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  • Open Access

    ARTICLE

    Modelling of Interfaces in Biomechanics and Mechanobiology

    J. M. García-Aznar1,2, M. A. Pérez1,2, P. Moreo1,3

    CMES-Computer Modeling in Engineering & Sciences, Vol.48, No.3, pp. 271-302, 2009, DOI:10.3970/cmes.2009.048.271

    Abstract There are many interfaces between biological materials with a structural functionality, where their mechanical behaviour is crucial for their own performance. Advanced tools such as cohesive surface models are being used to simulate the failure and degradation of this kind of biological interactions. The goal of this paper, in a first step, is to present some cohesive surface models that include damage and repair in interfaces and its application to different biomechanical problems. Secondly, we discuss about the main challenges that we have to improve in the modelling of interfaces for a mechanobiological approach. More >

  • Open Access

    ARTICLE

    Linear Interface Crack under Plane Shear Wave

    M.V. Menshykova1, O.V. Menshykov, I.A. Guz

    CMES-Computer Modeling in Engineering & Sciences, Vol.48, No.2, pp. 107-120, 2009, DOI:10.3970/cmes.2009.048.107

    Abstract The study is devoted to the problem for a linear crack located between two dissimilar elastic half-spaces under normally incident time-harmonic plane shear wave. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The distributions of the displacements and tractions at the bonding interface and the surface of the crack are analysed. The dynamic stress intensity factors (the opening and the transverse shear modes) are computed as functions of the frequency of the incident wave for different material properties. More >

  • Open Access

    ARTICLE

    A Discontinuous Galerkin Meshfree Modeling of Material Interface

    Dongdong Wang1,2, Yue Sun2, Ling Li2

    CMES-Computer Modeling in Engineering & Sciences, Vol.45, No.1, pp. 57-82, 2009, DOI:10.3970/cmes.2009.045.057

    Abstract A discontinuous Galerkin meshfree formulation is proposed to solve the potential and elasticity problems of composite material where the material interface has to be appropriately modeled. In the present approach the problem domain is partitioned into patches or sub-domains and each patch holds the same material properties. The discretized meshfree particles within a patch are classified as one particle group. Various patches occupied by different particle groups are then linked using the discontinuous Galerkin formulation where an averaged interface flux or traction is constructed based on the fluxes or tractions computed from the adjacent patches. More >

  • Open Access

    ARTICLE

    Micromechanical analysis of aligned and randomly oriented whisker-/ short fiber-reinforced composites

    S.H. Pyo1, H.K. Lee1,2

    CMES-Computer Modeling in Engineering & Sciences, Vol.40, No.3, pp. 271-306, 2009, DOI:10.3970/cmes.2009.040.271

    Abstract This paper presents a micromechanical approach for predicting the elastic and multi-level damage response of aligned and randomly oriented whisker-/ short fiber-reinforced composites. Based on a combination of Eshelby's micromechanics and the evolutionary imperfect interface approach, the effective elastic moduli of the composites are derived explicitly. The modified Eshelby's tensor for spheroidal inclusions with slightly weakened interface [Qu (1993b)] is extended in the present study to model whiskers or short fibers having mild or severe imperfect interfaces. Aligned and random orientations of spheroidal reinforcements are considered. A multi-level damage model in accordance with the Weibull's More >

  • Open Access

    ARTICLE

    Intensity of stress singularity at a vertex and along the free edges of the interface in 3D-dissimilar material joints using 3D-enriched FEM

    W. Attaporn1, H. Koguchi2

    CMES-Computer Modeling in Engineering & Sciences, Vol.39, No.3, pp. 237-262, 2009, DOI:10.3970/cmes.2009.039.237

    Abstract In the present study, a stress singularity field along free edges meeting at a corner in a three-dimensional joint structure is investigated. The order of stress singularity is determined using an eigen analysis based on a finite element method. Intensities of stress singularity not only at the corner but also along the free edge of interface are determined directly without any post-processing by a new FEM formulation referred to as a three-dimensional enriched FEM. Result in the present analysis is also compared with that in another numerical method. It was slightly larger than the intensity More >

  • Open Access

    ARTICLE

    3D Numerical Modeling of Soluble Surfactant at Fluidic Interfaces Based on the Volume-of-Fluid Method

