St Venant's compatibility conditions and basic problems in elasticity
نویسندگان
چکیده
منابع مشابه
On the Compatibility Equations of Nonlinear and Linear Elasticity in the Presence of Boundary Conditions∗
We use Hodge-type orthogonal decompositions for studying the compatibility equations of the displacement gradient and the linear strain with prescribed boundary displacements. We show that the displacement gradient is compatible if and only if for any equilibrated virtual first-Piola Kirchhoff stress tensor field, the virtual work done by the displacement gradient is equal to the virtual work d...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1977
ISSN: 0035-7596
DOI: 10.1216/rmj-1977-7-1-47