Nonlinear Computational Structural Mechanics: New Approaches and Non-Incremental Methods of Calculation: Mechanical Engineering Series
Autor Pierre Ladeveze Traducere de J.G. Simmondsen Limba Engleză Hardback – 7 dec 1998
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Springer – 7 dec 1998 | 380.47 lei 43-57 zile |
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Specificații
ISBN-13: 9780387985947
ISBN-10: 0387985948
Pagini: 222
Ilustrații: XII, 222 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.5 kg
Ediția:1999
Editura: Springer
Colecția Springer
Seria Mechanical Engineering Series
Locul publicării:New York, NY, United States
ISBN-10: 0387985948
Pagini: 222
Ilustrații: XII, 222 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.5 kg
Ediția:1999
Editura: Springer
Colecția Springer
Seria Mechanical Engineering Series
Locul publicării:New York, NY, United States
Public țintă
GraduateCuprins
1 The Reference Problem for Small Disturbances.- 1.1. Notation.- 1.2. The reference problem.- 1.3. Sufficient conditions assuring uniqueness.- 1.4. Analogy with the basic problem of fluid mechanics.- 2 Material Models.- 2.1. Formulation with internal variables.- 2.2. Examples of material models.- 2.3. Formulation of the constitutive relation.- 2.4. Normal formulation of a constitutive model.- 2.5. Error as measured by the constitutive relation (error in CR).- 3 Solution Methods for Nonlinear Evolution Problems.- 3.1. The principle of incremental methods.- 3.2. Differential equation formulation of the reference problem.- 3.3. A general presentation of some classical methods for solving nonlinear problems.- 3.4. Other approaches to nonlinear evolution problems.- 4 Principles of the Method of Large Time Increments.- 4.1. Mechanics framework for the method of large time increments.- 4.2. Algorithms for two search directions.- 4.3. The local step.- 4.4. The global linear step.- 4.5. Convergence.- 4.6. A posteriori error estimates.- 4.7. Remarks.- 5 A Preliminary Example: A Beam in Traction.- 5.1. Quasi-static analysis for a viscoplastic material.- 5.2. Static analysis for a hyperelastic material.- 6 A “Mechanics Approximation” and Numerical Implementation.- 6.1. Discretization in time and space.- 6.2. Numerical treatment of the local step.- 6.3. Treatment of the linear global step in statics.- 6.4. Decomposition and approximation of the “radial loading” type for a function defined on ? × [0T].- 6.5. Applications and analysis of performance.- 7 Modeling and Calculation for Structures under Cyclic Loads.- 7.3. Treatment of the linear global step.- 7.4. A one-dimensional example.- 7.5. Example: viscoplastic disk with a loading of 1,000 cycles.- 8 Formulation and“Parallel” Strategies in Mechanics.- 8.1. Remarks on the degree of parallelism in the equations of reference.- 8.2. Partioning of the body into sub-structures and interfaces.- 8.3. Treatment of a static assemblage of elastic structures.- 8.4. Convergence for a static assemblage of elastic structures.- 8.5. Dynamic and static treatment of an assemblage of structures with nonlinear behavior.- 9 Modeling and Computation for Large Deformations.- 9.1. Material quantities and modeling of their behavior.- 9.2. Pure material formulation of large deformations—bases.- 9.3. Kinematic and other properties.- 9.4. Purely material formulation of the equilibrium of the body—properties and approximations.- 9.5. Two different representations of the modeling and computation of large deformations.- 9.6. Approaches to large time increments.- 9.7. Remarks and an example.
Caracteristici
Provides practical applications of the methods for the design and optimization of structures and for the analysis of their reliability Presents the latest approaches and calculation methods to solve extremely complex problems Derives a general approach for understanding structural models and the necessary approximations