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  • 1
    Electronic Resource
    Electronic Resource
    Transient thermoelastic contact problem of a transversely isotropic cylinder (1988)
    Springer
    Archive of applied mechanics 58 (1988), S. 241-251 
    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 Behandelt wird ein transientes thermoelastisches Kontaktproblem eines transversal-isotropen unendlichen Zylinders, der in einen geheizten starren Ring eingesetzt wird. Der Wärmeübergang in der Kontaktfläche und der freien Oberfläche seien verschieden. Bei der Lösung der instationären dreidimensionalen Wärmeleitungsgleichung wird bezüglich der Zeit eine Finite-Differenzen-Formulierung benutzt. Die Wärmespannungen werden nach der Potentialfunktionen-Methode im transversalisotropen Fall ermittelt. Radial-, Umfangs- und Axialspannung weisen am Ende der Kontaktzone Singularitäten auf, die durch eingeführte Spannungskonzentrationsfaktoren beschrieben werden.
    Notes: Summary This paper concerns a transient thermoelastic contact problem in a transversely isotropic infinite cylinder inserted into a heated rigid ring. It is assumed that the heat transfer coefficient at the bonded surface is different from the coefficient at the traction-free boundary surface. A finite difference formulation with respect only to time is used to solve the three-dimensional transient heat conduction equation for the temperature field. The thermal stress field is analyzed by means of the transversely isotropic potential function method. The radial, hoop and axial stresses have singularities at the end of the contact surface. The concentration factors that may be used to evaluate the strength of the stress singularities are introduced.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00535934
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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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  • 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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  • 4
    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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  • 5
    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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  • 6
    Electronic Resource
    Electronic Resource
    Stress intensity factor for transient thermal stresses in an infinite elastic solid containing an annular crack (1988)
    Springer
    Archive of applied mechanics 58 (1988), S. 1-8 
    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 Untersucht werden die transienten WÄrmespannungen in einem unendlichen elastischen Körper, der einen ringförmigen Ri\ enthÄlt. Das elastische Medium wird durch eine zeit- und ortsabhÄngige Temperaturverteilung auf der Ri\oberflÄche gekühlt. Da es schwierig ist, eine analytische Lösung für die Temperatur anzugeben, wird bezüglich der Zeit die Finite-Differenzen-Methode angewandt. Dann kann bezüglich der Ortskoordinaten eine analytische Lösung für die Temperatur in Form einer dualen Integralgleichung angegeben werden. Die SpannungsintensitÄtsfaktoren werden numerisch berechnet.
    Notes: Summary The present paper treats the transient thermal stress problem in an infinite, isotropic solid containing an annular crack. The elastic medium is cooled by time and position dependent temperature on the annular crack surface. It is very difficult to obtain the analytical expression for the temperature so that we use the finite difference method solely with respect to a time variable. Thus, the analytical solution for the temperature with respect to the spatial variables reduces to a dual integral equation. Results for the stress intensity factors are obtained numerically.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00537194
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  • 7
    Electronic Resource
    Electronic Resource
    Transient thermal stresses in a transversely isotropic semi infinite circular cylinder with an asymmetric temperature distribution on the end surface and a convective heat loss (1986)
    Springer
    Archive of applied mechanics 56 (1986), S. 71-80 
    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 dieser Arbeit wird das dreidimensionale Wärmespannungsproblem in einem transvers-isotropen, halbunendlichen Kreiszzylinder mit asymmetrischer Temperaturverteilung an der Stirnfläche und mit Wärmestrahlung untersucht. Dabei wird eine modifizierte Potentialfunktionsmethode angewendet. In einem numerischen Beispiel werden die Temperatur- und die Spannungsverteilungen für Graphit berechnet und mit dem isotropen Fall verglichen. Der Einfluß von verschiedener Erwärmung auf die Temperatur und die Wärmespannungen wird ebenfalls angegeben.
    Notes: Summary In this paper, the three-dimensional transient thermal stress problem in a transversely isotropic semi-infinite circular cylinder subjected to an asymmetric temperature distribution on the end surface and convective heat losses into the surrounding medium from the surfaces is analyzed by means of the modified transversely isotropic potential function method. As a numerical example, the temperature and thermal stress distributions are calculated for a graphite which belongs under a transverse isotropy, and compared with those for isotropy. The effects of various heating conditions on the temperature and thermal stresses are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00533574
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  • 8
    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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  • 9
    Electronic Resource
    Electronic Resource
    A three-dimensional treatment of transient thermal stresses in a transversely isotropic semi-infinite circular cylinder subjected to an asymmetric temperature on the cylindrical surface (1986)
    Springer
    Acta mechanica 58 (1986), S. 175-191 
    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 This paper deals with a three-dimensional transient thermal stress problem in a transversely isotropic semi-infinite circular cylinder subjected to an asymmetrical temperature on the cylindrical surface and a convective heat loss on the surfaces. In analyzing the problem, the generalized Fourier transform to a temperature and the modified transversely isotropic potential functions method to stresses are used. For the numerical example, the temperature and the thermal stresses are calculated for a grafite which belongs under a transverse isotropy, and compared with the values under isotropic conditions. The effects of the various anisotropies of the material properties on the temperature and the thermal stresses are studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176598
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  • 10
    Electronic Resource
    Electronic Resource
    Stress intensity factor for transient thermal stresses in a transversely isotropic infinite body with an external circular crack (1987)
    Springer
    Acta mechanica 66 (1987), S. 217-231 
    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 present work deals with the transient thermal stress in a transversely isotropic infinite body with an external circular crack. The surface cooling of the crack depends on position and time. Since it it usually very difficult to obtain an analytical solution for the temperature field, a finite difference formulation with respect to a tive variable is introduced. In the first step, applying this method to the general heat conduction equation in an orthotropic body, a very compact difference equation with respect to the spatial variables is obtained. In the second step, this method is applied to the transient thermoelastic problem in a transversely isotropic infinite body with an external circular crack subjected to heat exchange on the crack surface. Thermal stresses are analyzed by means of the transversely isotropic potential functions method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01184295
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