LEADER 05385nam 2200661 a 450 001 9910812911603321 005 20240501150438.0 010 $a0-19-157467-8 010 $a9786612354779 010 $a1-282-35477-9 035 $a(CKB)2560000000298269 035 $a(EBL)472350 035 $a(OCoLC)502287564 035 $a(SSID)ssj0000339280 035 $a(PQKBManifestationID)11297380 035 $a(PQKBTitleCode)TC0000339280 035 $a(PQKBWorkID)10324114 035 $a(PQKB)10264710 035 $a(StDuBDS)EDZ0000072406 035 $a(MiAaPQ)EBC472350 035 $a(Au-PeEL)EBL472350 035 $a(CaPaEBR)ebr10351335 035 $a(CaONFJC)MIL235477 035 $a(EXLCZ)992560000000298269 100 $a20030925d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 13$aAn introduction to nonlinear finite element analysis /$fJ.N. Reddy 205 $a1st ed. 210 $aOxford ;$aNew York $cOxford University Press$d2004 215 $a1 online resource (482 p.) 300 $aDescription based upon print version of record. 311 $a0-19-852529-X 311 $a0-19-171167-5 320 $aIncludes bibliographical references and index. 327 $aContents; Preface; 1 Introduction; 1.1 Mathematical Models; 1.2 Numerical Simulations; 1.3 The Finite Element Method; 1.4 Nonlinear Analysis; 1.4.1 Introduction; 1.4.2 Classification of Nonlinearities; 1.5 The Big Picture; References; 2 The Finite Element Method: A Review; 2.1 Introduction; 2.2 One-Dimensional Problems; 2.2.1 Governing Differential Equation; 2.2.2 Finite Element Approximation; 2.2.3 Derivation of the Weak Form; 2.2.4 Interpolation Functions; 2.2.5 Finite Element Model; 2.3 Two-Dimensional Problems; 2.3.1 Governing Differential Equation; 2.3.2 Finite Element Approximation 327 $a2.3.3 Weak Formulation2.3.4 Finite Element Model; 2.3.5 Interpolation Functions; 2.3.6 Assembly of Elements; 2.4 Library of Two-Dimensional Finite Elements; 2.4.1 Introduction; 2.4.2 Triangular Elements; 2.4.3 Rectangular Elements; 2.5 Numerical Integration; 2.5.1 Preliminary Comments; 2.5.2 Coordinate Transformations; 2.5.3 Integration Over a Master Rectangular Element; 2.5.4 Integration Over a Master Triangular Element; 2.6 Computer Implementation; 2.6.1 General Comments; 2.6.2 One-Dimensional Problems; 2.6.3 Two-Dimensional Problems; 2.7 Closure; Problems; References 327 $a3 Heat Transfer and Other Field Problems in One Dimension3.1 Model Differential Equation; 3.2 Weak Formulation; 3.3 Finite Element Model; 3.4 Solution Procedures; 3.4.1 General Comments; 3.4.2 Direct Iteration Procedure; 3.4.3 Newton's Iteration Procedure; 3.5 Computer Implementation; 3.5.1 Introduction; 3.5.2 Preprocessor Unit; 3.5.3 Processor Unit; 3.6 Closing Remarks; Problems; References; 4 Nonlinear Bending of Straight Beams; 4.1 Introduction; 4.2 Euler-Bernoulli Beams; 4.2.1 Basic Assumptions; 4.2.2 Displacement Field and Strains; 4.2.3 Weak Forms; 4.2.4 Finite Element Model 327 $a4.2.5 Iterative Solutions of Nonlinear Equations4.2.6 Load Increments; 4.2.7 Membrane Locking; 4.2.8 Computer Implementation; 4.3 Timoshenko Beams; 4.3.1 Displacement Field and Strains; 4.3.2 Weak Forms; 4.3.3 General Finite Element Model; 4.3.4 Shear and Membrane Locking; 4.3.5 Tangent Stiffness Matrix; Problems; References; 5 Heat Transfer and Other Fields Problems in Two Dimensions; 5.1 Model Equation; 5.2 Weak Form; 5.3 Finite Element Model; 5.4 Solution Procedures; 5.4.1 Direct Iteration; 5.4.2 Newton-Raphson Iteration; 5.5 Computer Implementation; 5.5.1 Introduction 327 $a5.5.2 Numerical Integration5.5.3 Element Calculations; Problems; References; 6 Nonlinear Bending of Elastic Plates; 6.1 Introduction; 6.2 Classical Plate Theory; 6.2.1 Assumptions of the Kinematics; 6.2.2 Displacement Field and Strains; 6.3 Variational Formulation of CPT; 6.3.1 Virtual Work; 6.3.2 Weak Forms; 6.3.3 Equilibrium Equations; 6.3.4 Boundary Conditions; 6.3.5 Stress Resultant-Deflection Relations; 6.4 Finite Element Models of CPT; 6.4.1 General Formulation; 6.4.2 Tangent Stiffness Coefficients; 6.4.3 Some Plate Finite Elements 327 $a6.5 Computer Implementation Aspects and Numerical Results of CPT Elements 330 $aThis book presents the theory and computer implementation of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics (flows of incompressible fluids), and solid mechanics (elasticity, beams and plates). Both geometric as well as material nonlinearities are considered, and static and transient (i.e. time-dependent) responses are studied. Although there exist a number of books on nonlinear finite elements that serve asgood references for engineers who are familiar with the subject and wish to learn advanced topics or the latest deve 606 $aFinite element method 606 $aNonlinear mechanics 615 0$aFinite element method. 615 0$aNonlinear mechanics. 676 $a518/.25 700 $aReddy$b J. N$g(Junuthula Narasimha),$f1945-$0459949 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812911603321 996 $aAn introduction to nonlinear finite element analysis$94109859 997 $aUNINA