Foundations of classical laminate theory [electronic resource] / Andreas Öchsner.

This book provides a systematic and thorough introduction to the classical laminate theory based on the theory for plane elasticity elements and classical (shearrigid) plate elements. It focus on unidirectional lamina which can be described based on orthotropic constitutive equations and their compo...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Öchsner, Andreas
Format: Electronic eBook
Language:English
Published: Cham : Springer, 2021.
Series:Advanced structured materials ; 163.
Subjects:

MARC

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490 1 |a Advanced Structured Materials ;  |v v.163. 
505 0 |a Intro -- Preface -- Contents -- Symbols and Abbreviations -- Latin Symbols (Capital Letters) -- Latin Symbols (Small Letters) -- Greek Symbols (Small Letters) -- Mathematical Symbols -- Indices, Superscripted -- Indices, Subscripted -- Abbreviations -- 1 Introduction -- 1.1 Composite Materials -- 1.2 Continuum Mechanical Modeling -- References -- 2 Macromechanics of a Lamina -- 2.1 Introduction -- 2.2 Kinematics -- 2.2.1 Plane Elasticity Element -- 2.2.2 Classical Plate Element -- 2.2.3 Combined Plane Elasticity and Classical Plate Element -- 2.3 Constitutive Equation. 
505 8 |a 2.3.1 Isotropic Material: Plane Elasticity Element -- 2.3.2 Isotropic Material: Classical Plate Element -- 2.3.3 Isotropic Material: Combined Plane Elasticity and Classical Plate Element -- 2.3.4 Orthotropic Material: Combined Plane Elasticity and Classical Plate Element -- 2.4 Equilibrium -- 2.4.1 Plane Elasticity Element -- 2.4.2 Classical Plate Element -- 2.4.3 Combined Plane Elasticity and Classical Plate Element -- 2.5 Partial Differential Equations -- 2.5.1 Plane Elasticity Element -- 2.5.2 Classical Plate Element -- 2.5.3 Combined Plane Elasticity and Classical Plate Element. 
505 8 |a 2.6 Failure Criteria -- 2.6.1 Maximum Stress Criterion -- 2.6.2 Maximum Strain Criterion -- 2.6.3 Tsai-Hill Criterion -- 2.6.4 Tsai-Wu Criterion -- References -- 3 Macromechanics of a Laminate -- 3.1 Introduction -- 3.2 Generalized Stress-Strain Relationship -- 3.3 Special Cases of Laminates -- 3.4 Failure Analysis of Laminates -- References -- 4 Example Problems -- 4.1 Introduction -- 4.2 Problem 1: Stresses and Strains in a Symmetric Laminate -- 4.3 Problem 2: Stresses and Strains in an Asymmetric Laminate -- 4.4 Problem 3: Failure Criteria -- 4.5 Problem 4: Ply-By-Ply Failure Loads. 
505 8 |a 4.6 Problem 5: Pole Diagrams of Elastic Properties for Unidirectional Laminae -- 4.7 Problem 6: Failure Envelopes for Unidirectional Laminae -- References -- Index. 
504 |a Includes bibliographical references and index. 
520 |a This book provides a systematic and thorough introduction to the classical laminate theory based on the theory for plane elasticity elements and classical (shearrigid) plate elements. It focus on unidirectional lamina which can be described based on orthotropic constitutive equations and their composition to layered laminates. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, TsaiHill and the TsaiWu criteria. 
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