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  • World Scientific Pub Co Pte Ltd  (7)
  • 1
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2022
    In:  Journal of Mechanics in Medicine and Biology Vol. 22, No. 07 ( 2022-09)
    In: Journal of Mechanics in Medicine and Biology, World Scientific Pub Co Pte Ltd, Vol. 22, No. 07 ( 2022-09)
    Abstract: Chiral growth is ubiquitous in nature and has always been of great interest in the field of biomimetic and man-made materials, but its formation mechanism is complex. In order to clarify this mechanism, with the help of the plate theory and the theory from differential geometry, we established a new theoretical model that can be used to describe the interaction between anisotropic elasticity and anisotropic residual stress of slender biomaterials and provide additional insight onto the mechanical mechanism of biomaterial’s morphological chiral growth. Based on these results, it appears that misfit of material properties and residual stresses may create various chiral morphologies, like helices and twisting belts. It is found here that the cooperative and competitive interactions between anisotropic elasticity and anisotropic residual stress can also give rise to chiral morphologies, and macro shapes, sizes, and handedness of chiral morphologies can be designed by residual stresses orientation angles and elastic parameters of biomaterials. This theoretical model is in good agreement with the recent experiments and can provide theoretical guidance for the design of medical-assisted soft robots.
    Type of Medium: Online Resource
    ISSN: 0219-5194 , 1793-6810
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2022
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  • 2
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2023
    In:  Journal of Mechanics in Medicine and Biology Vol. 23, No. 01 ( 2023-02)
    In: Journal of Mechanics in Medicine and Biology, World Scientific Pub Co Pte Ltd, Vol. 23, No. 01 ( 2023-02)
    Type of Medium: Online Resource
    ISSN: 0219-5194 , 1793-6810
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2023
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  • 3
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2019
    In:  International Journal of Computational Methods Vol. 16, No. 06 ( 2019-09), p. 1840031-
    In: International Journal of Computational Methods, World Scientific Pub Co Pte Ltd, Vol. 16, No. 06 ( 2019-09), p. 1840031-
    Abstract: In this paper, an edge-based smoothed finite element method with the discrete shear gap using triangular elements (ES-DSG3) is presented for static, free vibration and sound radiation analyses of plates stiffened by eccentric and concentric stiffeners. In the present model, the ES-DSG3 for the plate element with the isoparametric thick-beam element is employed to formulate stiffened plate structures. The deflections and rotations of the plates and the stiffeners are connected at tying positions. By using Rayleigh integral, sound radiation of stiffened plates subjected to a point load can be obtained. The edge-based gradient smoothing technique is employed to perform the related numerical integrations over the edge-based smoothing domains. Compared with the original DSG3 model, the present ES-DSG3 model is relatively softer as a result of the edge-based gradient smoothing technique. From several numerical examples, it is observed that the ES-DSG3 can produce more accurate numerical solutions than the original DSG3 for stiffened plates.
    Type of Medium: Online Resource
    ISSN: 0219-8762 , 1793-6969
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2019
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  • 4
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2018
    In:  International Journal of Computational Methods Vol. 15, No. 05 ( 2018-08), p. 1850029-
    In: International Journal of Computational Methods, World Scientific Pub Co Pte Ltd, Vol. 15, No. 05 ( 2018-08), p. 1850029-
    Abstract: In this work, the smoothed finite element method using four-node quadrilateral elements (SFEM-Q4) is employed to resolve underwater acoustic radiation problems. The SFEM-Q4 can be regarded as a combination of the standard finite element method (FEM) and the gradient smoothing technique (GST) from the meshfree methods. In the SFEM-Q4, only the values of shape functions (not the derivatives) at the quadrature points are needed and the traditional requirement of coordinate transformation procedure is not necessary to implement the numerical integration. Consequently, no additional degrees of freedom are required as compared with the original FEM. In addition, the original “overly-stiff” FEM model for acoustic problems (governed by the Helmholtz equation) is properly softened due to the gradient smoothing operations implemented over the smoothing domains and the present SFEM-Q4 possesses a relatively appropriate stiffness of the continuous system. Therefore, the well-known numerical dispersion error for Helmholtz equation is decreased significantly and very accurate numerical solutions can be obtained by using relatively coarse meshes. In order to truncate the unbounded domains and employ the domain-based numerical method to tackle the acoustic radiation in unbounded domains, the Dirichlet-to-Neumann (DtN) map is used to ensure that there are no spurious reflections from the far field. The numerical results from several numerical examples demonstrate that the present SFEM-Q4 is quite effective to handle acoustic radiation problems and can produce more accurate numerical results than the standard FEM.
