000			13677nam a2200385 i 4500
008			110419s2012 flua b 001 0 eng
010			_a2011011224
020			_a9781439845837 _q(hardback)
020			_a1439845832 _q(hardback)
040			_aDLC _beng _cDLC _dYDX _dBTCTA _dYDXCP _dUKMGB _dBWX _dCDX
049			_aBAUN_MERKEZ
050	0	4	_aQA808.2 _b.D536 2012
100	1		_aDill, Ellis Harold, _d1932-
245	1	4	_aThe finite element method for mechanics of solids with ANSYS applications / _c[author], Ellis H. Dill.
264		1	_aBoca Raton, Fla. : _bCRC Press, _c[2012]
264		4	_c©2012
300			_axv, 492 pages : _bill ; _c25 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aAdvances in engineering series
504			_aIncludes bibliographical references and index.
505	0	0	_tContents _t Preface _t Author _tchapter 1 Finite Element Concepts _t1.1. Introduction _t1.2. Direct Stiffness Method _t1.2.1. Merging the Element Stiffness Matrices _t1.2.2. Augmenting the Element Stiffness Matrix _t1.2.3. Stiffness Matrix Is Banded _t1.3. The Energy Method _t1.4. Truss Example _t1.5. Axially Loaded Rod Example _t1.5.1. Augmented Matrices for the Rod _t1.5.2. Merge of Element Matrices for the Rod _t1.6. Force Method _t1.7. Other Structural Components _t1.7.1. Space Truss _t1.7.2. Beams and Frames _t1.7.2.1. General Beam Equations _t1.7.3. Plates and Shells _t1.7.4. Two- or Three-Dimensional Solids _t1.8. Problems _t References _t Bibliography _tchapter 2 Linear Elasticity _t2.1. Basic Equations _t2.1.1. Geometry of Deformation _t2.1.2. Balance of Momentum _t2.1.3. Virtual Work _t2.1.4. Constitutive Relations _t2.1.5. Boundary Conditions and Initial Conditions _t2.1.6. Incompressible Materials _t2.1.7. Plane Strain _t2.1.8. Plane Stress _t2.1.9. Tensile Test _t2.1.10. Pure Shear _t2.1.11. Pure Bending _t2.1.12. Bending and Shearing _t2.1.13. Properties of Solutions _t2.1.14. A Plane Stress Example with a Singularity in Stress _t2.2. Potential Energy _t2.2.1. Proof of Minimum Potential Energy _t2.3. Matrix Notation _t2.4. Axially Symmetric Deformations _t2.4.1. Cylindrical Coordinates _t2.4.2. Axial Symmetry _t2.4.3. Plane Stress and Plane Strain _t2.5. Problems _t References _t Bibliography _tchapter 3 Finite Element Method for Linear Elasticity _t3.1. Finite Element Approximation _t3.1.1. Potential Energy _t3.1.2. Finite Element Equations _t3.1.3. Basic Equations in Matrix Notation _t3.1.4. Basic Equations Using Virtual Work _t3.1.5. Underestimate of Displacements _t3.1.6. Nondimensional Equations _t3.1.7. Uniaxial Stress _t3.2. General Equations for an Assembly of Elements _t3.2.1. Generalized Variational Principle _t3.2.2. Potential Energy _t3.2.3. Hybrid Displacement Functional _t3.2.4. Hybrid Stress and Complementary Energy _t3.2.5. Mixed Methods of Analysis _t3.3. Nearly Incompressible Materials _t3.3.1. Nearly Incompressible Plane Strain _t Bibliography _tchapter 4 The Triangle and the Tetrahedron _t4.1. Linear Functions over a Triangular Region _t4.2. Triangular Element for Plane Stress and Plane Strain _t4.3. Plane Quadrilateral from Four Triangles _t4.3.1. Square Element Formed from Four Triangles _t4.4. Plane Stress Example: Short Beam _t4.4.1. Extrapolation of the Solution _t4.5. Linear Strain Triangles _t4.6. Four-Node Tetrahedron _t4.7. Ten-Node Tetrahedron _t4.8. Problems _tchapter 5 The Quadrilateral and the Hexahedron _t5.1. Four-Node Plane Rectangle _t5.1.1. Stress Calculations _t5.1.2. Plane