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  • 1
    Electronic Resource
    Electronic Resource
    Stress concentration formula useful for any dimensions of shoulder fillet in a round bar under tension and bending (2003)
    Oxford, UK : Blackwell Science, Ltd
    Fatigue & fracture of engineering materials & structures 26 (2003), S. 0 
    Details
    ISSN: 1460-2695
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: In this work stress concentration factors (SCFs), Kt for a round bar with a fillet are considered on the basis of exact solutions, now available for special cases, and accurate numerical results. Then, a convenient Kt formula useful for any dimensions of the fillet is proposed. The conclusions can be summarised as follows: (i) For the limiting cases of deep (d) and shallow (s) fillet, the body force method is used to calculate the Kt values. Then, the formula are obtained as Ktd and Kts. (ii) On the one hand, upon comparison of Kt and Ktd, it is found that Kt is nearly equal to Ktd if the fillet is deep or blunt. (iii) On the other hand, if the fillet is sharp or shallow, Kt is mainly controlled by Kts and the fillet depth. (iv) The fillet shape is classified into several groups according to the fillet radius and fillet depth. Then the least squares method is applied for calculation of Kt/Ktd and Kt/Kts. (v) Finally, a convenient formula is proposed that is useful for any dimensions of fillet in a round bar. The formula give SCFs with less than 1% error in most cases for any dimensions of fillet under tension and bending.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1046/j.1460-2695.2003.00626.x
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  • 2
    Electronic Resource
    Electronic Resource
    Crack propagation in a functionally graded plate under thermal shock (2000)
    Springer
    Archive of applied mechanics 70 (2000), S. 377-386 
    Details
    ISSN: 1432-0681
    Keywords: Key words Curved crack ; compositional profile ; thermal shock ; functionally graded material ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary Thermal cracking in a ceramic/metal functionally graded plate is discussed. When a functionally graded plate is cooled from high temperature, curved or straight crack paths are experimentally observed on the ceramic surface. One of the reasons that make the crack paths to differ are the thermal or mechanical conditions. In order to clarify the influence of these conditions on the crack path, the crack propagation is simulated using finite element method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004199900069
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  • 3
    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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  • 4
    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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  • 5
    Electronic Resource
    Electronic Resource
    Interaction between elliptical and ellipsoidal inclusions under bending stress fields (2000)
    Springer
    Archive of applied mechanics 70 (2000), S. 612-624 
    Details
    ISSN: 1432-0681
    Keywords: Key words Elasticity, body force method, singular integral equation, numerical analysis, stress concentration factor, ellipsoidal inclusion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary  This paper deals with interaction problems of elliptical and ellipsoidal inclusions under bending, using singular integral equations of the body force method. The problems are formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where unknown functions are densities of body forces distributed in the x,y and r,θ,z directions in infinite bodies having the same elastic constants as those of the matrix and inclusions. In order to satisfy the boundary conditions along the elliptical and the ellipsoidal boundaries, the unknown functions are approximated by a linear combination of fundamental density functions and polynomials. The present method is found to yield the exact solutions for a single elliptical or spherical inclusion under a bending stress field. It yields rapidly converging numerical results for interface stresses in the interaction of inclusions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004190000093
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  • 6
    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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  • 7
    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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  • 8
    Electronic Resource
    Electronic Resource
    MD simulation of atom-order void formation in Ni fcc metal (2000)
    Springer
    Computational mechanics 26 (2000), S. 281-287 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Atom-order void formation in a defective crystalline material is studied by using molecular dynamics method (MD). Infinite long cylinder, which is constructed with nickel atoms with a line of vacancies, is subjected to multiaxial tensile strain field by moving periodic boundary and the atoms on the outer surface of the cylinder. When the load exceeds a critical value, sudden appearance of the void is observed and it develops rapidly. The developed void does not disappear by only unloading and relaxation, in spite of the system with the void has higher potential energy than that without void. The biaxial or the triaxial load is necessary to the atom order void formation. Moreover, the results by the MD simulations are compared with theoretical solution for nonlinear elastic solid.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660000155
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  • 9
    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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  • 10
    Electronic Resource
    Electronic Resource
    Edge crack problem in a semi-infinite FGM plate with a bi-directional coefficient of thermal expansion under two-dimensional thermal loading (2000)
    Springer
    Acta mechanica 144 (2000), S. 211-229 
    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 temperature distribution in structural elements in practical cases usually changes in two or three directions. Based on such facts, aiming at more effectiveness, a functionally graded material (FGM), whose properties change in two or three directions, is introduced, that investigated here called bi-directional FGM. The current study aims at the formulation, solution and investigation of a semiinfinite edge cracked FGM plate problem with a bi-directional coefficient of thermal expansion under two-dimensional thermal loading. The solution of the boundary value problem that one obtains from the mathematical formulation of the current crack problem under thermal loading reduces to an integral equation with a generalized Cauchy kernel. This integral equation contains many two-dimensional double strongly singular integrals, which can be solved numerically. In order to separate the singular terms and overcome the divergence of the integrals an asymptotic analysis for the singular parts in the obtained integral equation was carried out. Also, the exact solution for many singular integrals is obtained. The obtained numerical results are used in the representation of the thermal stress intensity factor versus the thermal/mechanical nonhomogeneous parameters. The numerical results show that it is possible to reduce and control the thermal stress intensity factor.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01170176
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