ON RIGID AND INFINITESIMAL RIGID DISPLACEMENTS IN THREE-DIMENSIONAL ELASTICITY
نویسندگان
چکیده
منابع مشابه
On Rigid and Infinitesimal Rigid Displacements in Three-Dimensional Elasticity
Let Ω be an open connected subset of R and letΘ be an immersion from Ω into R. It is first established that the set formed by all rigid displacements, i.e., that preserve the metric, of the open set Θ(Ω) is a submanifold of dimension 6 and of class C∞ of the space H(Ω). It is then shown that the vector space formed by all the infinitesimal rigid displacements of the same set Θ(Ω) is nothing but...
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ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2003
ISSN: 0218-2025,1793-6314
DOI: 10.1142/s0218202503003045