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  • 1985-1989  (5)
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  • 1
    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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    Paper (German National Licenses)
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  • 2
    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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    Paper (German National Licenses)
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  • 3
    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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    Paper (German National Licenses)
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  • 4
    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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    Paper (German National Licenses)
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  • 5
    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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    Paper (German National Licenses)
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