems . Mathematics of Operations Research 31 : 811 – 824 .[Crossref], [Web of Science ®] , [Google Scholar]], which is locally equivalent to the bilevel fractional multiobjective problem (P) at the optimal solution. Our approach consists of using another approach initiated by Mordukhovich [7 B.S. Mordukhovich ( 1976 ). Maximum principle in problems of time optimal control with nonsmooth constraints . J. Appl. Math. Mech. 40 : 960 – 969 .[Crossref], [Web of Science ®] , [Google Scholar], 8 B.S. Mordukhovich ( 1980 ). Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems . Soviet. Math. Dokl. 22 : 526 – 530 . [Google Scholar]], which does not involve any convex approximations and convex separation arguments, called the extremal principle [5 B.S. Mordukhovich ( 2006 ). Variational Analysis and Generalized Differentiation, I: Basic Theory . Grundlehren Series (Fundamental Principles of Mathematical Sciences) , Vol. 330 , Springer , Berlin . [Google Scholar], 6 B.S. Mordukhovich ( 2006 ). Variational Analysis and Generalized Differentiation, II: Applications , Grundlehren Series (Fundamental Principles of Mathematical Sciences) , Vol. 331 , Springer , Berlin . [Google Scholar], 9 B.S. Mordukhovich ( 1994 ). Generalized differential calculus for nonsmooth and set-valued mappings . J. Math. Anal. Appl. 183 : 250 – 288 .[Crossref], [Web of Science ®] , [Google Scholar]], for the study of necessary optimality conditions in fractional vector optimization.