The finite element method for three-dimensional thermomechanical applications /

Annotation Though many 'finite element' books exist, this book provides a unique focus on developing the method for three-dimensional, industrial problems. This is significant as many methods which work well for small applications fail for large scale problems, which generally:are not so w...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dhondt, Guido D. C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hoboken, NJ : Wiley, 2004.
Temas:
Thermal stresses > Mathematical models.
Finite element method.
Contraintes thermiques > Modèles mathématiques.
Méthode des éléments finis.
SCIENCE > Nanoscience.
Finite element method
Thermal stresses > Mathematical models
Finite-Elemente-Methode
Thermomechanische Eigenschaft
Mechanical Engineering.
FACsci
ER > Internet > Book > Full text
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Machine derived contents note: Preface.
  • 1. Displacements, Strain, Stress and Energy.
  • The Reference State.
  • The Spatial State.
  • Strain Measures.
  • Principal Strains.
  • Velocity.
  • Objective Tensors.
  • Balance Laws.
  • Localization of the Balance Laws.
  • The Weak Form of the Balance of Momentum.
  • The Weak Form of the Energy Balance.
  • Constitutive Equations.
  • Elastic Materials.
  • Fluids.
  • 2. Linear Mechanical Applications.
  • General Equations.
  • The Shape Functions.
  • Numerical Integration.
  • Extrapolation of Integration Point Values to the Nodes.
  • Problematic Element Behavior.
  • Linear Constraints.
  • Transformations.
  • Loading.
  • Modal Analysis.
  • Cyclic Symmetry.
  • Dynamics: the alpha-method.
  • 3. Geometric Nonlinear Effects.
  • General Equations.
  • Application to a Snapping-through Plate.
  • Solution Dependent Loading.
  • Nonlinear Multiple Point Constraints.
  • Rigid Body Motion.
  • Mean Rotation.
  • Kinematic Constraints.
  • Incompressibility Constraint.
  • 4. Hyperelastic Materials.
  • Polyconvexity of the Stored Energy Function.
  • Isotropic Hyperelastic Materials.
  • Non-Homogeneous Shear Experiment.
  • Derivatives of Invariants and Principal Stretches.
  • Tangent Stiffness Matrix at Zero Deformation.
  • Inflation of a Balloon.
  • Anisotropic Hyperelasticity.
  • 5. Infinitesimal Strain Plasticity.
  • Introduction.
  • The General Framework of Plasticity.
  • Three-Dimensional Single Surface Viscoplasticity.
  • Three-Dimensional Multisurface Viscoplasticity: the Cailletaud Single Crystal Model.
  • Anisotropic Elasticity with a von Mises Type Yield Surface.
  • 6. Finite Strain Elastoplasticity.
  • Multiplicative Decomposition of the Deformation Gradient.
  • Deriving the Flow Rule.
  • Isotropic Hyperelasticity with a von Mises Type Yield Surface.
  • Extensions.
  • Summary of the Equations.
  • Stress Update Algorithm.
  • Derivation of Consistent Elastoplastic Moduli.
  • Isochoric Plastic Deformation.
  • Burst Calculation of a Compressor.
  • 7. Heat Transfer.
  • Introduction.
  • The Governing Equations.
  • Weak Form of the Energy Equation.
  • Finite Element Procedure.
  • Time Discretization and Linearization of the Governing Equation.
  • Forced Fluid Convection.
  • Cavity Radiation.
  • Bibliography.

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