Stress Example: Pure Bending _t5.1.3. Plane Strain Example: Bending with Shear _t5.1.4. Plane Stress Example: Short Beam _t5.2. Improvements to Four-Node Quadrilateral _t5.2.1. Wilson[–]Taylor Quadrilateral _t5.2.2. Enhanced Strain Formulation _t5.2.3. Approximate Volumetric Strains _t5.2.4. Reduced Integration on the k Term _t5.2.5. Reduced Integration on the λ Term _t5.2.6. Uniform Reduced Integration _t5.2.7. Example Using Improved Elements _t5.3. Numerical Integration _t5.4. Coordinate Transformations _t5.5. Isoparametric Quadrilateral _t5.5.1. Wilson-Taylor Element _t5.5.2. Three-Node Triangle as a Special Case of Rectangle _t5.6. Eight-Node Quadrilateral _t5.6.1. Nodal Loads _t5.6.2. Plane Stress Example: Pure Bending _t5.6.3. Plane Stress Example: Bending with Shear _t5.6.4. Plane Stress Example: Short Beam _t5.6.5. General Quadrilateral Element _t5.7. Eight-Node Block _t5.8. Twenty-Node Solid _t5.9. Singularity Element _t5.10. Mixed U-P Elements _t5.10.1. Plane Strain _t5.10.2. Alternative Formulation for Plane Strain _t5.10.3. 3D Elements _t5.11. Problems _t References _t Bibliography _tchapter 6 Errors and Convergence of Finite Element Solution _t6.1. General Remarks _t6.2. Element Shape Limits _t6.2.1. Aspect Ratio _t6.2.2. Parallel Deviation for a Quadrilateral _t6.2.3. Large Corner Angle _t6.2.4. Jacobian Ratio _t6.3. Patch Test _t6.3.1. Wilson-Taylor Quadrilateral _t References _tchapter 7 Heat Conduction in Elastic Solids _t7.1. Differential Equations and Virtual Work _t7.2. Example Problem: One-Dimensional Transient Heat Flux _t7.3. Example: Hollow Cylinder _t7.4. Problems _tchapter 8 Finite Element Method for Plasticity _t8.1. Theory of Plasticity _t8.1.1. Tensile Test _t8.1.2. Plane Stress _t8.1.3. Summary of Plasticity _t8.2. Finite Element Formulation for Plasticity _t8.2.1. Fundamental Solution _t8.2.2. Iteration to Improve the Solution _t8.3. Example: Short Beam _t8.4. Problems _t Bibliography _tchapter 9 Viscoelasticity _t9.1. Theory of Linear Viscoelasticity _t9.1.1. Recurrence Formula for History _t9.1.2. Viscoelastic Example _t9.2. Finite Element Formulation for Viscoelasticity _t9.2.1. Basic Step-by-Step Solution Method _t9.2.2. Step-by-Step Calculation with Load Correction _t9.2.3. Plane Strain Example _t9.3. Problems _t Bibliography _tchapter 10 Dynamic Analyses _t10.1. Dynamical Equations _t10.1.1. Lumped Mass _t10.1.2. Consistent Mass _t10.2. Natural Frequencies _t10.2.1. Lumped Mass _t10.2.2. Consistent Mass _t10.3. Mode Superposition Solution _t10.4. Example: Axially Loaded Rod _t10.4.1. Exact Solution for Axially Loaded Rod _t10.4.2. Finite Element Model _t10.4.2.1. One-Element Model _t10.4.2.2. Two-Element Model _t10.4.3. Mode Superposition for Continuum Model of the Rod _t10.5. Example: Short Beam _t10.6. Dynamic Analysis with Damping _t10.6.1. Viscoelastic Damping _t10.6.2. Viscous Body Force _t10.6.3. Analysis of Damped Motion by Mode Superposition _t10.7. Numerical Solution of Differential Equations _t10.7.1. Constant Average Acceleration _t10.7.2. General Newmark Method _t10.7.3. General Methods _t10.7.3.1. Implicit Methods in General _t10.7.3.2. Explicit Methods in General _t10.7.4. Stability Analysis of Newmark's Method _t10.7.5. Convergence, Stability, and Error _t10.7.6. Example: Numerical Integration for Axially Loaded Rod _t10.8. Example: