LEADER 10697nam 2200709 450 001 9910153151703321 005 20230802010553.0 010 $a1-292-01402-4 035 $a(CKB)2550000001123642 035 $a(SSID)ssj0001259696 035 $a(PQKBManifestationID)12544265 035 $a(PQKBTitleCode)TC0001259696 035 $a(PQKBWorkID)11305112 035 $a(PQKB)10942324 035 $a(MiAaPQ)EBC5173877 035 $a(MiAaPQ)EBC5175818 035 $a(MiAaPQ)EBC5832891 035 $a(MiAaPQ)EBC5137518 035 $a(MiAaPQ)EBC5483637 035 $a(MiAaPQ)EBC6401153 035 $a(Au-PeEL)EBL5137518 035 $a(OCoLC)1024284913 035 $a(EXLCZ)992550000001123642 100 $a20190828d2012 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to finite elements in engineering /$fTirupathi R. Chandrupatla, Ashok D. Belegundu ; international contributions by T. Ramesh, Chaitali Ray 205 $aFourth edition. 210 1$aUpper Saddle River :$cPearson,$d[2012] 210 4$d©2012 215 $a1 online resource (517 pages) $cillustrations 225 1 $aAlways learning 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-273-76368-7 311 $a1-299-94108-7 320 $aIncludes bibliographical references and index. 327 $aCover -- PREFACE -- ABOUT THE AUTHORS -- Contents -- 1 FUNDAMENTAL CONCEPTS -- 1.1 Introduction -- 1.2 Historical Background -- 1.3 Outline of Presentation -- 1.4 Stresses and Equilibrium -- 1.5 Boundary Conditions -- 1.6 Strain-Displacement Relations -- 1.7 Stress-Strain Relations -- Special Cases -- 1.8 Temperature Effects -- 1.9 Potential Energy and Equilibrium: The Rayleigh-Ritz Method -- Potential Energy,? -- Rayleigh-Ritz Method -- 1.10 Galerkin's Method -- 1.11 Saint Venant's Principle -- 1.12 Von Mises Stress -- 1.13 Principle of Superposition -- 1.14 Computer Programs -- 1.15 Conclusion -- Historical References -- Problems -- 2 MATRIX ALGEBRA AND GAUSSIAN ELIMINATION -- 2.1 Matrix Algebra -- Row and Column Vectors -- Addition and Subtraction -- Multiplication by a Scalar -- Matrix Multiplication -- Transposition -- Differentiation and Integration -- Square Matrix -- Diagonal Matrix -- Identity Matrix -- Symmetric Matrix -- Upper Triangular Matrix -- Determinant of a Matrix -- Matrix Inversion -- Eigenvalues and Eigenvectors -- Positive Definite Matrix -- Cholesky Decomposition -- 2.2 Gaussian Elimination -- General Algorithm for Gaussian Elimination -- Symmetric Matrix -- Symmetric Banded Matrices -- Solution with Multiple Right Sides -- Gaussian Elimination with Column Reduction -- Skyline Solution -- Frontal Solution -- 2.3 Conjugate Gradient Method for Equation Solving -- Conjugate Gradient Algorithm -- Input Data/Output -- Problems -- Program Listings -- 3 ONE-DIMENSIONAL PROBLEMS -- 3.1 Introduction -- 3.2 Finite Element Modeling -- Element Division -- Numbering Scheme -- 3.3 Shape Functions and Local Coordinates -- 3.4 The Potential-Energy Approach -- Element Stiffness Matrix -- Force Terms -- 3.5 The Galerkin Approach -- Element Stiffness -- Force Terms -- 3.6 Assembly of the Global Stiffness Matrix and Load Vector. 327 $a3.7 Properties of K -- 3.8 The Finite Element Equations: Treatment of Boundary Conditions -- Types of Boundary Conditions -- Elimination Approach -- Penalty Approach -- Multipoint Constraints -- 3.9 Quadratic Shape Functions -- 3.10 Temperature Effects -- 3.11 Problem Modeling and Boundary Conditions -- Problem in Equilibrium -- Symmetry -- Two Elements with Same End Displacements -- Problem with a Closing Gap -- Input Data/Output -- Problems -- Program Listing -- 4 TRUSSES -- 4.1 Introduction -- 4.2 Plane Trusses -- Local and Global Coordinate Systems -- Formulas for Calculating l and m -- Element Stiffness Matrix -- Stress Calculations -- Temperature Effects -- 4.3 Three-Dimensional Trusses -- 4.4 Assembly of Global Stiffness Matrix for the Banded and Skyline Solutions -- Assembly for Banded Solution -- Skyline Assembly -- 4.5 Problem Modeling and Boundary Conditions -- Inclined Support in Two Dimensions -- Inclined Support in Three Dimensions-Line Constraint -- Inclined Support in Three Dimensions-Plane Constraint -- Symmetry and Antisymmetry -- Input Data/Output -- Problems -- Program Listing -- 5 BEAMS AND FRAMES -- 5.1 Introduction -- Potential-Energy Approach -- Galerkin Approach -- 5.2 Finite Element Formulation -- Element Stiffness-Direct Approach -- 5.3 Load Vector -- 5.4 Boundary Considerations -- 5.5 Shear Force and Bending Moment -- 5.6 Beams on Elastic Supports -- 5.7 Plane Frames -- 5.8 Three-Dimensional Frames -- 5.9 Problem Modeling and Boundary Conditions -- 5.10 Some Comments -- Input Data/Output -- Problems -- Program Listings -- 6 TWO-DIMENSIONAL PROBLEMS USING CONSTANT STRAIN TRIANGLES -- 6.1 Introduction -- 6.2 Finite Element Modeling -- 6.3 Constant Strain Triangle (CST) -- Isoparametric Representation -- Potential-Energy Approach -- Element Stiffness -- Force Terms -- Integration Formula on a Triangle -- Galerkin Approach. 