Euler-Lagrange Elasticity: Differential Equations for Elasticity without Stress or Strain
نویسندگان
چکیده
منابع مشابه
AV-differential geometry: Euler-Lagrange equations
A general, consistent and complete framework for geometrical formulation of mechanical systems is proposed, based on certain structures on affine bundles (affgebroids) that generalize Lie algebras and Lie algebroids. This scheme covers and unifies various geometrical approaches to mechanics in the Lagrangian and Hamiltonian pictures, including time-dependent lagrangians and hamiltonians. In our...
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Preface During the 1996-97 academic year, Phillip Griffiths and Robert Bryant conducted a seminar at the Institute for Advanced Study in Princeton, NJ, outlining their recent work (with Lucas Hsu) on a geometric approach to the calculus of variations in several variables. The present work is an outgrowth of that project; it includes all of the material presented in the seminar, with numerous ad...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2013
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2013.17004