03258nam 22004093 450 991074629470332120230922080256.03-031-38192-0(CKB)28270174700041(MiAaPQ)EBC30749691(Au-PeEL)EBL30749691(EXLCZ)992827017470004120230922d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierA Simplified Approach to the Classical Laminate Theory of Composite Materials Application of Bar and Beam Elements1st ed.Cham :Springer,2023.©2023.1 online resource (132 pages)Advanced Structured Materials Series ;v.1929783031381911 Intro -- Preface -- Contents -- Symbols and Abbreviations -- Latin Symbols (Capital Letters) -- Latin Symbols (Small Letters) -- Latin Numbers -- Greek Symbols -- Mathematical Symbols -- Indices, Superscripted -- Indices, Subscripted -- Abbreviations -- 1 Introduction -- References -- 2 Bar Elements -- 2.1 Introduction -- 2.2 Kinematics -- 2.3 Constitutive Equation -- 2.4 Equilibrium -- 2.5 Differential Equation -- References -- 3 Euler-Bernoulli Beam Elements -- 3.1 Introduction -- 3.2 Kinematics -- 3.3 Constitutive Equation -- 3.4 Equilibrium -- 3.5 Differential Equation -- References -- 4 Combination of Bar and Beam Elements -- 4.1 Introduction -- 4.2 Kinematics -- 4.3 Constitutive Equation -- 4.4 Equilibrium -- 4.5 Differential Equations -- 4.6 Failure Criteria -- 4.6.1 Maximum Stress Criterion -- 4.6.2 Maximum Strain Criterion -- 4.6.3 Tsai-Hill Criterion -- 4.6.4 Tsai-Wu Criterion -- References -- 5 Classical Laminate Theory for One-Dimensional Elements -- 5.1 Introduction -- 5.2 Generalized Stress-Strain Relationship -- 5.3 Failure Analysis -- References -- 6 Example Problems -- 6.1 Introduction -- 6.2 Problem 1: Stresses and Strains in a Symmetric Laminate -- 6.3 Problem 2: Stresses and Strains in an Asymmetric Laminate -- 6.4 Problem 3: Failure Criteria -- 6.5 Problem 4: Ply-By-Ply Failure Loads -- References -- 7 Outlook to the Two-Dimensional Case -- 7.1 Introduction -- 7.2 Failure Analysis -- References -- Appendix A Mathematics -- A.1 Greek Alphabet -- A.2 Frequently Used Constants -- A.3 Special Products -- A.4 Trigonometric Functions -- A.5 Derivatives -- A.6 Taylor's Series Expansion -- A.7 Matrix Operations -- A.8 Solution of Linear Systems of Equations -- A.9 Elementary Geometry -- A.10 Analytical Geometry -- Appendix B Mechanics -- B.1 Centroids -- B.2 Second Moment of Area -- B.3 Parallel-Axis Theorem.Appendix C Units and Conversion -- C.1 SI Base Units -- C.2 Coherent SI Derived Units -- C.3 Consistent Units -- C.4 Conversion of Important English Units to the Metric System -- Index.Advanced Structured Materials Series620.118Öchsner Andreas317948MiAaPQMiAaPQMiAaPQBOOK9910746294703321A Simplified Approach to the Classical Laminate Theory of Composite Materials3568531UNINA