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  3. Faststofmekanik

Lecture Notes on the Theory of Plates and Shells

- Classical and Modern Developments
Af: Mircea Birsan, David J. Steigmann, Milad Shirani Engelsk Hardback

Lecture Notes on the Theory of Plates and Shells

- Classical and Modern Developments
Af: Mircea Birsan, David J. Steigmann, Milad Shirani Engelsk Hardback
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This book presents the theory of plates and shells on the basis of the three-dimensional parent theory. The authors explore the thinness of the structure to represent the mechanics of the actual thin three-dimensional body under consideration by a more tractable two-dimensional theory associated with an interior surface. In this way, the relatively complex three-dimensional continuum mechanics of the thin body is replaced by a far more tractable two-dimensional theory. To ensure that the resulting model is predictive, it is necessary to compensate for this ''dimension reduction'' by assigning additional kinematical and dynamical descriptors to the surface whose deformations are modelled by the simpler two-dimensional theory. The authors avoid the various ad hoc assumptions made in the historical development of the subject, most notably the classical Kirchhoff-Love hypothesis requiring that material lines initially normal to the shell surface remain so after deformation. Instead, such conditions, when appropriate, are here derived rather than postulated. 

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This book presents the theory of plates and shells on the basis of the three-dimensional parent theory. The authors explore the thinness of the structure to represent the mechanics of the actual thin three-dimensional body under consideration by a more tractable two-dimensional theory associated with an interior surface. In this way, the relatively complex three-dimensional continuum mechanics of the thin body is replaced by a far more tractable two-dimensional theory. To ensure that the resulting model is predictive, it is necessary to compensate for this ''dimension reduction'' by assigning additional kinematical and dynamical descriptors to the surface whose deformations are modelled by the simpler two-dimensional theory. The authors avoid the various ad hoc assumptions made in the historical development of the subject, most notably the classical Kirchhoff-Love hypothesis requiring that material lines initially normal to the shell surface remain so after deformation. Instead, such conditions, when appropriate, are here derived rather than postulated. 

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 252
ISBN-13: 9783031256738
Indbinding: Hardback
Udgave:
ISBN-10: 3031256735
Kategori: Faststofmekanik
Udg. Dato: 21 feb 2023
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer International Publishing AG
Oplagsdato: 21 feb 2023
Forfatter(e): Mircea Birsan, David J. Steigmann, Milad Shirani
Forfatter(e) Mircea Birsan, David J. Steigmann, Milad Shirani

Kategori Faststofmekanik

ISBN-13 9783031256738

Sprog Engelsk

Indbinding Hardback

Sider 252

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 21 feb 2023

Oplagsdato 21 feb 2023

Forlag Springer International Publishing AG

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