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Lecture notes on the theory of plate...

Steigmann, David J.

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Lecture notes on the theory of plates and shells = classical and modern developments /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lecture notes on the theory of plates and shells/ by David J. Steigmann, Mircea Bîrsan, Milad Shirani.
Reminder of title:	classical and modern developments /
Author:	Steigmann, David J.
other author:	Bîrsan, Mircea.
Published:	Cham :Springer Nature Switzerland : : 2023.,
Description:	ix, 252 p. :ill., digital ;24 cm.
[NT 15003449]:	Chapter 1. Tensor Analysis in Euclidean Space Using Curvilinear Coordinates -- Chapter 2. Local Geometry of Deformation -- Chapter 3. Hyperelastic Solids: Purely Mechanical Theory -- Chapter 4. Linearly elastic plates -- Chapter 5. Linear Shell Theory -- Chapter 6. Nonlinear equations for plates and shells -- Chapter 7. Buckling of elastic plates -- Chapter 8. Saint-Venant Problem for general cylindrical shells.
Contained By:	Springer Nature eBook
Subject:	Plates (Engineering) -
Online resource:	https://doi.org/10.1007/978-3-031-25674-5
ISBN:	9783031256745

Lecture notes on the theory of plates and shells = classical and modern developments /
Steigmann, David J.

Lecture notes on the theory of plates and shellsclassical and modern developments /[electronic resource] :by David J. Steigmann, Mircea Bîrsan, Milad Shirani. - Cham :Springer Nature Switzerland :2023. - ix, 252 p. :ill., digital ;24 cm. - Solid mechanics and its applications,v. 2742214-7764 ;. - Solid mechanics and its applications ;v. 274..

Chapter 1. Tensor Analysis in Euclidean Space Using Curvilinear Coordinates -- Chapter 2. Local Geometry of Deformation -- Chapter 3. Hyperelastic Solids: Purely Mechanical Theory -- Chapter 4. Linearly elastic plates -- Chapter 5. Linear Shell Theory -- Chapter 6. Nonlinear equations for plates and shells -- Chapter 7. Buckling of elastic plates -- Chapter 8. Saint-Venant Problem for general cylindrical shells.

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.

ISBN: 9783031256745

Standard No.: 10.1007/978-3-031-25674-5doiSubjects--Topical Terms:

866829
Plates (Engineering)

LC Class. No.: TA660.P6 / S74 2023

Dewey Class. No.: 624.17765

Lecture notes on the theory of plates and shells = classical and modern developments /
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245 1 0 $a Lecture notes on the theory of plates and shells $h [electronic resource] : $b classical and modern developments / $c by David J. Steigmann, Mircea Bîrsan, Milad Shirani.
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505 0 $a Chapter 1. Tensor Analysis in Euclidean Space Using Curvilinear Coordinates -- Chapter 2. Local Geometry of Deformation -- Chapter 3. Hyperelastic Solids: Purely Mechanical Theory -- Chapter 4. Linearly elastic plates -- Chapter 5. Linear Shell Theory -- Chapter 6. Nonlinear equations for plates and shells -- Chapter 7. Buckling of elastic plates -- Chapter 8. Saint-Venant Problem for general cylindrical shells.
520 $a 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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