Geodesic
Variational principles in the linear theory of elasticity for general boundary conditions
Applications of Mathematics, Tome 12 (1967) no. 6, pp. 425-448

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MR Zbl
Mixed boundary-value problem of the classical theory of elasticity is considered, where not only displacements and tractions are prescribed on some parts of the boundary, but also conditions of contact and elastic supports for normal and tangential directions to the boundary surface separately. Classical variational principles are derived using functional analysis methods, especially methods of Hilbert space. Furthermore, generalized variational principles and bilateral estimates of errors are suggested.
Mixed boundary-value problem of the classical theory of elasticity is considered, where not only displacements and tractions are prescribed on some parts of the boundary, but also conditions of contact and elastic supports for normal and tangential directions to the boundary surface separately. Classical variational principles are derived using functional analysis methods, especially methods of Hilbert space. Furthermore, generalized variational principles and bilateral estimates of errors are suggested.
DOI : 10.21136/AM.1967.103124
Classification : 73-49
Keywords: mechanics of solids 
Hlaváček, Ivan. Variational principles in the linear theory of elasticity for general boundary conditions. Applications of Mathematics, Tome 12 (1967) no. 6, pp. 425-448. doi: 10.21136/AM.1967.103124
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