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2. Plate reference surface slope and transverse normal  

2. Plate reference surface slope and transverse normal  

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Motivated by a recently discovered concept, Structure Genome (SG) which is defined as the smallest mathematical building block of a structure, a new approach named Mechanics of Structure Genome (MSG) to model and analyze composite plates is introduced. MSG is implemented in a general-purpose code named SwiftComp, which provides the constitutive mod...

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... En este caso veremos cómo podemos llevar un modelo creado en TexGen a Ansys. [25] Una vez se haya terminado el modelo o la celda unitaria del modelo tenemos diferentes opciones para exportarlo a herramientas de análisis por elementos finitos, en este caso se trabaja con una malla voxelizada. Hacemos clic y nos aparece el anterior cuadro de opciones, en X Voxel count, Y Voxel count, Z Voxel count, se dividirá el modelo en el número que asignemos para cada dirección, es decir, si el modelo mide 50mm en X y en la casilla X Voxel count asignamos el número 50, se creara la malla cada 1mm. ...
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This work aims to provide an introduction to the use of Texgen software for the creation of composite models to be use in finite element analysis (FEA). The configuration of the thread definition, woven arrangements, and material properties is explained. In addition, we show how to export the models to any FEA software to perform the static structural analyses. This is part of the project "Numerical and experimental modeling of composite materials reinforced with fibers woven in fique"
... MSG is based on the principle of minimum information loss (PMIL) to minimize the information loss between the original model and the homogenized model. It has already been shown that MSG has the capability to efficiently and accurately analyze composite beams, composite plates, and other composite structures ( Liu and Yu, 2016;Zhao, 2016;Peng et al., 2016 ). It can also be used to perform the two-step homogenization of textile composites for predicting effective 3D properties of textile composites . ...
... Besides, we will extend MSG to construct beam models and plate models for textile structures to compute equivalent beam/plate properties in terms of woven microstructures. Unlike the plate and beam problems solved in other MSG papers ( Liu and Yu, 2016;Zhao, 2016;Peng et al., 2016 ), textile beam and plate problems have some unique features. First, due to the 3D heterogeneity of woven composites, 3D SGs must be used at the macro-homogenization step. ...
Article
Mechanics of structure genome (MSG) is used to develop an approach for multiscale structural analysis of textile structures. First, MSG is used to predict the properties of yarns having realistic geometry. Then, beam and plate stiffness matrices are predicted based on the yarn and matrix properties using MSG. These beam and plate stiffness matrices are used to perform structural analysis of textile beams and plates. The computed global responses are used to conduct dehomogenization to obtain local stress fields. The MSG-based global displacement and local stress fields are compared with those predicted by direct numerical simulation (DNS) to compare accuracy and computational efficiency. An excellent agreement was observed for both global displacement and local stress field results, while the computational cost and modeling effort of MSG-based analysis are significantly lower than those of DNS.
... In particular, the 1D through-the-thickness analysis is based on an energy functional that is asymptotically correct up through the second order of h/l in terms of the 2D plate variables and their partial derivatives. However, for arbitrary constitutive materials, although there has been very little work done, 10,11 all of the formulations in the cited works are only focused on constructing the CLT. ...
... It is obvious that the total potential energy functional of this approximation coincides with the 2D classical laminated plate model, which is the same as that derived by the VAM. 10,11 In particular, when the present formulation is restricted for the material symmetry of monoclinic about the middle plane (i.e., D es = D st = 0), Eq. (36) reduces to 2D classical laminated plate model. 8, 9, 21 ...
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Nonlinear dynamic response with stability analysis of a sandwich structure with flexible core are investigated by integration of variational asymptotic method (VAM) and the first-order shear deformation theory. A simply supported sandwich structure is subjected to an harmonic transverse excitation in thermal environments. Generalized 2 D Reissner-Mindlin type stiffness matrices including an equivalent transverse shear matrix are obtained based on through-the-thickness analysis using VAM without invoking any ad hoc kinematic assumptions. The governing equation is derived using Hamilton’s principle taking into account von K[Formula: see text]rm[Formula: see text]n geometric nonlinearity. Galerkin’s method is employed to develop a nonlinear differential equation of the problem with quadratic and cubic nonlinearities, which are associated with the coupling of the in-plane stretching and transverse deflection due to thermal moments. Periodic solutions are determined using the incremental harmonic balance (IHB) method and incremental arc-length technique. The stability is evaluated by Routh-Hurwitz theory. The effects of the temperature variation, geometric parameters and material properties on the resonance as well as amplitude of steady state vibration are investigated through a detail parametric study.