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Shell and Membrane Theories in Mechanics and Biology electronic resource From Macro- to Nanoscale Structures / edited by Holm Altenbach, Gennadi I. Mikhasev.

Contributor(s): Altenbach, Holm [editor.] | Mikhasev, Gennadi I [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Advanced Structured MaterialsPublication details: Cham : Springer International Publishing : Imprint: Springer, 2015Description: XI, 321 p. 107 illus., 36 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319025353Subject(s): engineering | Numerical analysis | Continuum mechanics | Structural Mechanics | Engineering | Continuum Mechanics and Mechanics of Materials | Numerical Analysis | Structural MechanicsDDC classification: 620.1 LOC classification: TA405-409.3QA808.2Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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