Analysis of Short Beam _t10.9. Problems _t Bibliography _tchapter 11 Linear Elastic Fracture Mechanics _t11.1. Fracture Criterion _t11.1.1. Analysis of Sheet _t11.1.2. Fracture Modes _t11.1.2.1. Mode I _t11.1.2.2. Mode II _t11.1.2.3. Mode III _t11.2. Determination of K by Finite Element Analysis _t11.2.1. Crack Opening Displacement Method _t11.3. J-Integral for Plane Regions _t11.4. Problems _t References _t Bibliography _tchapter 12 Plates and Shells _t12.1. Geometry of Deformation _t12.2. Equations of Equilibrium _t12.3. Constitutive Relations for an Elastic Material _t12.4. Virtual Work _t12.5. Finite Element Relations for Bending _t12.6. Classical Plate Theory _t12.7. Plate Bending Example _t12.8. Problems _t References _t Bibliography _tchapter 13 Large Deformations _t13.1. Theory of Large Deformations _t13.1.1. Virtual Work _t13.1.2. Elastic Materials _t13.1.3. Mooney-Rivlin Model of an Incompressible Material _t13.1.4. Generalized Mooney-Rivlin Model _t13.1.5. Polynomial Formula _t13.1.6. Ogden's Function _t13.1.7. Blatz-Ko Model _t13.1.8. Logarithmic Strain Measure _t13.1.9. Yeoh Model _t13.1.10. Fitting Constitutive Relations to Experimental Data _t13.1.10.1. Volumetric Data _t13.1.10.2. Tensile Test _t13.1.10.3. Biaxial Test _t13.2. Finite Elements for Large Displacements _t13.2.1. Lagrangian Formulation _t13.2.2. Basic Step-by-Step Analysis _t13.2.3. Iteration Procedure _t13.2.4. Updated Reference Configuration _t13.2.5. Example I _t13.2.6. Example II _t13.3. Structure of Tangent Modulus _t13.4. Stability and Buckling _t13.4.1. Beam-Column _t13.5. Snap Through Buckling _t13.5.1. Shallow Arch _t13.6. Problems _t References _t Bibliography _tchapter 14 Constraints and Contact _t14.1. Application of Constraints _t14.1.1. Lagrange Multipliers _t14.1.2. Perturbed Lagrangian Method _t14.1.3. Penalty Functions _t14.1.4. Augmented Lagrangian Method _t14.2. Contact Problems _t14.2.1. Example: A Truss Contacts a
505	0	0	_t Rigid Foundation _t14.2.1.1. Load Fy> 0 Is Applied with Fx = 0 _t14.2.1.2. Loads Are Ramped Up Together: Fx = 27a, Fy = 12.8a _t14.2.2. Lagrange Multiplier, No Friction Force _t14.2.2.1. Stick Condition _t14.2.2.2. Slip Condition _t14.2.3. Lagrange Multiplier, with Friction _t14.2.3.1. Stick Condition _t14.2.3.2. Slip Condition _t14.2.4. Penalty Method _t14.2.4.1. Stick Condition _t14.2.4.2. Slip Condition _t14.3. Finite Element Analysis _t14.3.1. Example: Contact of a Cylinder with a Rigid Plane _t14.3.2. Hertz Contact Problem _t14.4. Dynamic Impact _t14.5. Problems _t References _t Bibliography _tchapter 15 ANSYS APDL Examples _t15.1. ANSYS Instructions _t15.1.1. ANSYS File Names _t15.1.2. Graphic Window Controls _t15.1.2.1. Graphics Window Logo _t15.1.2.2. Display of Model _t15.1.2.3. Display of Deformed and Undeformed Shape White on White _t15.1.2.4. Adjusting Graph Colors _t15.1.2.5. Printing from Windows Version of ANSYS _t15.1.2.6. Some Useful Notes _t15.2. ANSYS Elements SURF153, SURF154 _t15.3. Truss Example _t15.4. Beam Bending _t15.5. Beam with a Distributed Load _t15.6. One Triangle _t15.7. Plane Stress Example Using Triangles _t15.8. Cantilever Beam Modeled as Plane Stress _t15.9. Plane Stress: Pure Bending _t15.10. Plane Strain Bending Example _t15.11. Plane Stress Example: Short Beam _t15.12. Sheet with a Hole _t15.12.1. Solution Procedure _t15.13. Plasticity