LEADER 03538nam 22005655 450 001 9911061836003321 005 20260129120355.0 010 $a3-031-95856-X 024 7 $a10.1007/978-3-031-95856-4 035 $a(CKB)45063844200041 035 $a(MiAaPQ)EBC32529949 035 $a(Au-PeEL)EBL32529949 035 $a(DE-He213)978-3-031-95856-4 035 $a(EXLCZ)9945063844200041 100 $a20260129d2026 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aImplementation of Beam-Type Finite Elements Based on Carrera Unified Formulation /$fby Erasmo Carrera, Gerlando Augello, Riccardo Augello 205 $a1st ed. 2026. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2026. 215 $a1 online resource (336 pages) 225 1 $aEngineering Series 311 08$a3-031-95855-1 327 $aIntroduction -- Stiffness matrix of a bar element -- Stiffness matrix of a beam bending around z axis -- Numerical remedies against shear locking -- Stiffness matrix of a beam bending around x axis -- Stiffness matrix of a beam subjected by a torsion -- Stiffness matrix of a beam under combined load -- Fundamental Nucleus using Unified Formulation -- Stiffness Matrix with Node-Dependent Kinematic -- Application to the analysis of real structures. 330 $aThis book offers a comprehensive exploration of advanced finite element methods for modeling and analyzing beam-like structures. Moving beyond traditional 1D finite elements, it introduces the Carrera Unified Formulation (CUF), a versatile framework that unifies various structural behaviors under a single mathematical approach. The work addresses key challenges in finite element modeling, particularly shear locking, and provides practical solutions through techniques such as reduced and selectively reduced integration and mixed formulations. It also introduces Node-Dependent Kinematics (NDK), enabling localized refinement for high-accuracy results without excessive computational costs. Designed for students, researchers, and professionals, the book includes MATLAB scripts to aid in deriving stiffness matrices for beam structures, bridging the gap between theoretical foundations and practical application. Clear, step-by-step instructions make complex concepts accessible, fostering both analytical understanding and hands-on skills. Whether you are an engineering student, a researcher in structural mechanics, or a practicing engineer, this book serves as an invaluable resource for mastering finite element techniques and applying CUF in real-world scenarios. 410 0$aEngineering Series 606 $aMechanics, Applied 606 $aMathematics$xData processing 606 $aPhysics 606 $aEngineering Mechanics 606 $aComputational Mathematics and Numerical Analysis 606 $aClassical and Continuum Physics 615 0$aMechanics, Applied. 615 0$aMathematics$xData processing. 615 0$aPhysics. 615 14$aEngineering Mechanics. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aClassical and Continuum Physics. 676 $a620.1 700 $aCarrera$b Erasmo$0920381 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911061836003321 996 $aImplementation of Beam-Type Finite Elements Based on Carrera Unified Formulation$94536149 997 $aUNINA