    Type of Medium: Online Resource
    ISSN: 0219-8762 , 1793-6969
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2018
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  • 5
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2021
    In:  International Journal of Computational Methods Vol. 18, No. 03 ( 2021-04), p. 2041002-
    In: International Journal of Computational Methods, World Scientific Pub Co Pte Ltd, Vol. 18, No. 03 ( 2021-04), p. 2041002-
    Abstract: To improve the accuracy of the standard finite element (FE) solutions for acoustic radiation computation, this work presents the coupling of a radial point interpolation method (RPIM) with the standard FEM based on triangular (T3) mesh to give a coupled “FE-Meshfree” Trig3-RPIM element for two-dimensional acoustic radiation problems. In this coupled Trig3-RPIM element, the local approximation (LA) is represented by the polynomial-radial basis functions and the partition of unity (PU) concept is satisfied using the standard FEM shape functions. Incorporating the present coupled Trig3-RPIM element with the appropriate non-reflecting boundary condition, the two-dimensional acoustic radiation problems in exterior unbounded domain can be successfully solved. The numerical results demonstrate that the present coupled Trig3-RPIM have significant superiorities over the standard FEM and can be regarded as a competitive numerical techniques for exterior acoustic computation.
    Type of Medium: Online Resource
    ISSN: 0219-8762 , 1793-6969
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2021
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  • 6
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2024
    In:  Journal of Interconnection Networks Vol. 24, No. 01 ( 2024-03)
    In: Journal of Interconnection Networks, World Scientific Pub Co Pte Ltd, Vol. 24, No. 01 ( 2024-03)
    Abstract: Given a set [Formula: see text] with [Formula: see text] , a tree [Formula: see text] is considered as a total proper [Formula: see text] -tree or a total proper tree connecting [Formula: see text] if any two adjacent or incident elements of edges and [Formula: see text] of [Formula: see text] differ in color. Let [Formula: see text] be a connected graph of order [Formula: see text], and [Formula: see text] be an integer with [Formula: see text]. A total-colored graph is total proper[Formula: see text] -tree connected if for every set [Formula: see text] of [Formula: see text] vertices, there exists a total proper [Formula: see text]-tree in [Formula: see text] . The [Formula: see text]-total-proper index of [Formula: see text] , denoted by [Formula: see text], is the minimum number of colors required to make [Formula: see text] total proper [Formula: see text]-tree connected. In this paper, we first investigate the [Formula: see text] -total-proper index of some special graphs. Moreover, we characterize the graphs with [Formula: see text]-total-proper index [Formula: see text] and [Formula: see text], respectively.
    Type of Medium: Online Resource
    ISSN: 0219-2659 , 1793-6713
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2024
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  • 7
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2023
    In:  Journal of Interconnection Networks Vol. 23, No. 03 ( 2023-09)
    In: Journal of Interconnection Networks, World Scientific Pub Co Pte Ltd, Vol. 23, No. 03 ( 2023-09)
    Abstract: The proper rainbow vertex connection number of [Formula: see text], denoted by [Formula: see text] , is the smallest number of colors needed to properly color the vertices of [Formula: see text] so that [Formula: see text] is rainbow vertex connected. The proper strong rainbow vertex connection number of [Formula: see text], denoted by [Formula: see text] , is the smallest number of colors needed to properly color the vertices of [Formula: see text] so that [Formula: see text] is strong rainbow vertex connected. These two concepts are inspired by the concept of proper (strong) rainbow connection number of graphs. In this paper, we first determine the values of [Formula: see text] and [Formula: see text] for some special graphs, such as all cubic graphs of order [Formula: see text], pencil graphs, circular ladders or Möbius ladders. Secondly, we obtain the values of [Formula: see text] and [Formula: see text] for some special graphs, such as all cubic graphs of order [Formula: see text] , paths, cycles, wheels, complete multipartite graphs, pencil graphs, circular ladders and Möbius ladders. Finally, we characterize all the connected graphs [Formula: see text] with [Formula: see text] and [Formula: see text].
    Type of Medium: Online Resource
    ISSN: 0219-2659 , 1793-6713
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2023
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