Finite rotations in the description of continuum deformation (Record no. 51423)

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control field MX-MdCICY
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control field 20250625160207.0
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Transcribing agency CICY
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Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) B-17260
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Title Finite rotations in the description of continuum deformation
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Volume/sequential designation International Journal of Engineering Science, 21(9), p.1097-1115, 1983
520 3# - SUMMARY, ETC.
Summary, etc. Finite rotations in continuum mechanics are described by means of either a proper orthogonal tensor or finite rotation vectors. Some algebraic relations concerning the finite rotations are reviewed. Formulae expressing them in terms of displacements are given. Along each of the curvilinear coordinate lines the finite rotations are shown to satisfy some systems of the linear first-order differential equations. Each system of the equations is presented in four different but equivalent forms associated with an intermediate stretched basis or with an intermediate rotated basis. Integrability conditions of the system of equations provide various alternative forms of compatibility conditions in continuum mechanics. The displacement field is expressed through the stretch and rotation fields in the form of three successive line integrals. The formula describes the displacements to within a constant finite translation and a constant finite rotation. The procedure proposed here generalizes the formula derived by Cesàro (1906)within the classical linear theory of elasticity.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICAL TECHNIQUES - DIFFERENTIAL EQUATIONSSTRAIN
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Pietraszkiewicz, W.
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Badur, J.
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Uniform Resource Identifier <a href="https://drive.google.com/file/d/1TZcs4l9LmtEvMsFurQtQTrxGjlKMkfmz/view?usp=drivesdk">https://drive.google.com/file/d/1TZcs4l9LmtEvMsFurQtQTrxGjlKMkfmz/view?usp=drivesdk</a>
Public note Para ver el documento ingresa a Google con tu cuenta: @cicy.edu.mx
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  Clasificación local     Ref1 CICY CICY Documento préstamo interbibliotecario 25.06.2025   B-17260 25.06.2025 25.06.2025 Documentos solicitados