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  • Open Access

    PROCEEDINGS

    Peridynamic Analysis on Failure of Cantilever Beam Subjected to a Concentrated Force and Uniform Distributed Traction

    Zeyuan Zhou1, Ming Yu1, Zaixing Huang1,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.09135

    Abstract Peridynamics (PD) is a reformulation of the classical continuum mechanics. Its core consists in that a weighted integral of relative displacement over a spatial domain is used instead of the spatial derivative of displacement in governing equations of deformation. Based on an improved technique of exerting traction on boundary surface, an improved peridynamic motion equation has been proposed within the framework of the peridynamic(PD) theory. It is more natural and easier to deal with boundary conditions for the elastic deformation and fracture analysis. Under the enhancement effect in the constructed transfer functions of boundary traction,… More >

  • Open Access

    ARTICLE

    Buoyancy driven Flow of a Second-Grade Nanofluid flow Taking into Account the Arrhenius Activation Energy and Elastic Deformation: Models and Numerical Results

    R. Kalaivanan1, N. Vishnu Ganesh2, Qasem M. Al-Mdallal3,*

    FDMP-Fluid Dynamics & Materials Processing, Vol.17, No.2, pp. 319-332, 2021, DOI:10.32604/fdmp.2021.012789 - 02 April 2021

    Abstract The buoyancy driven flow of a second-grade nanofluid in the presence of a binary chemical reaction is analyzed in the context of a model based on the balance equations for mass, species concentration, momentum and energy. The elastic properties of the considered fluid are taken into account. The two-dimensional slip flow of such non-Newtonian fluid over a porous flat material which is stretched vertically upwards is considered. The role played by the activation energy is accounted for through an exponent form modified Arrhenius function added to the Buongiorno model for the nanofluid concentration. The effects More >

  • Open Access

    ARTICLE

    EFFECT OF ELASTIC DEFORMATION ON NANO-SECOND GRADE FLUID FLOW OVER A STRETCHING SURFACE

    R. Kalaivanana , B. Gangab , N. Vishnu Ganeshc, A.K. Abdul Hakeema,*

    Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-9, 2018, DOI:10.5098/hmt.10.20

    Abstract The main aim of the present article is to investigate the elastic deformation effects on the boundary layer flow of an incompressible second grade twophase nanofluid model over a stretching surface in the presence of suction and partial slip boundary condition. The second grade nanofluid model with elastic deformation effects is investigated for the first time. The combined effects of elastic deformation, Brownian motion and thermophoresis are also analyzed for the first time. To analyses the heat transfer, heat and mass flux boundary conditions are considered. The governing boundary layer nonlinear partial differential equations are More >

  • Open Access

    ARTICLE

    Finite Element Nonlinear Analysis for Catenary Structure Considering Elastic Deformation

    B.W. Kim1, H.G. Sung1, S.Y. Hong1, H.J. Jung2

    CMES-Computer Modeling in Engineering & Sciences, Vol.63, No.1, pp. 29-46, 2010, DOI:10.3970/cmes.2010.063.029

    Abstract This paper numerically investigates the behavior of sag and tension of inclined catenary structure considering elastic deformation. Equilibrium equation for computing elastic catenary is formulated by employing finite element method (FEM). Minimum potential energy principle and the Lagrange multiplier method are used in the formulation to derive equilibrium equation with constraint condition for catenary length. Since stiffness and loading forces of catenary are dependent on its own geometry, the equilibrium equation is nonlinear. Using the iterative scheme such as fixed point iteration or bisection, equilibrium position and tension are found. Based on the formulation, a More >

  • Open Access

    ARTICLE

    A boundary element formulation for incremental nonlinear elastic deformation of compressible solids

    Sergia Colli1, Massimiliano Gei1, Davide Bigoni1,2

    CMES-Computer Modeling in Engineering & Sciences, Vol.40, No.1, pp. 29-62, 2009, DOI:10.3970/cmes.2009.040.029

    Abstract Incremental plane strain deformations superimposed upon a uniformly stressed and deformed nonlinear elastic (compressible) body are treated by developing {\it ad hoc} boundary integral equations that, discretized, lead to a novel boundary element technique. The approach is a generalization to compressible elasticity of results obtained by Brun, Capuani, and Bigoni (2003, Comput. Methods Appl. Mech. Engrg. 192, 2461-2479), and is based on a Green's function here obtained through the plane-wave expansion method. New expressions for Green's tractions are determined, where singular terms are solved in closed form, a feature permitting the development of a optimized More >

  • Open Access

    ARTICLE

    Nonlinear Elastic and Viscoelastic Deformation of the Human Red Blood Cell with Optical Tweezers

    J. P. Mills1,1, L. Qie2,2, M. Dao1,1, C. T. Lim2,2, S. Suresh1,3

    Molecular & Cellular Biomechanics, Vol.1, No.3, pp. 169-180, 2004, DOI:10.3970/mcb.2004.001.169

    Abstract Studies of the deformation characteristics of single biological cells can offer insights into the connections among mechanical state, biochemical response and the onset and progression of diseases. Deformation imposed by optical tweezers provides a useful means for the study of single cell mechanics under a variety of well-controlled stress-states. In this paper, we first critically review recent advances in the study of single cell mechanics employing the optical tweezers method, and assess its significance and limitations in comparison to other experimental tools. We then present new experimental and computational results on shape evolution, force--extension curves, More >

  • Open Access

    ARTICLE

    Wave Scattering by 2D Smooth Topographical Elastic Deformations Caused by a Point Blast Source

    Paulo Santos, Julieta António, António Tadeu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.1, No.4, pp. 79-98, 2000, DOI:10.3970/cmes.2000.001.531

    Abstract This paper presents the three-dimensional scattering field obtained when 2D smooth topographical deformations are subjected to a dilatational point load placed at some point in the medium. The solution is formulated using boundary elements for a wide range of frequencies and spatially harmonic line loads, which are then used to obtain time series by means of (fast) inverse Fourier transforms into space-time. The topographical surface is modeled with a number of boundary elements, defined according to the excitation frequency of the harmonic source, and in such a way that the free surface can be discretized More >

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