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  • 1
    Electronic Resource
    Electronic Resource
    Some studies on dual reciprocity BEM for elastodynamic analysis (1996)
    Springer
    Computational mechanics 17 (1996), S. 270-277 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The accuracy of the dual reciprocity boundary element method for two-dimensional elastodynamic interior problems is investigated. A general analytical method is described for the closed form determination of the displacement and traction tensor corresponding to radial basis functions and explicit expressions of these tensors are provided for a number of specific basis functions. For all these basis functions the accuracy of the dual reciprocity boundary element method is numerically assessed for three interior plane stress elastodynamic problems. The influence of internal points on the accuracy of the solution is also considered. Useful results concerning the suitability of the various basis functions for solving plane elastodynamic problems are obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00364830
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  • 2
    Electronic Resource
    Electronic Resource
    Some studies on dual reciprocity BEM for elastodynamic analysis (1996)
    Springer
    Computational mechanics 17 (1996), S. 270-277 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract  The accuracy of the dual reciprocity boundary element method for two-dimensional elastodynamic interior problems is investigated. A general analytical method is described for the closed form determination of the displacement and traction tensor corresponding to radial basis functions and explicit expressions of these tensors are provided for a number of specific basis functions. For all these basis functions the accuracy of the dual reciprocity boundary element method is numerically assessed for three interior plane stress elastodynamic problems. The influence of internal points on the accuracy of the solution is also considered. Useful results concerning the suitability of the various basis functions for solving plane elastodynamic problems are obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660050110
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  • 3
    Electronic Resource
    Electronic Resource
    Dynamic analysis of inelastic plates by the D/BEM (1994)
    Springer
    Computational mechanics 13 (1994), S. 276-284 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A direct boundary element method is developed for the dynamic analysis of thin inelastic flexural plates of arbitrary planform and boundary conditions. It employs the static fundamental solution of the associated elastic problem and involves not only boundary integrals but domain integrals as well. Thus boundary as well as interior elements are employed in the numerical solution. Time integration is accomplished by the explicit algorithm of the central difference predictor method. A viscoplastic constitutive theory with state variables is employed to model the material behaviour. Numerical results are also presented to illustrate quantitatively the proposed method of solution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00350229
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  • 4
    Electronic Resource
    Electronic Resource
    Three-dimensional structural vibration analysis by the Dual Reciprocity BEM (1998)
    Springer
    Computational mechanics 21 (1998), S. 372-381 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The dual reciprocity boundary element method (DR/BEM) is employed for the analysis of free and forced vibrations of three-dimensional elastic solids. Use of the elastostatic fundamental solution in the integral formulation of elastodynamics creates an inertial volume integral in addition to the boundary ones. This volume integral is transformed into a surface integral by invoking the reciprocal theorem. A general analytical method is described for the closed form determination of the particular solutions of the displacement and traction tensors corresponding to any radial basis function employed in the transformation process. The simple but effective 1+r radial basis function is used in the applications of this paper. Quadratic continuous and discontinuous 9-noded boundary elements are used in the analysis. Free vibrations are studied by solving the corresponding eigenvalue problem iteratively. Harmonic forced vibration problems are solved directly in the frequency domain. Transient forced vibration problems are solved by integrating the equations of motion stepwise with the aid of various algorithms. Interior collection points are also used for assessing the accuracy of the method. Two numerical examples involving free and forced vibrations of a sphere and a cube are presented in detail.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660050314
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  • 5
    Electronic Resource
    Electronic Resource
    Vibration isolation using open or filled trenches Part 2: 3-D homogeneous soil (1990)
    Springer
    Computational mechanics 6 (1990), S. 129-142 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The isolation of structures from ground transmitted waves by open and infilled trenches in a three-dimensional context is numerically studied. The soil medium is assumed to be elastic or viscoelastic, homogeneous and isotropic. Waves generated by the harmonic motion of a surface rigid machine foundation are considered in this work. The formulation and solution of the problem is accomplished by the boundary element method in the frequency domain. The infinite space fundamental solution is used requiring discretization of the trench surface, the soil-foundation interface and some portion of the free soil surface. The proposed methodology is first tested for accuracy by solving three characteristic wave propagation problems with known solutions and then applied to several vibration isolation problems involving open and concrete infilled trenches. Three-dimensional graphic displays of the surface displacement pattern around the trenches are also presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00350518
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  • 6
    Electronic Resource
    Electronic Resource
    Vibration isolation using open or filled trenches (1986)
    Springer
