Archive of Applied Mechanics

, Volume 70, Issue 8–9, pp 659–669 | Cite as

Singular potentials and double-force solutions for anisotropic laminates with coupled bending and stretching

  • D. D. Zakharov
  • W. Becker


Exact solutions are obtained in the framework of the classical theory of laminates subjected to the action of normal moments, double forces, double moments or momentless double dipoles. Seven cases of such loads are considered and completed by considering the case of given transversal discontinuity of normal deflection. It is shown that, in contrast to the case of infinite straight dislocations in a pure in-plane problem, the energy of this eighth solution depends on the discontinuity orientation. Some numerical examples are presented. Besides the formal value, the obtained double-force and double-moment solutions, as well as dimensionless double dipoles, can be used to construct kernels of additional boundary integral equations (BIE). Due to the coupling phenomena in the BIE system for the region with a corner point, additional variable such as corner forces appear and require the mentioned equation.

Key words Composite, anisotropy, laminate, double force, dislocation 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • D. D. Zakharov
    • 1
  • W. Becker
    • 2
  1. 1.Russian Academy of Sciences, Institute for Problems in Mechanics, 101 Vernadskogo Avenue, 117526 Moscow, RussiaRussia
  2. 2.Universität-GH Siegen, Institut für Mechanik und Regelungstechnik, FB-11, Paul-Bonatz-Strasse 9-11, D-57068 Siegen, Germany Fax: +49 271 740 2461 e-mail: beck@fb5.uni-siegen.deGermany

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