ISSN:
1573-2681
Keywords:
35B45
;
73C99
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
Notes:
Abstract We are concerned with the coerciveness of the strain energy E(u) (in linear elasticity) associated with a displacement vector u on the Sobolev space H1 (Ω) or its subspaces, a domain Ω in ℝn representing an isotropic elastic body—certain specific cases are called “Korn's inequalities”. Sufficient (and necessary) conditions on the “Lamé moduli” for E(·) to be coercive (or uniformly positive) on such spaces are given, and the associated best possible constants are obtained for some cases.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00115553
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