Robert Nzengwa
Plate and Shell Models
Variational Methods in Plate and Shell theory
Paperback Engels 2023 9789819927722Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This book presents, in a variational form, very many two dimensional models which have been developed to overcome some weaknesses of the Kirchhoff-Love and Reissner-Mindlin’s models. More precisely the N-T and N models are particularly treated because they clearly show the impact of the change in the third fundamental form whose contribution to the strain energy becomes important when the characteristic ratio of the shell is roughly greater than 0.3. Transverse stresses through-the-thickness are calculated. Gradient Recovery and Strain deformation approach with Curve triangular and Shifted Lagrange elements are implemented. These new FEM appear to be memory less greedy.
Specificaties
ISBN13:9789819927722
Taal:Engels
Bindwijze:Paperback
Uitgever:Springer Verlag, Singapore
Lezersrecensies
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Inhoudsopgave
Dedication
List of Figures
List of Tables
Acknowledgements
1 CURVILINEAR MEDIA
1.1 GEOMETRY OF A 3D CURVILINEAR MEDIA
1.2 SURFACE GEOMETRY
2 EQUILIBRIUM EQUATIONS
2.1 GEOMETRY OF A SHELL
2.2 EULER’S EQUATIONS AND VARIATIONAL FORMULATION
3 DYNAMIC EVOLUTION OF SHELLS
3.1 DYNAMIC EQUILIBRIUM EQUATION OF THE N-T MODEL . . . . . .3.2 FREE VIBRATIONS
3.3 THE MODEL "N" OF THICK SHELLS. . . . . . . . . . . . . . . . .
4 THIN SHELLS
4.1 THEORY OF THIN SHELLS
4.2 THE MEMBRANE THEORY OF THIN SHELLS. . . . . . . . . . .
.4.3 THE MIXED THEORY (MEMBRANE-BENDING) OF THIN SHELLS4.4 THEORY OF PLATES
4.5 THEORY OF ORTHOTROPIC PLATES
5 NUMERICAL METHODS
5.1 GENERALITIES OF THE 2D FEM. . . . . . . . . . . . . . . . . . .
5.2 C0 FINITE ELEMENTS. . . . . . . . . . . . . . . . . . . . . . . . . .5.3 CURVED TRIANGULAR ELEMENTS AND ASSUMED STRAIN APPROACH
FOR SHELLS. . . . . . . . . . . . . . . . . . . . . . . .
5.4 APPLICATIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6 OTHER MODELS
6.1 STIFFENED,THERMOELASTIC AND HOMOGENEOUS ANISOTROPIC SHELLS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6.2 HETEROGENEOUS SHELLS. . . . . . . . . . . . . . . . . . . . .
6.3 SOME SEMI-ANALYTIC MODELS. . . . . . . . . . . . . . . . . .
6.4 COSSERAT THICK SHELLS. . . . . . . . . . . . . . . . . . . . . .
Bibliography
List of Figures
List of Tables
Acknowledgements
1 CURVILINEAR MEDIA
1.1 GEOMETRY OF A 3D CURVILINEAR MEDIA
1.2 SURFACE GEOMETRY
2 EQUILIBRIUM EQUATIONS
2.1 GEOMETRY OF A SHELL
2.2 EULER’S EQUATIONS AND VARIATIONAL FORMULATION
3 DYNAMIC EVOLUTION OF SHELLS
3.1 DYNAMIC EQUILIBRIUM EQUATION OF THE N-T MODEL . . . . . .3.2 FREE VIBRATIONS
3.3 THE MODEL "N" OF THICK SHELLS. . . . . . . . . . . . . . . . .
4 THIN SHELLS
4.1 THEORY OF THIN SHELLS
4.2 THE MEMBRANE THEORY OF THIN SHELLS. . . . . . . . . . .
.4.3 THE MIXED THEORY (MEMBRANE-BENDING) OF THIN SHELLS4.4 THEORY OF PLATES
4.5 THEORY OF ORTHOTROPIC PLATES
5 NUMERICAL METHODS
5.1 GENERALITIES OF THE 2D FEM. . . . . . . . . . . . . . . . . . .
5.2 C0 FINITE ELEMENTS. . . . . . . . . . . . . . . . . . . . . . . . . .5.3 CURVED TRIANGULAR ELEMENTS AND ASSUMED STRAIN APPROACH
FOR SHELLS. . . . . . . . . . . . . . . . . . . . . . . .
5.4 APPLICATIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6 OTHER MODELS
6.1 STIFFENED,THERMOELASTIC AND HOMOGENEOUS ANISOTROPIC SHELLS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6.2 HETEROGENEOUS SHELLS. . . . . . . . . . . . . . . . . . . . .
6.3 SOME SEMI-ANALYTIC MODELS. . . . . . . . . . . . . . . . . .
6.4 COSSERAT THICK SHELLS. . . . . . . . . . . . . . . . . . . . . .
Bibliography
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