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  • 1
    Electronic Resource
    Electronic Resource
    General solution technique for transient thermoelasticity of transversely isotropic solids in Cartesian coordinates (1992)
    Springer
    Archive of applied mechanics 62 (1992), S. 291-305 
    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 Vorgeschlagen wird ein neues, allgemeines Verfahren zur Lösung transienter thermoelastischer Probleme transversal-isotroper Körper in kartesischen Koordinaten. Das Lösungsverfahren besteht aus fünf Fundamentallösungen und kann unter Berücksichtigung der Beziehungen zwischen den Materialkonstanten der Transversal-Isotropie in fünf Gruppen eingeteilt werden Eine Gruppe entspricht dem Goodierschen thermoelastischen Potential bzw. der verallgemeinerten Boussinesq-Lösung und der Mitchell-Funktion. Als Anwendung dieses Lösungsverfahrens wird ein inverses transient thermoelastisches Problem des transversal-isotropen, unendlichen Halbraumes untersucht.
    Notes: Summary In the present paper we propose a new general solution technique for transient thermoelastic problems of transversely isotropic solids in Cartesian coordinates. The solution technique consists of five fundamental solutions. By considering the relations among the material constants of transverse isotropy, the solution technique is classified into five groups. One among those corresponds to Goodier's thermoelastic potential function as well as the generalized Boussinesq solutions and the Michell function. For an application of the solution technique, an inverse problem of transient thermoelasticity in a transversely isotropic semi-infinite solid is analyzed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00788637
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  • 2
    Electronic Resource
    Electronic Resource
    Stress intensity factors for external and penny-shaped cracks in transversely isotropic cylinders subjected to thermal shock (1994)
    Springer
    Archive of applied mechanics 64 (1994), S. 383-394 
    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 In der vorliegenden Arbeit werden die Spannungsintensitätsfaktoren für zwei thermische Schockprobleme in transversal isotropen Zylindern diskutiert, die entweder einen Umfangriß oder einen kreisförmigen Innenriß enthalten. Das Wärmespannungsfeld wird erst mit Hilfe eines Potentialfunktionenansatzes für transversal isotrope Körper analysiert und die Randbedingungen durch sukzessive Approximationen in Verbindung mit Fourierintegralen und Reihen von Besselfunktionen erfüllt. Numerische Lösungen werden ermittelt für die Spannungsintensitätsfaktoren von Rissen in Zylindern aus transversal isotropem Berylliumoxid. Ihr zeitliches Maximum wird durch eine geeignete Funktion der Biotzahl und der Rißlänge approximiert.
    Notes: Summary The paper discusses stress intensity factors for two thermal shock problems in transversely isotropic cylinders which contain either an external annular crack or a pennyshaped crack. The thermal stress field is analyzed by means of the potential function method for transversely isotropic solids. A method of successive approximation together with the Fourier integral and the Bessel series are used to satisfy the boundary conditions. Numerical calculations of the stress intensity factors are carried out for a beryllium oxide cylinder, which possesses transverse isotropy. The maximum stress intensity factors with respect to a time variable are approximated by a function of Biot's number and crack length.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00788410
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Transient piezothemoelasticity of a hexagonal plate of class 6 mm (1994)
    Springer
    Archive of applied mechanics 65 (1994), S. 24-37 
    Details
    ISSN: 1432-0681
    Keywords: Piezothermoelasticity ; hexagonal plate ; unsteady state ; potential functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary Piezoelastic materials entail piezoelectric polarization that is directly proportional to the applied strain. Therefore, piezoelastic materials have recently attracted considerable attention because of their potential use in intelligent structural systems. In this paper, we treat a transient problem of piezothermoelasticity in a hexagonal plate of class 6 mm subjected to transient temperature change. We analyze the transient problem by use of the potential function method, which can separate the coupling between the thermoelastic and electric fields. Numerical calculations for the transient problem are carried out for a cadmium selenide solid, and the results are presented graphically in comparison with those for a steady problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00788891
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    A crack in functionally gradient materials under thermal shock (1994)
    Springer
    Archive of applied mechanics 64 (1994), S. 99-110 
    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 Die Arbeit behandelt das Problem zweier beschichteter Platten aus einem Funktionalgradientenmaterial mit einem Riß entlang der Verbindungsfläche unter einer thermischen Schockbeanspruchung. Die Materialeigenschaften hängen exponentiell vom Abstand von der Bruchlinie ab. Durch kombinierte Anwendung der Laplace- und der Fourier-Transformation wird das Problem auf eine singuläre Integralgleichung reduziert, die numerisch gelöst wird. Daraufhin wird der Spannungsintensitätsfaktor als Funktion der Zeit für mehrere Sätze von Materialkonstanten berechnet. Es zeigt sich, daß der Spannungsintensitätsfaktor durch eine geeignete Wahl der Materialkonstanten beträchtlich reduziert werden kann.
    Notes: Summary This paper deals with the problem of two bonded semi-infinite functionally gradient material plates with a crack at the interface under thermal shock loading conditions. All material properties are supposed to be exponentially dependent on the distance from the crack line. By using both the Laplace transform and the Fourier transform, the problem is reduced to a singular integral equation which is solved numerically. The stress intensity factor versus time for various material constants is calculated. The results show that by selecting the material constants appropriately, the stress intensity factor can be lowered substantially.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00789101
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  • 5
    Electronic Resource
    Electronic Resource
    Transient temperature response in functionally gradient materials (1993)
    Springer
    International journal of thermophysics 14 (1993), S. 101-121 
    Details
    ISSN: 1572-9567
    Keywords: functionally gradient material (FGM) ; multilayered material ; pulsewise heating method ; stepwise heating method ; thermal diffusivity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The temperature response in functionally gradient materials (FGM), subjected to pulseor stepwise heating at the front surface, is evaluated. Applicability of the approximate solution for the temperature response is investigated by comparing it with an exact analytical solution for the FGM in which thermophysical properties have certain profiles. When the FGM is composed of conventional solid materials, appropriateness of the approximate solution for the FGM is demonstrated as far as the temperature response near the rear surface is concerned. The approximate solution is also compared with the solution for the multilayered material. It is shown that an eight-layered material can be regarded as an FGM, as far as the temperature response at the rear surface is concerned, and that the approximate solution can predict the temperature response within 6% error. Because of its simplicity and fair degree of agreement, the approximate solution is anticipated to be used not only for qualitative but also for quantitative prediction of the temperature response near the rear surface of the FGM in engineering applications.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00522665
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  • 6
    Electronic Resource
    Electronic Resource
    General solution technique for transient thermoelasticity of transversely isotropic solids in cylindrical coordinates (1993)
    Springer
    Acta mechanica 101 (1993), S. 215-230 
    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 Goodier has proposed the thermoelastic potential function in order to analyze thermoelastic problems for isotropic solids. The thermoelastic problem can be reduced to the elastic problem by his technique. Elastic problems are in general analyzed by the generalized Boussinesq solutions and the Michell function. This paper discusses a new solution technique for thermoelastic problems of transversely isotropic solids in cylindrical coordinates. The present solution technique consists of five fundamental solutions which are developed from the Goodier's thermoelastic potential function, the generalized Boussinesq solutions and the Michell function. Considering the relations among the material constants of transverse isotropy, the present solution technique can be classified into two cases. One of them can be reduced to the three solution techniques above which are specifically for isotropic solids only. As an application of the present solution technique, a transient thermoelastic problem in a transversely isotropic cylinder with an external crack is analyzed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01175607
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    Paper (German National Licenses)
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