Example _t15.14. Viscoelasticity Creep Test _t15.15. Viscoelasticity Example _t15.16. Mode Shapes and Frequencies of a Rod _t15.17. Mode Shapes and Frequencies of a Short Beam _t15.18. Transient Analysis of Short Beam _t15.19. Stress Intensity Factor by Crack Opening Displacement _t15.20. Stress Intensity Factor by J-Integral _t15.21. Stretching of a Nonlinear Elastic Sheet _t15.22. Nonlinear Elasticity: Tensile Test _t15.23. Column Buckling _t15.24. Column Post-Buckling _t15.25. Snap Through _t15.26. Plate Bending Example _t15.27. Clamped Plate _t15.28. Gravity Load on a Cylindrical Shell _t15.29. Plate Buckling _t15.30. Heated Rectangular Rod _t15.31. Heated Cylindrical Rod _t15.32. Heated Disk _t15.33. Truss Contacting a Rigid Foundation _t15.34. Compression of a Rubber Cylinder between Rigid Plates _t15.35. Hertz Contact Problem _t15.36. Elastic Rod Impacting a Rigid Wall _t15.37. Curve Fit for Nonlinear Elasticity Using Blatz-Ko Model _t15.38. Curve Fit for Nonlinear Elasticity Using Polynomial Model _t Bibliography _tchapter 16 ANSYS Workbench _t16.1. Two- and Three-Dimensional Geometry _t16.2. Stress Analysis _t16.3. Short Beam Example _t16.3.1. Short Beam Geometry _t16.3.2. Short Beam, Static Loading _t16.3.3. Short Beam, Transient Analysis _t16.4. Filleted Bar Example _t16.5. Sheet with a Hole _t Bibliography _t Index
520			_a"The finite element method (FEM) has become the standard method used by engineers for the solution of static and dynamic problems for elastic and inelastic structures and machines. This volume explores the theory behind the method and instruction in use of ANSYS, a commonly used commercial finite element program. Totally, self contained, the book provides the necessary background on solid mechanics (elasticity, plasticity, viscoelasticity) and mathematics. It includes theory and examples and contains detailed instructions for solutions using ANSYS for small and large deformation elasticity, plasticity, viscoelasicity, vibrations, wave propagation, fracture mechanics, building, plates and shells, and contact problems"-- _cProvided by publisher.
520			_a"The purpose of this book is to explain the application of finite the element method to problems in the mechanics of solids. It is intended for practicing engineers who use the finite element method for stress analysis and for graduate students in engineering who want to understand the finite element method for their research. It is also designed to be a textbook for a graduate course in engineering. The application of the finite element method is illustrated by using the ANSYSʼ computer program. Step by step instructions for the use of ANSYS APDL and ANSYS Workbench in more than 40 examples are included. The required background material in the mechanics of solids is provided so that the work is self-contained for the knowledgeable reader. A more complete treatment of solid mechanics is provided in the book: Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity, by Ellis H. Dill, CRC Press, 2007. References to that book are abbreviated by 'Dill: Chapter--'"
650		0	_aContinuum mechanics.
650		0	_aFinite element method.
650		0	_aEngineering mathematics.
650		0	_aANSYS (Computer system)
830		0	_9110122 _aAdvances in engineering series.
900			_a34896
900			_bsatın
942			_2lcc _cKT
999			_c32149 _d32149