327 $aStress Calculations -- Temperature Effects -- 6.4 Problem Modeling and Boundary Conditions -- Some General Comments on Dividing into Elements -- 6.5 Patch Test and Convergence -- Patch Test -- 6.6 Orthotropic Materials -- Temperature Effects -- Input Data/Output -- Problems -- Program Listing -- 7 AXISYMMETRIC SOLIDS SUBJECTED TO AXISYMMETRIC LOADING -- 7.1 Introduction -- 7.2 Axisymmetric Formulation -- 7.3 Finite Element Modeling: Triangular Element -- Potential Energy Approach -- Body Force Term -- Rotating Flywheel -- Surface Traction -- Galerkin Approach -- Stress Calculations -- Temperature Effects -- 7.4 Problem Modeling and Boundary Conditions -- Cylinder Subjected to Internal Pressure -- Infinite Cylinder -- Press Fit on a Rigid Shaft -- Press Fit on an Elastic Shaft -- Belleville Spring -- Thermal Stress Problem -- Input Data/Output -- Problems -- Program Listing -- 8 TWO-DIMENSIONAL ISOPARAMETRIC ELEMENTS AND NUMERICAL INTEGRATION -- 8.1 Introduction -- 8.2 The Four-Node Quadrilateral -- Shape Functions -- Element Stiffness Matrix -- Element Force Vectors -- 8.3 Numerical Integration -- Two-Dimensional Integrals -- Stiffness Integration -- Stress Calculations -- 8.4 Higher Order Elements -- Nine-Node Quadrilateral -- Eight-Node Quadrilateral -- Six-Node Triangle -- Integration on a Triangle-Symmetric Points -- Integration on a Triangle-Degenerate Quadrilateral -- 8.5 Four-Node Quadrilateral for Axisymmetric Problems -- 8.6 Conjugate Gradient Implementation of the Quadrilateral Element -- 8.7 Concluding Remarks and Convergence -- 8.8 References for Convergence -- Input Data/Output -- Problems -- Program Listings -- 9 THREE-DIMENSIONAL PROBLEMS IN STRESS ANALYSIS -- 9.1 Introduction -- 9.2 Finite Element Formulation -- Element Stiffness -- Force Terms -- 9.3 Stress Calculations -- 9.4 Mesh Preparation. 327 $a9.5 Hexahedral Elements and Higher Order Elements -- 9.6 Problem Modeling -- 9.7 Frontal Method for Finite Element Matrices -- Connectivity and Prefront Routine -- Element Assembly and Consideration of Specified dof -- Elimination of Completed dof -- Backsubstitution -- Consideration of Multipoint Constraints -- Input Data/Output -- Problems -- Program Listings -- 10 SCALAR FIELD PROBLEMS -- 10.1 Introduction -- 10.2 Steady-State Heat Transfer -- One-Dimensional Heat Conduction -- One-Dimensional Heat Transfer in Thin Fins -- Two-Dimensional Steady-State Heat Conduction -- Two-Dimensional Fins -- Preprocessing for Program HEAT2D -- 10.3 Torsion -- Triangular Element -- Galerkin Approach[sup(2)] -- 10.4 Potential Flow, Seepage, Electric and Magnetic Fields, and Fluid Flow in Ducts -- Potential Flow -- Seepage -- Electrical and Magnetic Field Problems -- Fluid Flow in Ducts -- Acoustics -- Boundary Conditions -- One-Dimensional Acoustics -- One-Dimensional Axial Vibrations -- Two-Dimensional Acoustics -- 10.5 Conclusion -- Input Data/Output -- Problems -- Program Listings -- 11 DYNAMIC CONSIDERATIONS -- 11.1 Introduction -- 11.2 Formulation -- Solid Body with Distributed Mass -- 11.3 Element Mass Matrices -- 11.4 Evaluation of Eigenvalues and Eigenvectors -- Properties of Eigenvectors -- Eigenvalue-Eigenvector Evaluation -- Inverse Iteration Method -- Generalized Jacobi Method -- Tridiagonalization and Implicit Shift Approach -- Bringing Generalized Problem to Standard Form -- Tridiagonalization -- Implicit Symmetric QR Step with Wilkinson Shift for Diagonalization[sup(2)] -- 11.5 Interfacing with Previous Finite Element Programs and a Program for Determining Critical Speeds of Shafts -- 11.6 Guyan Reduction -- 11.7 Rigid Body Modes -- 11.8 Conclusion -- Input Data/Output -- Problems -- Program Listings -- 12 PREPROCESSING AND POSTPROCESSING. 