Topic
Bending of plates
About: Bending of plates is a research topic. Over the lifetime, 7668 publications have been published within this topic receiving 169972 citations.
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TL;DR: In this article, a bending theory for anisotropic laminated plates developed by Yang, Norris, and Stavsky is investigated, which includes shear deformation and rotary inertia in the same manner as Mindlin's theory for isotropic homogeneous plates.
Abstract: : A bending theory for anisotropic laminated plates developed by Yang, Norris,and Stavsky is investigated. The theory includes shear deformation and rotary inertia in the same manner as Mindlin's theory for isotropic homogeneous plates. The governing equations reveal that unsymmetrically laminated plates display the same bending-extensional coupling phenomenon found in classical laminated plate theory based on the Kirchhoff assumptions. Solutions are presented for bending under transverse load and for flexural vibration frequencies of symmetrical and nonsymmetrical laminates. Good agreement is observed in numerical results for plate bending as compared to exact solutions obtained from classical elasticity theory. For certain fiber reinforced composite materials, radical departure from classical laminated plate theory is indicated. (Author-PL)
1,123 citations
Book•
01 Nov 1998TL;DR: In this paper, the design process of fiber reinforced composites has been studied in terms of stiffness and compliance in the context of failure and failure of first-ply failure, and failure failure.
Abstract: Introduction Basic Concepts The Design Process Composites Design Methods Design for Reliability Fracture Mechanics Materials Fiber Reinforcements Fiber-Matrix Compatibility Fiber Forms Matrix Materials Thermoset Matrices Thermoplastic Matrices Creep, Temperature, and Moisture Corrosion Resistance Flammability Manufacturing Processes Hand Lay-up Pre-preg Lay-up Bag Molding Autoclave Processing Compression Molding Resin Transfer Molding Vacuum Assisted Resin Transfer Molding Pultrusion Filament Winding Micro-mechanics Basic Concepts Stiffness Moisture and Thermal Expansion Strength Ply Mechanics Coordinate Systems Stress and Strain Stress-Strain Equations Off-axis Stiffness Macro-mechanics Plate Stiffness and Compliance Computation of Stresses Common Laminate Types Laminate Moduli Design Using Carpet Plots Hygro-thermal Stresses (*) Strength Lamina Failure Criteria Laminate First Ply Failure Laminate Strength Strength Design Using Carpet Plots Stress Concentrations (*) Damage Continuum Damage Mechanics Longitudinal Tensile Damage Longitudinal Compression Damage Transverse Tension and In-plane Shear Fabric-reinforced Composites Weave Pattern Description Analysis Tow Properties Element Stiffness and Constitutive Relationship Laminate Properties Failure Analysis Woven Fabrics with Gap Twill and Satin Randomly Oriented Reinforcement Beams Preliminary Design Thin Walled Beams Plates and Stiffened Panels Plate Bending Plate Buckling Stiffened Panels Shells Shells of Revolution Cylindrical Shells with General Loading Strengthening of Reinforced Concrete Strengthening Design Materials Flexural Strengthening of RC Beams Shear Strengthening Beam-column Appendices Bibliography
1,013 citations
TL;DR: In this article, a 4-node plate bending element for linear elastic analysis is presented, as a special case, from a general nonlinear continuum mechanics based four-node shell element formulation.
Abstract: This communication discusses a 4-node plate bending element for linear elastic analysis which is obtained, as a special case, from a general nonlinear continuum mechanics based 4-node shell element formulation. The formulation of the plate element is presented and the results of various example solutions are given that yield insight into the predictive capability of the plate (and shell) element.
1,000 citations
Book•
24 Aug 2001TL;DR: In this paper, the authors introduce the theory of thin plates and thin shells, and apply it to the analysis of shell structures, including the moment theory of circular cylindrical shells.
Abstract: Part 1 Thin plates: introduction the fundamentals of the small-deflection plate bending theory rectangular plates circular plates bending of plates of various shapes plate bending by approximate and numerical methods advanced topics buckling of plates vibration of plates. Part 2 Thin shells: introduction to the general linear shell theory geometry of the middle surface the general linear theory of thin shells the membrane theory of shells applications of the membrane theory to the analysis of shell structures moment theory of circular cylindrical shells the moment theory of shells of revolution approximate theories of shell analysis and their application advanced topics buckling of shells vibration of shells. Appendices: some reference data Fourier series expansion verification of relations of the theory of surfaces derivation of the strain-displacement relations verification of equilibrium equations.
980 citations
TL;DR: In this article, the nonlinear bending of simply supported, functionally graded nanocomposite plates reinforced by single-walled carbon nanotubes (SWCNTs) subjected to a transverse uniform or sinusoidal load in thermal environments is investigated.
958 citations