LEADER 05347nam 2200649 450 001 9910452772203321 005 20200520144314.0 010 $a0-08-099441-5 035 $a(CKB)2550000001125746 035 $a(EBL)1429417 035 $a(OCoLC)862831743 035 $a(SSID)ssj0001139539 035 $a(PQKBManifestationID)11626962 035 $a(PQKBTitleCode)TC0001139539 035 $a(PQKBWorkID)11214262 035 $a(PQKB)10770308 035 $a(MiAaPQ)EBC1429417 035 $a(CaSebORM)9780080983561 035 $a(PPN)178539589 035 $a(Au-PeEL)EBL1429417 035 $a(CaPaEBR)ebr10775006 035 $a(CaONFJC)MIL526387 035 $a(EXLCZ)992550000001125746 100 $a20131014h20142014 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe finite element method $ea practical course /$fG.R. Liu, School of Aerospace Systems, University of Cincinnati, USA, S.S. Quek, Institute of High Performance Computing, Singapore 205 $aSecond edition. 210 1$aAmsterdam :$cElsevier,$d[2014] 210 4$dİ2014 215 $a1 online resource (457 p.) 300 $aDescription based upon print version of record. 311 $a0-08-098356-1 311 $a1-299-95136-8 320 $aIncludes bibliographical references and index. 327 $aHalf Title; Title Page; Copyright; Dedication; Biography; Contents; Preface to the First Edition; 1 Computational Modeling; 1.1 Introduction; 1.2 Physical problems in engineering; 1.3 Computational modeling using FEM; 1.3.1 Modeling of the geometry; 1.3.2 Meshing; 1.3.3 Material or medium properties; 1.3.4 Boundary, initial, and loading conditions; 1.4 Solution procedure; 1.4.1 Discrete system equations; 1.4.2 Equation solvers; 1.5 Results visualization; 2 Briefing on Mechanics for Solids and Structures; 2.1 Introduction; 2.2 Equations for three-dimensional solids; 2.2.1 Stress and strain 327 $a2.2.2 Constitutive equations2.2.3 Dynamic equilibrium equations; 2.2.4 Boundary conditions; 2.3 Equations for two-dimensional solids; 2.3.1 Stress and strain; 2.3.2 Constitutive equations; 2.3.3 Dynamic equilibrium equations; 2.4 Equations for truss members; 2.4.1 Stress and strain; 2.4.2 Constitutive equations; 2.4.3 Dynamic equilibrium equations; Solution; 2.5 Equations for beams; 2.5.1 Stress and strain; 2.5.2 Constitutive equations; 2.5.3 Moments and shear forces; 2.5.4 Dynamic equilibrium equations; 2.6 Equations for plates; 2.6.1 Stress and strain; 2.6.2 Constitutive equations 327 $a2.6.3 Moments and shear forces2.6.4 Dynamic equilibrium equations; 2.6.5 Reissner-Mindlin plate; 2.7 Remarks; 2.8 Review questions; 3 Fundamentals for Finite Element Method; 3.1 Introduction; 3.2 Strong and weak forms: problem formulation; 3.3 Hamilton's principle: A weak formulation; 3.3.1 Hamilton's principle; 3.3.2 Minimum total potential energy principle; 3.4 FEM procedure; 3.4.1 Domain discretization; 3.4.2 Displacement interpolation; 3.4.3 Standard procedure for constructing shape functions; 3.4.3.1 On the inverse of the moment matrix; 3.4.3.2 On the compatibility of the shape functions 327 $a3.4.3.3 On other means of construct shape functions3.4.4 Properties of the shape functions; 3.4.5 Formulation of finite element equations in local coordinate system; 3.4.6 Coordinate transformation; 3.4.7 Assembly of global FE equation; 3.4.8 Imposition of displacement constraints; 3.4.9 Solving the global FE equation; 3.5 Static analysis; 3.6 Analysis of free vibration (eigenvalue analysis); 3.7 Transient response; 3.7.1 Central difference algorithm; 3.7.2 Newmark's method (Newmark, 1959); 3.8 Remarks; 3.8.1 Summary of shape function properties 327 $a3.8.2 Sufficient requirements for FEM shape functions3.8.3 Recap of FEM procedure; 3.9 Review questions; 4 FEM for Trusses; 4.1 Introduction; 4.2 FEM equations; 4.2.1 Shape function construction; 4.2.2 Strain matrix; 4.2.3 Element matrices in the local coordinate system; 4.2.4 Element matrices in the global coordinate system; 4.2.4.1 Spatial trusses; 4.2.4.2 Planar trusses; 4.2.5 Boundary conditions; 4.2.6 Recovering stress and strain; 4.3 Worked examples; Exact solution; FEM solution; 4.3.1 Properties of the FEM; 4.3.1.1 Reproduction property of the FEM 327 $a4.3.1.2 Convergence property of the FEM 330 $aWritten for practicing engineers and students alike, this book emphasizes the role of finite element modeling and simulation in the engineering design process. It provides the necessary theories and techniques of the FEM in a concise and easy-to-understand format and applies the techniques to civil, mechanical, and aerospace problems. Updated throughout for current developments in FEM and FEM software, the book also includes case studies, diagrams, illustrations, and tables to help demonstrate the material. Plentiful diagrams, illustrations and tables demonstrate the mat 606 $aFinite element method 608 $aElectronic books. 615 0$aFinite element method. 676 $a457 700 $aLiu$b G. R$0318267 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910452772203321 996 $aThe finite element method$91913575 997 $aUNINA