    Computational mechanics 1 (1986), S. 43-63 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The problem of structural isolation from ground transmitted vibrations by open or infilled trenches under conditions of plane strain is numerically studied. The soil medium is assumed to be linear elastic or viscoelastic, homogeneous and isotropic. Horizontally propagating Rayleigh waves or waves generated by the motion of a rigid foundation or by surface blasting are considered in this work. The formulation and solution of the problem is accomplished by the boundary element method in the frequency domain for harmonic disturbances or in conjunction with Laplace transform for transient disturbances. The proposed method, which requires a discretisation of only the trench perimeter, the soil-foundation interface and some portion of the free soil surface on either side of the trench appears to be better than either finite element or finite difference techniques. Some parametric studies are also conducted to assess the importance of the various geometrical, material and dynamic input parameters and provide useful guidelines to the design engineer.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00298637
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  • 7
    Electronic Resource
    Electronic Resource
    Vibration isolation using open or filled trenches (1990)
    Springer
    Computational mechanics 7 (1990), S. 137-148 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The problem of isolating structures from surface waves by open or filled trenches under conditions of plane strain is numerically studied. The soil is assumed to be an isotropic, linear elastic or viscoelastic nonhomogeneous (layered) half-space medium. Waves generated by the harmonic motion of a rigid surface machine foundatin are considered. The formulation and solution of the problem are accomplished by the frequency domain boundary element method. The Green's function of Kausel-Peek-Hull for a thin layered half-space is employed and this essentially requires only a discretization of the trench perimeter and the soil-foundation interface. The proposed methodology is used for the solution of a number of vibration isolation problems and the effect of soil inhomogeneity on the wave screening effectiveness of trenches is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00375927
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  • 8
    Electronic Resource
    Electronic Resource
    Flexural vibrations of fissured poroelastic plates (1993)
    Springer
    Archive of applied mechanics 63 (1993), S. 413-423 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Es werden die Gleichungen, die die Biegeschwingungen von dünnen, mit Flüssigkeit gefüllten, poroelastischen Platten beschreiben, im einzelnen hergeleitet. Das Materialverhalten der Platte wird durch die Poroelastizitätstheorie von Aifandis und Beskos für Materialien mit doppelter Porosität beschrieben, während für die Platten die Kirchhoffsche Plattentheorie angewandt wird. Man erhält auf analytisch-numerischem Weg das dynamische Verhalten einer rechteckigen, einfach gestützten, poroelastischen Platte mit doppelter Porosität bezüglich einer harmonischen Belastung. Der Einfluß der Porosität und Permeabilität auf das dynamische Verhalten wird untersucht. Weiterhin werden die Modelle für Materialien mit einfacher und doppelter Porosität miteinander verglichen. Das quasi-statische Problem wird als Spezialfall des dynamischen Problems analysiert.
    Notes: Summary The governing equations of flexural vibrations of thin, fluid-saturated, poroelastic plates are derived in detail. The plate material obeys the Aifantis-Beskos theory of poroelasticity with two degrees of porosity, while the plate theory employed is the one due to Kirchhoff. The dynamic response of a rectangular, simply supported, poroelastic plate with two degrees of porosity to harmonic load is obtained analytically-numerically and the effects of porosities and permeabilities on the response are studied. A comparison between the single and double porosity material models is also made. The quasi-static problem is analysed as as special case of the dynamic one.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00805741
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  • 9
    Electronic Resource
    Electronic Resource
    Ultrasonic velocity measurement of elastic constants of Al-CuAl2 eutectic composite (1975)
    Springer
    Journal of materials science 10 (1975), S. 109-112 
    Details
    ISSN: 1573-4803
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Ultrasonic velocity measurements were performed to determine the dynamic elastic stiffness constants of the Al-CuAl2 unidirectionally solidified eutectic, which consists of unidirectional CuAl2 platelets in an Al matrix. The phase velocity of ultrasonic waves in the eutectic was measured by the echo-overlap technique. The material was assumed to be transversely isotropic and its elastic constants, in units of 1010 dyn cm−2, are found to be: c 33=c 11=c 22=122.8, c 44=c 55=29.7, c 12=c 13=c 23=59.5, where the subscript 3 indicates the fibre direction. These results indicate that the Al-CuAl2 eutectic is almost elastically isotropic or more precisely, has cubic symmetry. The elastic moduli are used to evaluate the engineering constants of this material. The value of Young's modulus is found to be in close agreement with that measured by others in quasi-static tests.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00541037
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  • 10
    Electronic Resource
    Electronic Resource
    Universal solutions for fiber-reinforced compressible isotropic elastic materials (1972)
    Springer
    Journal of elasticity 2 (1972), S. 153-168 
    Details
    ISSN: 1573-2681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Unter Benützung inverser Methoden werden universelle Lösungen für faser-vorgespanntes, Kompressibles, isotropes, elastisches Material angegeben. Die folgenden Deformationen werden untersucht: Biegung, Zug und Schub eines rechteckigen Blockes; Ausgradung, Zug und Schub eines Sektors eines Kreisrohrausschnitts; isotrope Dehnung, Umstülpung, Erweiterung, Tordierung, Biegung und Schub eines Sektors eines Kreisrohres; isotrope Dehnung und Umstülpung einer Kugelschale. Die Bedeutung der Vorspannung und der verformten Konfiguration der Fasern wird diskutiert.
    Notes: Abstract Universal solutions for fiber-reinforced compressible isotropic elastic materials under large elastic deformations are obtained, by using inverse methods. The following deformations are investigated: bending, stretching and shearing of a rectangular block; straightening, stretching and shearing of a sector of a circular tube; inflation, eversion, extension, torsion, bending and shearing of a sector of a circular tube; inflation and eversion of a spherical shell. The significance of the reinforcement and the deformed configuration of the fibers is duscussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00125524
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