- COVER
- TITLE PAGE
- COPYRIGHT
- PREFACE
- CHAPTER 1: INTRODUCTION
- CHAPTER 2: KINEMATICS
- 2.1 MOTION DESCRIPTION
- 2.2 STRAIN COMPONENTS
- 2.3 OTHER DEFORMATION MEASURES
- 2.4 DECOMPOSITION OF DISPLACEMENT
- 2.5 VELOCITY AND ACCELERATION
- 2.6 COORDINATE TRANSFORMATION
- 2.7 OBJECTIVITY
- 2.8 CHANGE OF VOLUME AND AREA
- 2.9 CONTINUITY EQUATION
- 2.10 REYNOLDS' TRANSPORT THEOREM
- 2.11 EXAMPLES OF DEFORMATION
- 2.12 GEOMETRY CONCEPTS
- PROBLEMS
- CHAPTER 3: FORCES AND STRESSES
- CHAPTER 4: CONSTITUTIVE EQUATIONS
- 4.1 GENERALIZED HOOKE'S LAW
- 4.2 ANISOTROPIC LINEARLY ELASTIC MATERIALS
- 4.3 MATERIAL SYMMETRY
- 4.4 HOMOGENEOUS ISOTROPIC MATERIAL
- 4.5 PRINCIPAL STRAIN INVARIANTS
- 4.6 SPECIAL MATERIAL MODELS FOR LARGE DEFORMATIONS
- 4.7 LINEAR VISCOELASTICITY
- 4.8 NONLINEAR VISCOELASTICITY
- 4.9 A SIMPLE VISCOELASTIC MODEL FOR ISOTROPIC MATERIALS
- 4.10 FLUID CONSTITUTIVE EQUATIONS
- 4.11 NAVIER–STOKES EQUATIONS
- PROBLEMS
- CHAPTER 5: FINITE ELEMENT FORMULATION: LARGE-DEFORMATION, LARGE-ROTATION PROBLEM
- 5.1 DISPLACEMENT FIELD
- 5.2 ELEMENT CONNECTIVITY
- 5.3 INERTIA AND ELASTIC FORCES
- 5.4 EQUATIONS OF MOTION
- 5.5 NUMERICAL EVALUATION OF THE ELASTIC FORCES
- 5.6 FINITE ELEMENTS AND GEOMETRY
- 5.7 TWO-DIMENSIONAL EULER–BERNOULLI BEAM ELEMENT
- 5.8 TWO-DIMENSIONAL SHEAR DEFORMABLE BEAM ELEMENT
- 5.9 THREE-DIMENSIONAL CABLE ELEMENT
- 5.10 THREE-DIMENSIONAL BEAM ELEMENT
- 5.11 THIN-PLATE ELEMENT
- 5.12 HIGHER-ORDER PLATE ELEMENT
- 5.13 BRICK ELEMENT
- 5.14 ELEMENT PERFORMANCE
- 5.15 OTHER FINITE ELEMENT FORMULATIONS
- 5.16 UPDATED LAGRANGIAN AND EULERIAN FORMULATIONS
- 5.17 CONCLUDING REMARKS
- PROBLEMS
- CHAPTER 6: FINITE ELEMENT FORMULATION: SMALL-DEFORMATION, LARGE-ROTATION PROBLEM
- 6.1 BACKGROUND
- 6.2 ROTATION AND ANGULAR VELOCITY
- 6.3 FLOATING FRAME OF REFERENCE (FFR)
- 6.4 INTERMEDIATE ELEMENT COORDINATE SYSTEM
- 6.5 CONNECTIVITY AND REFERENCE CONDITIONS
- 6.6 KINEMATIC EQUATIONS
- 6.7 FORMULATION OF THE INERTIA FORCES
- 6.8 ELASTIC FORCES
- 6.9 EQUATIONS OF MOTION
- 6.10 COORDINATE REDUCTION
- 6.11 INTEGRATION OF FINITE ELEMENT AND MULTIBODY SYSTEM ALGORITHMS
- PROBLEMS
- CHAPTER 7: COMPUTATIONAL GEOMETRY AND FINITE ELEMENT ANALYSIS
- CHAPTER 8: PLASTICITY FORMULATIONS
- 8.1 ONE-DIMENSIONAL PROBLEM
- 8.2 LOADING AND UNLOADING CONDITIONS
- 8.3 SOLUTION OF THE PLASTICITY EQUATIONS
- 8.4 GENERALIZATION OF THE PLASTICITY THEORY: SMALL STRAINS
- 8.5 J2 FLOW THEORY WITH ISOTROPIC/KINEMATIC HARDENING
- 8.6 NONLINEAR FORMULATION FOR HYPERELASTIC–PLASTIC MATERIALS
- 8.7 HYPERELASTIC–PLASTIC J2 FLOW THEORY
- PROBLEMS
- REFERENCES
- INDEX
- End User License Agreement
COMPUTATIONAL CONTINUUM MECHANICS THIRD EDITION
THIRD EDITION
AHMED A. SHABANA
Richard and Loan Hill Professor of Engineering
University of Illinois at Chicago
Chicago, Illinois, USA
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