Multiscale Buckling Modes in the Mechanics of Fiber-Reinforced Plastics / / by Vitaly Paimushin, Andris K. Chate, Sergey Kholmogorov, Maksim Makarov, Ruslan Gazizullin

• Autore: Paimushin Vitaly
• Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024
• Edizione: 1st ed. 2024.
• Descrizione fisica: 1 online resource (175 pages)
• Disciplina: 620.105
• Soggetto topico: Mechanics, Applied; Solids; Composite materials; Aerospace engineering; Astronautics; Solid Mechanics; Composites; Aerospace Technology and Astronautics
• Altri autori: ChateAndris K KholmogorovSergey MakarovMaksim GazizullinRuslan
• Nota di contenuto: Intro -- Preface -- Contents -- 1 Geometric Nonlinearity and Stability Problems in Mechanics of Deformable Solids -- 1.1 Introduction -- 1.2 Main Relations of the Theory of Elasticity for Arbitrary Displacements and Strains -- 1.3 Simplifications of Basic Equations Possible for Small Elongations and Shears -- 1.4 Stability Equations of a Beam and Problems Based on the Use of Incomplete Kinematic Relations in the Quadratic Approximation -- 1.4.1 Uniform Axial Compression of the Beam with Stress σ110 = - p -- 1.4.2 Compression of Beam in Transverse Directions by Stresses σ220 = - q2 ,σ330 = q3 -- 1.4.3 Pure Bending of the Beam by End Bending Moments Mz0 = m in the Plane x0z -- 1.4.4 Axial Compression of a Beam in Simultaneous Pure Bending in the Plane x0z -- 1.4.5 Three-Sided Compression of the Beam with Stresses p,q2 ,q3 -- 1.5 Stability Equations and Problems for the Beams Based on the Use of Kinematic Relations in Full Quadratic Approximation -- 1.5.1 Pure Bending of the Beam by End Bending Moments Mz0 = m -- 1.5.2 Pure Torsion of the Beam with Torque Mtor0 = M -- 1.5.3 Beam in Pure Shear Conditions -- 1.6 Conclusion -- References -- 2 Stress-Strain State of Fiber-Reinforced Plastic Specimens with [±45]2s Lay-Ups in Tensile and Compression Tests -- 2.1 Introduction -- 2.2 Theoretical Analysis of Stress and Strain Fields Formed in Monolayers of Test Specimens of a [ pm45 ° ]2s FCM in Tension and Compression -- 2.3 Experimental and Numerical Studies on the Stress and Strain Fields Formed in Monolayers of Test Specimens Made of FCM with a Structure [ pm45 ° ]2s Under Tension and Compression -- 2.3.1 Experimental Investigations -- 2.3.2 Results of the Finite-Element Calculation in the Linear Formulation of the Problem -- 2.4 Conclusion -- References. ; 3 Flat Internal Buckling Modes of Structural Elements of Fiber-Reinforced Plastic Specimens with a [±45°]2s Lay-Up in Tensile and Compression Tests -- 3.1 Introduction -- 3.2 Study of the Structure of a Unidirectional Fiber-Reinforced Plastics -- 3.2.1 Structure of a Fibre Composite Without Binder -- 3.2.2 Manufacturing Technology for the Composites in Study -- 3.2.3 Structure of the Solidified Fibre-Reinforced Composite -- 3.3 Refined Statement of the Problem of Planar BFs of a Composite Monolayer with Account of Its Interaction with Binder Layers -- 3.4 Solutions of the Problem of Planar BFs of Structural Elements of a Fibrous Composite. Calculation Results and Their Analysis -- 3.5 Conclusion -- References -- 4 Tension-Compression and Shear of Plane Test Specimens from Laminated Composites with the [90°]s Structure -- 4.1 Introduction -- 4.2 Contact Formulation of Multilayer Shell Mechanics Problems -- 4.2.1 Kinematic Relations -- 4.2.2 Equilibrium Equations Corresponding to the Contact Formulation of the Problem -- 4.3 Equations Corresponding to the Preliminary Satisfaction of the Layer Conjugation -- 4.3.1 Equations of Equilibrium -- 4.3.2 Elasticity Relations -- 4.4 Linear Problem of Plane Bending of a Multilayer Beam -- 4.4.1 Beam with an Arbitrary Number of Layers -- 4.4.2 Double-Layered Beam -- 4.5 Tensile-Compression and Shear of Plane Test Specimens of Fiber Composites with Structure [90°]s -- 4.5.1 Discrete-Structure Model of Deformation of Test Samples [90°]s in Tensile-Compression and Shear Conditions -- 4.6 Construction of Integral-Algebraic Equations for Determining the Initial (Pre-Critical) Stress-Strain State -- 4.7 Approximation of Integral Equations -- 4.8 Results