UID:
almafu_9959327031202883
Format:
1 online resource (xxi, 340 pages) :
,
illustrations
Edition:
Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010.
ISBN:
0470857625
,
9780470857625
,
0470857528
,
9780470857526
,
0470021217
,
9780470021217
Content:
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 well posed introduce stringent computer time conditions require robust solution techniques. Starting from sound continuum mechanics principles, derivation in this book focuses only on proven methods. Coverage of all different aspects of linear and nonlinear thermal mechanical problems in solids are described, thereby avoiding distracting the reader with extraneous solutions paths. Emphasis is put on consistent representation and includes the examination of topics which are not frequently found in other texts, such as cyclic symmetry, rigid body motion and nonlinear multiple point constraints. Advanced material formulations include anisotropic hyperelasticity, large strain multiplicative viscoplasticity and single crystal viscoplasticity. Finally, the methods described in the book are implemented in the finite element software CalculiX, which is freely available (www.calculix.de; the GNU General Public License applies). Suited to industry practitioners and academic researchers alike, The Finite Element Method for Three-Dimensional Thermomechanical Applications expertly bridges the gap between continuum mechanics and the finite element method.
Note:
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.
,
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Additional Edition:
Print version: Dhondt, Guido D.C. Finite element method for three-dimensional thermomechanical applications. Hoboken, NJ : Wiley, 2004 ISBN 0470857528
Language:
English
Subjects:
Mathematics
Keywords:
Electronic books.
;
Electronic books.
;
Electronic books.
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/0470021217
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/0470021217
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/0470021217
