Duality in Finite Deformation Systems
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.
KeywordsFinite Deformation Minimal Hypersurface Complementary Energy Duality Principle Admissible Space
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