of Numerical Experiments to Determine the Pre-Critical (Initial) Stress-Strain State. ; 4.8.1 Formulation of the Linearized Problem for Determining Possible Buckling Modes -- 4.8.2 Results of Numerical Experiments -- 4.8.3 Macroscale Buckling Modes Under Shear Compression -- 4.8.4 Shear Mesomacroscale Buckling Modes of a Composite Under Compression -- 4.8.5 Mesoscale Bending-Shear Buckling Modes of a Composite Under Compression with Shear -- 4.8.6 Mesoscale Bending-Shear Buckling Mode of a Composite Under Tensile Shear -- 4.8.7 Microscale Bending Buckling Mode of the Fiber Under Shear Compression of the Test Specimen -- References -- 5 Experimental Studies of the Mechanisms of Formation of Residual Strain in Fibrous Composites Under Cyclic Loading -- 5.1 Introduction -- 5.2 Experiments on Cyclic Tension -- 5.3 Test Results at Different Loading Speeds -- 5.4 Adaptability Residual Deformations of Hereditary Viscoelastic Composite -- 5.5 Conclusion -- References.
• Sommario/riassunto: This book is a useful source of knowledge for engineers and scientists in the field of mechanics of deformation and destruction of composite materials. In Chapter 1 three-dimensional equations of elasticity theory composed for the case of finite displacements and deformations of solids have been analyzed. It is found that the generally accepted simplifications known in the literature and carried out for the case of small deformations result in equations that are considered to be absolutely correct and consistent in all scientific and educational literature on mechanics of deformable solid bodies. However, this conclusion is not sufficiently well-founded as confirmed by formulation and solution of problems on the basis of generally accepted equations for determining both the stress-strain state (SSS) and the critical loads and buckling modes. In Chapter 2 the theoretical and experimental methods for determining the mechanical characteristics of fiber-reinforced plastics (FRPs) based on tensile and compression tests of flat specimens with [0]s , [±90]s, and [±45]2s lay-ups are analyzed. For FRPs with [±45]2s lay-ups, relations are derived for determining the components of lamina strains and stresses in the orthotropy axes of FRP monolayer in terms of axial strains and Poisson ratios of specimens measured in experiments. In Chapter 3 the structure of a unidirectional fibre composite of two types ELUR-P carbon fibre based on KhT-118 cold-curing binder and HSE 180 REM prepreg based on hot-curing binder has been studied. The diameters of fibres and fibre bundles (filaments) of both types of composites have been measured. Based on the results of the analysis of the composite material structure, a refined formulation of the linearised problems of a refined statement of linearized problems on flat internal multiscale buckling modes of a rigid lamina with either fibers or a fiber bundle is presented taking into account their interaction with an epoxy matrix. In Chapter 4 for shells of a layered structure based on the Timoshenko’s model, taking into account the transverse compression used for each layer, two versions of two-dimensional equations are constructed that describe geometrically nonlinear deformation with arbitrary displacements and small deformations. The formulation of a linear problem on the initial (subcritical) stress-strain state of a test specimen from a unidirectional fibrous composite with the [900]s structure during tension-compression tests with shear is given. A numerical method for solving the formulated problem is developed, which is based on the reduction of the original problem to a system of integro-algebraic equations and the search for their numerical solution by the finite sum method. In Chapter 5 conclusions were done and directions for further research have been identified.
• Titolo autorizzato: Multiscale Buckling Modes in the Mechanics of Fiber-Reinforced Plastics
• ISBN: 3-031-48216-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910806197303321
• Lo trovi qui: Univ. Federico II
• Serie: Advanced Structured Materials, . 1869-8441 ; ; 207