Robert Nzengwa Nzengwa Plate and Shell Models

Plate and Shell Models

von Robert Nzengwa

Variational Methods in Plate and Shell theory

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Beschreibung

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. 



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. 


Presents the different models in a variational form suitable to implement FEM Covers Gradient Recovery and Strain Deformation methods Defines governing equations on transverse stresses through the thickness

Autor*in

Robert Nzengwa

Themen in »Plate and Shell Models«

Elastic Shell Thick Shell Gauss Curvature Orthotropic Plates Anisotropic Shell

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Details

ISBN: 9789819910038
Verlag: Springer Singapore
Erscheinung: 20.06.2024

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