Shell-like Structures: Non-classical Theories and Applications

Front Matter....Pages i-xi
Front Matter....Pages 1-1
Nonclassical Spatial Boundary Value Problems of Statics and Dynamics of Shells and the Asymptotic Method of Their Solution....Pages 3-14
Analytical Solution for the Bending of a Plate on a Functionally Graded Layer of Complex Structure....Pages 15-28
Analysis of the Deformation of Multi-layered Orthotropic Cylindrical Elastic Shells Using the Direct Approach....Pages 29-52
Asymptotic Integration of One Narrow Plate Problem....Pages 53-62
On Cusped Shell-like Structures....Pages 63-74
Effect of the Tangential Loads on the Bending of Elastic Plates....Pages 75-82
On the Convergence of an Iteration Method in Timoshenko’s Theory of Plates....Pages 83-90
Mathematical Models of Micropolar Elastic Thin Shells....Pages 91-100
Front Matter....Pages 101-101
Closed-form Approximate Solution for the Postbuckling Behavior of Orthotropic Shallow Shells Under Axial Compression....Pages 103-124
Nonlinear Magnetoelastic Waves in a Plate....Pages 125-134
Basic Concepts in the Stability Theory of Thin-Walled Structures....Pages 135-152
High-Frequency Free Vibrations of Plates in the Reissner’s Type Theory....Pages 153-164
On the Reconstruction of Inhomogeneous Initial Stresses in Plates....Pages 165-182
Dynamic Response of Pre-stressed Spatially Curved Thin-Walled Beams of Open Profile Impacted by a Falling Elastic Hemispherical-Nosed Rod....Pages 183-202
On Stability of Elastic Rectangular Sandwich Plate Subject to Biaxial Compression....Pages 203-216
Front Matter....Pages 217-217
On the Nonlinear Theory of Two-Phase Shells....Pages 219-232
A Gradient-Enhanced Damage Model for Viscoplastic Thin-shell Structures....Pages 233-250
On Constitutive Restrictions in the Resultant Thermomechanics of Shells with Interstitial Working....Pages 251-260
Free Finite Rotations in Deformation of Thin Bodies....Pages 261-278
On Universal Deformations of Nonlinear Isotropic Elastic Shells....Pages 279-294
Front Matter....Pages 295-295
Application of Genetic Algorithms to the Shape Optimization of the Nonlinearly Elastic Corrugated Membranes....Pages 297-306
Advances in Quadrilateral Shell Elements with Drilling Degrees of Freedom....Pages 307-328
Invariant-Based Geometrically Nonlinear Formulation of a Triangular Finite Element of Laminated Shells....Pages 329-354
Consistency Issues in Shell Elements for Geometrically Nonlinear Problems....Pages 355-376
An Algorithm for the Automatisation of Pseudo Reductions of PDE Systems Arising from the Uniform-approximation Technique....Pages 377-390
Recent Improvements in Hu-Washizu Shell Elements with Drilling Rotation....Pages 391-412
Front Matter....Pages 413-413
Dynamic Analysis of Debonded Sandwich Plates with Flexible Core – Numerical Aspects and Simulation....Pages 415-440
On Elasto-plastic Analysis of Thin Shells with Deformable Junctions....Pages 441-452
Thermal Stress and Strain of Solar Cells in Photovoltaic Modules....Pages 453-468
Computational Models of Laminated Glass Plate under Transverse Static Loading....Pages 469-490
Unbending of Curved Tube by Internal Pressure....Pages 491-498
Characterization of Polymeric Interlayers in Laminated Glass Beams for Photovoltaic Applications....Pages 499-506
On the Determination of Edge Reinforcement Properties for Optimum Lightweight Design of Composite Stiffeners....Pages 507-516
Front Matter....Pages 517-517
Evaluation of the Mechanical Parameters of Nanotubes by Means of Nonclassical Theories of Shells....Pages 519-530
Gauss-Codazzi Equations for Thin Films and Nanotubes Containing Defects....Pages 531-548
Effective Mechanical Properties of Closed-cell Foams Investigated with a Microstructural Model and Numerical Homogenisation....Pages 549-560
What Shell Theory fits Carbon Nanotubes....Pages 561-570
A Variationally Consistent Derivation of Microcontinuum Theories....Pages 571-584
Shell-Models for Multi-Layer Carbon Nano-Particles....Pages 585-602
Front Matter....Pages 603-603
Mechanics of Biological Membranes from Lattice Homogenization....Pages 605-628
Front Matter....Pages 603-603
Biological and Synthetic Membranes: Modeling and Experimental Methodology....Pages 629-646
Nonclassical Theories of Shells in Application to Soft Biological Tissues....Pages 647-654
Front Matter....Pages 655-655
Axisymmetric Bending Analysis of Two Directional Functionally Graded Circular Plates Using Third Order Shear Deformation Theory....Pages 657-668
Stability Analysis of Functionally Graded Plates Subject to Thermal Loads....Pages 669-680
A Best Theory Diagram for Metallic and Laminated Shells....Pages 681-698
In-plane Strain and Stress Fields in Theories of Shearable Laminated Plates Subject to Transverse Loads....Pages 699-714
On the Use of a New Concept of Sampling Surfaces in Shell Theory....Pages 715-726
Theory of Thin Adaptive Laminated Shells Based on Magnetorheological Materials and Its Application in Problems on Vibration Suppression....Pages 727-750