LEADER 03258nam 22004093 450 001 9910746294703321 005 20230922080256.0 010 $a3-031-38192-0 035 $a(CKB)28270174700041 035 $a(MiAaPQ)EBC30749691 035 $a(Au-PeEL)EBL30749691 035 $a(EXLCZ)9928270174700041 100 $a20230922d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Simplified Approach to the Classical Laminate Theory of Composite Materials $eApplication of Bar and Beam Elements 205 $a1st ed. 210 1$aCham :$cSpringer,$d2023. 210 4$d©2023. 215 $a1 online resource (132 pages) 225 1 $aAdvanced Structured Materials Series ;$vv.192 311 $a9783031381911 327 $aIntro -- 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. 327 $aAppendix C Units and Conversion -- C.1 SI Base Units -- C.2 Coherent SI Derived Units -- C.3 Consistent Units -- C.4 Conversion of Important English Units to the Metric System -- Index. 410 0$aAdvanced Structured Materials Series 676 $a620.118 700 $aÖchsner$b Andreas$0317948 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910746294703321 996 $aA Simplified Approach to the Classical Laminate Theory of Composite Materials$93568531 997 $aUNINA