Shell and Membrane Theories in Mechanics and Biology

Featuring the latest results on the topic, this monograph explains how to use a multidisciplinary approach from macro- to nanoscale in characterizing and designing shells, plates, membranes and other thin-walled structures in mechanics and biology.

This book presents the latest results related to shells characterize and design shells, plates, membranes and other thin-walled structures, a multidisciplinary approach from macro- to nanoscale is required which involves the classical disciplines of mechanical/civil/materials engineering (design, analysis, and properties) and physics/biology/medicine among others. The book contains contributions of a meeting of specialists (mechanical engineers, mathematicians, physicists and others) in such areas as classical and non-classical shell theories. New trends with respect to applications in mechanical, civil and aero-space engineering, as well as in new branches like medicine and biology are presented which demand improvements of the theoretical foundations of these theories and a deeper understanding of the material behavior used in such structures.

Presents the latest results related to shell and membrane theories in mechanics and biology Offers a deeper understanding of the material behavior used in shell structures Shows new trends with respect to applications in mechanical, civil and aero-space engineering, as well as in new branches like medicine and biology Includes supplementary material: sn.pub/extras

Auteur
Prof. Dr.-Ing. habil. Holm Altenbach lehrt Technische Mechanik an der Otto-von-Guericke-Universität Magdeburg. Seine Forschungsschwerpunkte liegen auf verschiedenen Gebieten der Kontinuumsmechanik (Plattentheorie, Kriechschädigungsmechanik, Mechanik der Komposite).

Texte du rabat
This book presents the latest results related to shells characterize and design shells, plates, membranes and other thin-walled structures, a multidisciplinary approach from macro- to nanoscale is required which involves the classical disciplines of mechanical/civil/materials engineering (design, analysis, and properties) and physics/biology/medicine among others. The book contains contributions of a meeting of specialists (mechanical engineers, mathematicians, physicists and others) in such areas as classical and non-classical shell theories. New trends with respect to applications in mechanical, civil and aero-space engineering, as well as in new branches like medicine and biology are presented which demand improvements of the theoretical foundations of these theories and a deeper understanding of the material behavior used in such structures.

Contenu
1 On Some Classes of 3D Boundary-Value Problems of Statics and Dynamics of Plates and Shells,- 2 On the Theories of Plates and Shells at the Nanoscale.- 3 Chaotic Vibrations of Conical and Spherical Shells and Their Control.- 4 Nonclassical Shell Theories in Ocular Biomechanics.- 5 Linear Oscillations of Suspended Graphene.- 6 On Discrete-Kirchhoff Plate Finite Elements: Implementation and Discretization Error.- 7 Shell Theory-Based Estimation of Local Elastic Characteristics of Biological Cells.- 8 On the Direct Approach in the Theory of Second Gradient Plates.- 9 A Shell Theory for Carbon Nanotube of Arbitrary Chirality.- 10 Finite Axisymmetric Deformation of an Inflatable Anisotropic Toroidal Membrane.- 11 Simulation of Cardiac Cell-Seeded Membranes Using the Edge-Based Smoothed FEM.- 12 Determining the Modulus of Elasticity for Polymer Materials by Numerical Testing Thin-walled Double-layer Circular Shells.- 13 Three-Dimensional Exact Analysis of Functionally Graded Laminated Composite Plates.- 14 Prediction of Eigenfrequencies of the Middle Ear Oscillating System after Tympanoplasty and Stapedotomy.- 15 A New Approach for Studying Nonlinear Dynamic Response of a Thin Fractionally Damped Plate with 2:1 and 2:1:1 Internal Resonances.- 16 On Stability of Inhomogeneous Elastic Cylinder of Micropolar Material.- 17 A New Approach for Studying Nonlinear Dynamic Response of a Thin Fractionally Damped Cylindrical Shell with Internal Resonances of the Order of e.