    A. Alke1, D. Bothe1

    FDMP-Fluid Dynamics & Materials Processing, Vol.5, No.4, pp. 345-372, 2009, DOI:10.3970/fdmp.2009.005.345

    Abstract We present a computational approach based on the Volume-of-Fluid (VOF) method for simulating the influence of a soluble surfactant on the behavior of two-phase systems with deformable interface. Our approach is applicable to diffusion controlled processes, where the relation between the area-specific excess surfactant concentration on the interface and the volume-specific concentration adjacent to the interface is given by an adsorption isotherm. Main issues of the numerical model are an extended surface transport theorem used for describing the interfacial flux and an iso-surface of the VOF-variable used as a connected approximation for the interface. 3D-simulations More >

  • Open Access

    ARTICLE

    On the Behavior of an Interface under Molecular Diffusion: A Theoretical Prediction and Experimental Study

    R. Abdeljabar1

    FDMP-Fluid Dynamics & Materials Processing, Vol.5, No.2, pp. 193-210, 2009, DOI:10.3970/fdmp.2009.005.193

    Abstract A theoretical model has been developed to predict the expansion of a salty gradient (i.e. the interface) layer under natural diffusion. The salty gradient layer is initially sandwiched between two homogeneous miscible layers of varying salinity, which may or may not have the same thickness. The model describes the concentration profile of the salty gradient layer (expressed by analytical solutions of the diffusion equation) as the boundaries of this interfacial layer move into the adjacent (hitherto homogeneous) regions. The lifetime of the adjacent layers is also predicted. An experimental study for a configuration with salty More >

  • Open Access

    ARTICLE

    Nanobubbles at Water-Solid Interfaces: Calculation of the Contact Angle Based on a Simple Model

    H. Elnaiem1, D. Casimir1, P. Misra1, S.M. Gatica1,2

    CMC-Computers, Materials & Continua, Vol.14, No.1, pp. 23-34, 2009, DOI:10.3970/cmc.2009.014.023

    Abstract Nanobubbles have been found to form at the interface of water and solid surfaces. We examine the conditions for such bubbles to form and estimate the pressure inside the bubble based on thermodynamic considerations. Using a simple model we calculate the contact angle for a wide range of temperatures and hypothetical substrates possessing a continuous range of strengths. We show that as the temperature increases the shape of a bubble changes continuously from a spherical cap with low curvature to a complete sphere. An equivalent effect results from either increasing the strength of the solid More >

  • Open Access

    ARTICLE

    Interfaces Between two Dissimilar Elastic Materials

    Chyanbin Hwu1, T.L. Kuo, Y.C. Chen

    CMC-Computers, Materials & Continua, Vol.11, No.3, pp. 165-184, 2009, DOI:10.3970/cmc.2009.011.165

    Abstract In this paper the near tip solutions for interface corners written in terms of the stress intensity factors are presented in a unified expression. This single expression is applicable for any kinds of interface corners including corners and cracks in homogeneous materials as well as interface corners and interface cracks lying between two dissimilar materials, in which the materials can be any kinds of linear elastic anisotropic materials or piezoelectric materials. Through this unified expression of near tip solutions, the singular orders of stresses and their associated stress/electric intensity factors for different kinds of interface More >

  • Open Access

    ARTICLE

    Electroelastic Problem of Two Anti-Plane Collinear Cracks at the Interface of Two Bonded Dissimilar Piezoelectric Layers

    B. M. Singh, J. Rokne, R. S. Dhaliwal1

    Structural Durability & Health Monitoring, Vol.4, No.2, pp. 95-106, 2008, DOI:10.3970/sdhm.2008.004.095

    Abstract Under the permeable electric boundary condition the problem of two collinear anti-plane shear cracks situated at the interface of two bonded dissimilar piezoelectric layers is considered. It is assumed that applied longitudinal shear stress and electric loading at the layer surfaces are prescribed. By the use of Fourier transforms we reduce the problem to solving a set of triple integral equations with a cosine kernel. The triple integral equations are further reduced to a Fredholm integral equation of the second kind whose iterative solution has been obtained. Analytical expressions for the stress intensity factors are More >

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