Guido Dhondt

The Finite Element Method for Three-Dimensional Thermomechanical Applications

• Gebundenes Buch

Produktbeschreibung

Unlike other books that lack clear statements for large-scale problems, this book provides a unique focus on developing the finite element method for three-dimensional, industrial problems. It fully describes how to deal with all different aspects of linear and nonlinear thermal mechanical problems in solids, with emphasis on a consistent representation.

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The Finite Element Method for Three-Dimensional Thermomechanical Applications offers basic and advanced methods for using the finite element method for three-dimensional, industrial problems.
_ Covers cyclic symmetry, rigid body motion, and nonlinear multiple point constraints.
_ Offers advanced material formulations, including large strain multiplicative viscoplasticity, anisotropic hyperelastic materials and single crystals.
_ All methods are implemented using the finite element software CalculiX, which is freely available (GNU General Public License applies).

Produktdetails

• Verlag: Wiley & Sons
• 1. Auflage
• Seitenzahl: 362
• Erscheinungstermin: 18. Juni 2004
• Englisch
• Abmessung: 251mm x 174mm x 26mm
• Gewicht: 836g
• ISBN-13: 9780470857526
• ISBN-10: 0470857528
• Artikelnr.: 12987584

Autorenporträt

Guido Dhondt obtained his civil engineering degree at the Catholic University of Leuven, Belgium (1983), going on to undertake a Ph.D. in Civil Engineering at Princeton University, USA (1987). Presently, he works in the field of fracture mechanics and finite element analysis at MTU Aero Engines, Germany. He is one of the authors of the free software finite element program CalculiX.

Inhaltsangabe

Preface. Nomenclature. 1 Displacements, Strain, Stress and Energy. 1.1 The
Reference State. 1.2 The Spatial State. 1.3 Strain Measures. 1.4 Principal
Strains. 1.5 Velocity. 1.6 Objective Tensors. 1.7 Balance Laws. 1.8
Localization of the Balance Laws. 1.9 The Stress Tensor. 1.10 The Balance
Laws in Material Coordinates. 1.11 The Weak Form of the Balance of
Momentum. 1.12 The Weak Form of the Energy Balance. 1.13 Constitutive
Equations. 1.14 Elastic Materials. 1.15 Fluids. 2 Linear Mechanical
Applications. 2.1 General Equations. 2.2 The Shape Functions. 2.3 Numerical
Integration. 2.4 Extrapolation of Integration Point Values to the Nodes.
2.5 Problematic Element Behavior. 2.6 Linear Constraints. 2.7
Transformations. 2.8 Loading. 2.9 Modal Analysis. 2.10 Cyclic Symmetry.
2.11 Dynamics: The ±-Method. 3 Geometric Nonlinear Effects. 3.1 General
Equations. 3.2 Application to a Snapping-through Plate. 3.3
Solution-dependent Loading. 3.4 Nonlinear Multiple Point Constraints. 3.5
Rigid Body Motion. 3.6 Mean Rotation. 3.7 Kinematic Constraints. 3.8
Incompressibility Constraint. 4 Hyperelastic Materials. 4.1 Polyconvexity
of the Stored-energy Function. 4.2 Isotropic Hyperelastic Materials. 4.3
Nonhomogeneous Shear Experiment. 4.4 Derivatives of Invariants and
Principal Stretches. 4.5 Tangent Stiffness Matrix at Zero Deformation. 4.6
Inflation of a Balloon. 4.7 Anisotropic Hyperelasticity. 5 Infinitesimal
Strain Plasticity. 5.1 Introduction. 5.2 The General Framework of
Plasticity. 5.3 Three-dimensional Single Surface Viscoplasticity. 5.4
Three-dimensional Multisurface Viscoplasticity: the Cailletaud Single
Crystal Model. 5.5 Anisotropic Elasticity with a von Mises-type Yield
Surface. 6 Finite Strain Elastoplasticity. 6.1 Multiplicative Decomposition
of the Deformation Gradient. 6.2 Deriving the Flow Rule. 6.3 Isotropic
Hyperelasticity with a von Mises-type Yield Surface. 6.4 Extensions. 6.5
Summary of the Equations. 6.6 Stress Update Algorithm. 6.7 Derivation of
Consistent Elastoplastic Moduli. 6.8 Isochoric Plastic Deformation. 6.9
Burst Calculation of a Compressor. 7 Heat Transfer. 7.1 Introduction. 7.2
The Governing Equations. 7.3 Weak Form of the Energy Equation. 7.4 Finite
Element Procedure. 7.5 Time Discretization and Linearization of the
Governing Equation. 7.6 Forced Fluid Convection. 7.7 Cavity Radiation.
References. Index.