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  • 1
    Electronic Resource
    Electronic Resource
    Green function and its application for a piezoelectric plate with various openings (1999)
    Springer
    Archive of applied mechanics 69 (1999), S. 133-144 
    Details
    ISSN: 1432-0681
    Keywords: Key words Piezoelectric plate ; Green function ; crack ; stress intensity factor ; integral equation method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary For a two-dimensional piezoelectric plate subjected to mechanical and electric load, a Green function satisfying traction free and exact electric boundary conditions along a hole is developed using Lekhnitskii's formalism and the technique of conformal mapping. The critical points for the mapping function used is investigated numerically, and the study indicates that the transformation of a polygonal hole in a piezoelectric plate into a unit circle is nonsingle-valued. A simple approach is presented to treat such a situation. Based on the Green function developed in this paper, a system of singular integral equations for the unknown dislocation defined on crack faces is presented to study the interaction between cracks and holes. Numerical results are presented to elucidate the effects of crack orientation on stress and electric displacement (SED) intensity factors and to illustrate the application of the proposed formulation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004190050210
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Green's function for thermopiezoelectric plates with holes of various shapes (1999)
    Springer
    Archive of applied mechanics 69 (1999), S. 406-418 
    Details
    ISSN: 1432-0681
    Keywords: Key words Piezoelectricity Green's function ; thermal stress ; crack ; integral equation ; plate
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary Thermoelectroelastic problems for holes of various shapes embedded in an infinite matrix are considered in this paper. Based on Lekhnitskii's formalism, the technique of conformal mapping and the exact electric boundary conditions on the hole boundary, the thermoelectroelastic Green's function has been obtained analytically in terms of a complex potential. As an application of the proposed function, the problem of an infinite plate containing a crack and a hole is analysed. A system of singular integral equations for the unknown temperature discontinuity and the discontinuity of elastic displacement and electric potential (EDEP) defined on crack faces is developed and solved numerically. Numerical results for stress and electric displacement (SED) intensity factors of the crack-hole system are presented to illustrate the application of the proposed formulation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004190050230
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A new thermoelectroelastic solution for piezoelectric materials with various openings (1999)
    Springer
    Acta mechanica 138 (1999), S. 97-111 
    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 A new solution is obtained for thermoelectroelastic analysis of an insulated hole of various shapes embedded in an infinite piezoelectric plate. Based on the exact electric boundary conditions on the hole boundnary, Lekhnitskii's formulation and conformal mapping, the solution for elastic and electric fields has been obtained in closed form in terms of complex potential. The solution has a simple unified form for various holes such as ellipse, circle, triangle and square openings. As an application of the solution, the hoop stress and electric displacement (SED) and the solution for crack problems are discussed. Using the above results, the SED intensity factor and strain energy release rate can be obtained analytically. One numerical example is considered to illustrate the application of the proposed formulation and compared with those obtained from impermeable model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01179544
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    FRACTURE AND DAMAGE ANALYSIS OF A CRACKED BODY BY A NEW BOUNDARY ELEMENT MODEL (1997)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 327-336 
    Details
    ISSN: 1069-8299
    Keywords: crack ; boundary element method ; effective mechanical properties ; discontinuity displacement method ; variational principle ; stress intensity factor ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Based on the concept of discontinuity displacement, an analytical solution for cracked thin plates has been derived in which displacements and stresses in a solid can be expressed by the linear distributed discontinuity displacements on the whole boundary. By way of the potential variational principle and the analytical solution newly developed, a boundary element model for 2D multiple crack problems has been presented and applied to fracture and damage analysis of thin plates with many cracks. Two numerical examples are considered to illustrate applications of the proposed element model.© 1997 John Wiley & Sons, Ltd.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 5
    Electronic Resource
    Electronic Resource
    Unconditionally stable FEM for transient linear heat conduction analysis (1994)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 10 (1994), S. 427-435 
    Details
    ISSN: 1069-8299
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper presents a new method for the numerical solution of transient linear heat conduction problems. In the proposed method, the transient linear heat conduction equation is first integrated with respect to time over subsequent intervals. Then the resulting set of elliptic equations is discretized in space according to a finite-element procedure. The method is unconditionally stable. At the end of the paper, the effectiveness of the proposed method is assessed through some numerical examples.
    Additional Material: 4 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640100602
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  • 6
    Electronic Resource
    Electronic Resource
    Variational principles and hybrid approach for finite deformation analysis of shells (1991)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 7 (1991), S. 429-434 
    Details
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A complementary Hu-Washizu functional Γ3, based on formulae presented by Atluri (1984), is given in dyadic notation. By introducing Legendre transformation, the Heillinger-Reissner functional Π2, Γ2 and the classic potential energy functional Π1 are obtained. An incremental modelling of functional Γ3 for the analysis of finite deformation and finite rotations of arbitrarily shaped shells is presented. The numerical results are shown to be in good agreement with those found in published literature.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1630070603
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    Paper (German National Licenses)
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