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  • 11
    Electronic Resource
    Electronic Resource
    Inflation bending extension and azimuthal shearing of a fiber-reinforced elastic sector of a circular tube (1977)
    Springer
    Acta mechanica 26 (1977), S. 159-170 
    Details
    ISSN: 1619-6937
    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 Allgemeine Lösungen dieses Problems werden durch Umkehrmethoden erhalten. Der Werkstoff wird isotrop und nichtlinear-elastisch, kompressible oder inkompressibel vorausgesetzt, mit Faserverstärkung inR- oder Θ- oderZ-Richtung oder in einer Schar oder in zwei Scharen schraubenförmig. Oberflächenspannungen und die der Deformation entsprechenden Kräfte werden bestimmt. Diskutiert wird die Verstärkung des Körpers durch die Fasern, das Vorzeichen der Normalkraft in den Fasern und die verformte Gestalt der Fasern.
    Notes: Summary Universal solutions for the deformation of inflation, bending, extension and azimuthal shearing of a fiber-reinforced sector of a circular tube are obtained by inverse methods. The material is assumed to be isotropic and non-linear elastic, incompressible or compressible. The reinforcement consists of inextensible fibers along theR or Θ orZ directions or in one or two sets of helical path. The surface tractions and the corresponding forces to support the deformation are determined. A discussion is made about the strengthening of the material due to the reinforcement, the sign of the tension in the fibers and the deformed configuration of the fibers.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01177143
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  • 12
    Electronic Resource
    Electronic Resource
    Flexural vibrations of poroelastic plates (1994)
    Springer
    Acta mechanica 103 (1994), S. 191-203 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The governing equations of flexural vibrations of thin, fluid-saturated poroelastic plates are derived in detail. The plate material obeys Biot's theory of poroelasticity with one degree of porosity, while the plate theory employed is the one due to Kirchhoff. These governing equations are compared with the corresponding ones for thermoelastic plates and a poroelastic-thermoelastic analogy for flexural plate dynamics is established in the frequency domain. The dynamic response of a rectangular, simply supported, poroelastic plate to harmonic load is obtained analytically-numerically and the effects of inertia as well as of porosity and permeability on the response is assessed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01180226
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  • 13
    Electronic Resource
    Electronic Resource
    Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity (1989)
    Springer
    Acta mechanica 76 (1989), S. 89-104 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary A system of boundary integral equations is derived for Biot's full equations of dynamic poroelasticity in the Laplace transformed domain starting from first principles. These equations give the displacement vector in both the solid and fluid phases in terms of surface tractions and displacements, as well as in terms of any non-zero initial conditions and body forces. The fundamental solutions for instantaneous point body forces acting in each of the two phases are found in closed form by exploiting the use of four scalar potentials that reduce the problem to two decoupled second-order systems in the Laplace transformed domain. Finally, a parallel is drawn between dynamic poroelasticity and dynamic thermoelasticity by discovering analogies between the variables and material constants of each case.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01175798
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  • 14
    Electronic Resource
    Electronic Resource
    Dynamic behavior of saturated poroviscoelastic media (1992)
    Springer
    Acta mechanica 95 (1992), S. 185-195 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The Vardoulakis-Beskos model for the dynamics of nearly and fully saturated poroelastic soils and the Aifantis-Beskos model for the dynamics of fully saturated, fissured, poroelastic rocks are here extended to include viscoelastic material behavior. Linear hereditary isotropic viscoelasticity of the relaxation type for the solid phase is considered. Correspondence principles are established for both models in the Laplace transformed domain. The one-dimensional dynamic column problem associated with both of the above proroviscoelastic soil and rock models is solved by an analytical-numerical procedure to illustrate the theory and assess the effect of viscoelasticity on the response.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01170812
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  • 15
    Electronic Resource
    Electronic Resource
    Numerical operational methods for time-dependent linear problems (1982)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 1829-1854 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A general and systematic discussion on the use of the operational method of Laplace transform for numerically solving complex time-dependent linear problems is presented. Application of Laplace transform with respect to time on the governing differential equations as well as the boundary and initial conditions of the problem reduces it to one independent of time, which is solved in the transform domain by any convenient numerical technique, such as the finite element method, the finite difference method or the boundary integral equation method. Finally, the time domain solution is obtained by a numerical inversion of the transformed solution. Eight existing methods of numerical inversion of the Laplace transform are systematically discussed with respect to their use, range of applicability, accuracy and computational efficiency on the basis of some framework vibration problems. Other applications of the Laplace transform method in conjunction with the finite element method or the boundary integral equation method in the areas of earthquake dynamic response of frameworks, thermaliy induced beam vibrations, forced vibrations of cylindrical shells, dynamic stress concentrations around holes in plates and viscoelastic stress analysis are also briefly described to demonstrate the generality and advantages of the method against other known methods.
    Additional Material: 12 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620181207
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  • 16
    Electronic Resource
    Electronic Resource
    Dynamic response of rigid strip-foundations by a time-domain boundary element method (1986)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 23 (1986), S. 1547-1565 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The dynamic response of rigid strip-foundations placed on or embedded in a homogeneous, isotropic, linear elastic half-space under conditions of plane strain to either external forces or obliquely incident seismic waves of arbitrary time variation is numerically obtained. The above mixed boundary-value problems are treated by the time domain boundary element method which is used in a step-by-step timewise fashion to provide the foundation response to a rectangular impulse. Numerical examples are presented in detail to demonstrate the use and importance of the proposed method. The method appears to be more advantageous than frequency domain techniques, because it provides the transient foundation response in a natural and direct way and can form the basis for extension to the non-linear case.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620230810
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  • 17
    Electronic Resource
    Electronic Resource
    Dynamic stress concentration studies by boundary integrals and Laplace transform (1981)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 17 (1981), S. 573-599 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The dynamic stress field and its concentrations around holes of arbitrary shape in infinitely extended bodies under plane stress or plane strain conditions are numerically determined. The material may be linear elastic or viscoelastic, while the dynamic load consists of plane compressional waves of harmonic or general transient nature. The method consists of applying the Laplace transform with respect to time to the governing equations of motion and formulating and solving the problem numerically in the transfomed domain by the boundary integral equation method. The stress field can then be obtaind by a numerical inversion of the trasformed solution. The correspondence principle is invoked for the case of viscoelastic material behavious. The method is simplified for the case of harmonic waves where no numerical inversion is involved.
    Additional Material: 21 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620170407
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  • 18
    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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  • 19
    Electronic Resource
    Electronic Resource
    Dynamic universal solutions for fiber-reinforced incompressible isotropic elastic materials (1976)
    Springer
    Journal of elasticity 6 (1976), S. 353-367 
    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: Résumé Nous avons considéré l'effet d'un renforcement par fibre sur l'universalité dynamique des familles de mouvement suivant: courbage et cisaillement d'un bloc rectangulaire; redressement et cisaillement d'un secteur de tube circulaire; gonflement, retournement, allongement, courbage et cisaillement d'un secteur de tube circulaire; gonflement, allongement, courbage et cisaillement azimuthal d'un secteur de tube circulaire.
    Notes: Abstract We consider the effect of a fiber-reinforcement on the dynamic universality of the following families of motions: bending and shearing of a rectangular block; straightening and shearing of a sector of a circular tube; inflation, eversion, extension, bending and shearing of a sector of a circular tube; inflation, extension, bending and azimuthal shearing of a sector of a circular tube.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00040897
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  • 20
    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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