Duality in Finite Deformation Systems

  • David Yang Gao
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 39)


In this chapter we shall select topics from finite deformation continuum mechanics and minimum surface type problems in differential geometry, and use them to illustrate a general duality theory for n-dimensional nonconvex finite deformation systems in which the geometrical mapping Λ is a nonlinear partial differential operator. The methods and ideas can certainly be generalized to many other problems.


Finite Deformation Minimal Hypersurface Complementary Energy Duality Principle Admissible Space 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • David Yang Gao
    • 1
  1. 1.Department of MathematicsVirginia Polytechnic Institute and State UniversityBlacksburgUSA

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