1.

Record Nr.

UNINA9910783914403321

Titolo

Twenty years of Bialowieza [[electronic resource] ] : a mathematical anthology : aspects of differential geometric methods in physics / / editors, S. Twareque Ali ... [et al.]

Pubbl/distr/stampa

Hackensack, NJ, : World Scientific, c2005

ISBN

1-281-89699-3

9786611896997

981-270-124-9

Descrizione fisica

1 online resource (275 p.)

Collana

World Scientific monograph series in mathematics ; ; v. 8

Altri autori (Persone)

AliS. Twareque (Syed Twareque)

Disciplina

530.15/63/6

Soggetti

Mathematical physics

Geometry, Differential

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Preface; Contents; Chapter 1 Diffeomorphism Groups and Quantum Configurations; Chapter 2 Functorial Quantization and the Guillemin-Sternberg Conjecture; Chapter 3 Coherent State Method in Geometric Quantization; Chapter 4 The Group of Volume Preserving Diffeomorphisms and the Lie Algebra of Unimodular Vector Fields: Survey of Some Classical and Not-so-classical Results; Chapter 5 Moduli Space of Germs of Symplectic Connections of Ricci Type; Chapter 6 Banach Lie-Poisson Spaces; Chapter 7 Spectra of Operators Associated with Dynamical Systems: From Ergodicity to the Duality Principle

Chapter 8 An Ergodic Arnold-Liouville Theorem for Locally Symmetric SpacesChapter 9 The Renormalization Fixed Point as a Mathematical Object; Chapter 10 A Cohomological Description of Abelian Bundles and Gerbes; Chapter 11 On a Quantum Group of Unitary Operators: The Quantum 'az + b' Group

Sommario/riassunto

This volume marks the twentieth anniversary of the Bialowieza series of meetings on Differential Geometric Methods in Physics; the anniversary meeting was held during July 1-7, 2001. The Bialowieza meetings, held every year during the first week of July, have now grown into an annual



pilgrimage for an international group of physicists and mathematicians. The topics discussed at the meetings, while within the broad area of differential geometric methods in physics, have focused around quantization, coherent states, infinite dimensional systems, symplectic geometry, spectral theory and harmonic

2.

Record Nr.

UNINA9911106018203321

Titolo

Handbook of materials behavior models . Volume 1 Deformations of materials / / editor Jean Lemaitre

Pubbl/distr/stampa

San Diego, CA, : Academic, c2001

ISBN

1-281-04671-X

9786611046712

0-08-053363-9

Edizione

[1st ed.]

Descrizione fisica

1 online resource (1231 p.)

Altri autori (Persone)

LemaîtreJ <1934- > (Jean)

Disciplina

620.1/1/015118 21

620.11015118

620.112

Soggetti

Materials

Materials - Simulation methods

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Front Cover; Handbook of Materials Behavior Models; Copyright Page; Contents; Chapter 1. Background on mechanics of materials; 1.1 Background on modeling; 1.2 Materials and process selection; 1.3 Size effect on structural strength; Chapter 2. Elasticity, viscoelasticity; 2.1 Introduction to elasticity and viscoelasticity; 2.2 Background on nonlinear elasticity; 2.3 Elasticity of porous materials; 2.4 Elastomer models; 2.5 Background on viscoelasticity; 2.6 A nonlinear viscoelastic model based on fluctuating modes; 2.7 Linear viscoelasticity with damage; Chapter 3. Yield limit

3.1 Introduction to yield limits3.2 Background on isotropic criteria; 3.3 Yield loci based on crystallographic texture; 3.4 Anisotropic yield



conditions; 3.5 Distortional model of plastic hardening; 3.6 A generalized limit criterion with application to strength, yielding, and damage of isotropic materials; 3.7 Yield conditions in beams, plates, and shells; Chapter 4. Plasticity; 4.1 Introduction to plasticity; 4.2 Elastoplasticity of metallic polycrystals by the self-consistent model; 4.3 Anisotropic elastoplastic model based on crystallographic texture

4.4 Cyclic plasticity model with nonlinear isotropic and kinematic hardening: No LIKH model4.5 Multisurface hardening model for monotonic and cyclic response of metals; 4.6 Kinematic hardening rule with critical state of dynamic recovery; 4.7 Kinematic hardening rule for biaxial ratcheting; 4.8 Plasticity in large deformations; 4.9 Plasticity of polymers; 4.10 Rational phenomenology in dynamic plasticity; 4.11 Conditions for localization in plasticity and rate-independent materials; 4.12 An introduction to gradient plasticity; Chapter 5. Viscoplasticity; 5.1 Introduction to viscoplasticity

5.2 A phenomenological anisotropic creep model for cubic single crystals5.3 Crystalline viscoplasticity applied to single crystals; 5.4 Averaging of viscoplastic polycrystalline materials with the tangent self-consistent model; 5.5 Fraction models for inelastic deformation; 5.6 Inelastic compressible and incompressible, isotropic, small-strain viscoplasticity theory based on overstress (VBO); 5.7 An outline of the Bodner-Partom (BP) unified constitutive equations for elastic-viscoplastic behavior; 5.8 Unified model of cyclic viscoplasticity based on the nonlinear kinematic hardening rule

5.9 A model of nonproportional cyclic viscoplasticity5.10 Rate-dependent elastoplastic constitutive relations; 5.11 Physically based rate- and temperature-dependent constitutive models for metals; 5.12 Elastic-viscoplastic deformation of polymers; Chapter 6. Continuous damage; 6.1 Introduction to continuous damage; 6.2 Damage-equivalent stress-fracture criterion; 6.3 Micromechanically inspired continuous models of brittle damage; 6.4 Anisotropic damage; 6.5 Modified Gurson model; 6.6 The Rousselier model for porous metal plasticity and ductile fracture; 6.7 Model of anisotropic creep damage

6.8 Multiaxial fatigue damage criteria

Sommario/riassunto

This first of a kind reference/handbook deals with nonlinear models and properties of material. In the study the behavior of materials' phenomena no unique laws exist. Therefore, researchers often turn to models to determine the properties of materials.  This will be the first book to bring together such a comprehensive collection of these models.The Handbook deals with all solid materials, and is organized first by phenomena. Most of the materials models presented in an applications-oriented fashion, less descriptive and more practitioner-geared, making it useful in the daily w