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  • 1990-1994  (4)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Archive of applied mechanics 62 (1992), S. 291-305 
    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
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Archive of applied mechanics 64 (1994), S. 383-394 
    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
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Archive of applied mechanics 65 (1994), S. 24-37 
    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
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  • 4
    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
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