327 $a12.1 Introduction -- 12.2 Mesh Generation -- Region and Block Representation -- Block Corner Nodes, Sides, and Subdivisions -- 12.3 Postprocessing -- Deformed Configuration and Mode Shape -- Contour Plotting -- Nodal Values from Known Constant Element Values for a Triangle -- Least-Squares Fit for a Four-Noded Quadrilateral -- 12.4 Conclusion -- Input Data/Output -- Problems -- Program Listings -- APPENDIX Proof of dA = det Jd? d? -- BIBLIOGRAPHY -- ANSWERS TO SELECTED PROBLEMS -- INDEX. 330 $aIntroduction to Finite Engineering is ideal for senior undergraduate and first-year graduate students and also as a learning resource to practicing engineers. This book provides an integrated approach to finite element methodologies. The development of finite element theory is combined with examples and exercises involving engineering applications. The steps used in the development of the theory are implemented in complete, self-contained computer programs. While the strategy and philosophy of the previous editions has been retained, the Fourth Edition has been updated and improved to include new material on additional topics. 410 0$aAlways learning. 606 $aFinite element method 606 $aEngineering mathematics$vTextbooks 615 0$aFinite element method. 615 0$aEngineering mathematics 676 $a620.001/51825 700 $aChandrupatla$b Tirupathi R.$f1944-$01373259 702 $aBelegundu$b Ashok D.$f1956- 702 $aRamesh$b T.$f1972- 702 $aRay$b Chaitali 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910153151703321 996 $aIntroduction to finite elements in engineering$93404345 997 $aUNINA LEADER 03512nam 22007575 450 001 9910739448203321 005 20200701141455.0 010 $a3-642-35969-8 024 7 $a10.1007/978-3-642-35969-9 035 $a(CKB)3460000000120313 035 $a(EBL)1206091 035 $a(SSID)ssj0000879122 035 $a(PQKBManifestationID)11546402 035 $a(PQKBTitleCode)TC0000879122 035 $a(PQKBWorkID)10857830 035 $a(PQKB)10102065 035 $a(DE-He213)978-3-642-35969-9 035 $a(MiAaPQ)EBC1206091 035 $a(PPN)169138968 035 $a(EXLCZ)993460000000120313 100 $a20130305d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aInteraction of Ultrashort Electromagnetic Pulses with Matter /$fby Valeriy Astapenko 205 $a1st ed. 2013. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013. 215 $a1 online resource (94 p.) 225 1 $aSpringerBriefs in Physics,$x2191-5423 300 $aDescription based upon print version of record. 311 $a3-642-35968-X 320 $aIncludes bibliographical references. 327 $aOscillator in an Electromagnetic field -- Interaction of Ultrashort Electromagnetic Pulses with a Substance: Description in the Framework of Perturbation Theory -- Two-Level System in the Field of Ultrashort Electromagnetic Pulses. 330 $aThe book is devoted to the theory describing the interaction of  ultra-short electromagnetic pulses (USP) with matter, including both classical and quantum cases. This theme is a hot topic in modern physics because of the great achievements in generating USP. Special attention is given to the peculiarities of UPS-matter interaction. One of the important items of this book is the derivation and applications of a new formula which describes the total photo-process probability under the action of USP in the framework of perturbation theory. Strong field-matter interaction is also considered with the use of the Bloch formalism in a two-level approximation for UPS with variable characteristics.  . 410 0$aSpringerBriefs in Physics,$x2191-5423 606 $aAtoms 606 $aPhysics 606 $aLasers 606 $aPhotonics 606 $aOptics 606 $aElectrodynamics 606 $aAtoms and Molecules in Strong Fields, Laser Matter Interaction$3https://scigraph.springernature.com/ontologies/product-market-codes/P24025 606 $aOptics, Lasers, Photonics, Optical Devices$3https://scigraph.springernature.com/ontologies/product-market-codes/P31030 606 $aClassical Electrodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21070 615 0$aAtoms. 615 0$aPhysics. 615 0$aLasers. 615 0$aPhotonics. 615 0$aOptics. 615 0$aElectrodynamics. 615 14$aAtoms and Molecules in Strong Fields, Laser Matter Interaction. 615 24$aOptics, Lasers, Photonics, Optical Devices. 615 24$aClassical Electrodynamics. 676 $a537.6 676 $a537.6/226 676 $a537.6226 700 $aAstapenko$b Valeriy$4aut$4http://id.loc.gov/vocabulary/relators/aut$0935773 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739448203321 996 $aInteraction of Ultrashort Electromagnetic Pulses with Matter$93553874 997 $aUNINA