Inelastic mesomechanics / Vratislav Kafka.

Format:

Book

Author/Creator:

Kafka, Vratislav.

Series:

SERIES IN THEORETICAL AND APPLIED MECHANICS

Series in theoretical and applied mechanics, 0218-0235 ; v. 5

Language:

English

Subjects (All):

Elasticity--Mathematical models.

Elasticity.

Strains and stresses--Mathematical models.

Strains and stresses.

Materials.

Deformations (Mechanics).

Physical Description:

1 online resource (174 p.)

Place of Publication:

Singapore : World Scientific, c1987.

Language Note:

English

Summary:

This monograph presents solutions and examples of application of several problems of mechanics connected with the behavior of the macroscale with that on the mesoscale.

Contents:

CONTENTS; Inelastic Mesomechanics; INTRODUCTION; SYMBOLIC NOTATION; I. MESOMECHANICS OF INELASTIC DEFORMATION; I.1 Materials With Macroscopic Isotropy in the Virgin State; I.1.1 General Description of Strain- and Stress - Distribution; I.1.2 The Fundamental Theorem of the Mathematical Model; I.1.3 Model Description of Strain- and Stress- Distribution; I.1.4- Specific Stress Power; I.1.5 The Basic Relations Among Internal Stress Components for the A- Model and Strain Components for the B- Model; I.1.6 Constitutive Equations of Material Constituents; I.1. 7 The Complete Set of Basic Equations

I.1.8 The Complete System of Combinations of Compact and Loose Infrastructures of the Material Constituents.I.1.9 An Important Example of a Two-Phase Model; I.1.9. 1 Compact infrastructures; I.1.9.2 Loose infrastructures; I.1.9.3 The elastic inclusions in the inelastic matrix; I.1.9.4 The inelastic inclusions in the elastic matrix; I.1.9.5 Homogeneous stress model; I.1.9.6 Homogeneous strain model; I.1.9.7 Two demonstrative schemes: the elastic constituent the viscous one and the elastic constituent with the plastic one

I.1.9.8 Comparison with some theoretical solutions resulting from other methodsI.1.10 The Solution to the Identification Problem Based on the Elastic-Plastic Stress-Strain Diagram; I.1.11 Applications to Polycrystalline Metals; I.1.11.1 Determination of the Volume Fraction of the Material Constituents; I.1.11.2 Determination of the Stored Energy after Plastic Deformation; I.1.11.3 Changes of the Yield Surfaces; I.1.11.4 The Influence of the Rate of Loading upon the Stress-Strain Curve and upon the Strength; I.1.11.5 The yield-point jog

I.1.11.6 The influence of the loading history upon the stress-strain diagram and upon the strengthI.1.12 The Solution to the Identification Problem Based on the Flow-Curve; I.1.13 Applications to Concrete; I.1.13.1 Creep of concrete; I.1.13.2 Cracking under compression; I.1.13.3 Quasihomogeneous stable microfracturing; I.1.14 Final Remarks on the Model for Materials with Macroscopic Isotropy; I.2 Materials with Macroscopic Anisotropy in the Virgin State; I.2.1 Transversely Isotropic Materials; I.2.2 An Important Example of a Transversely Isotropic Two-Phase Model

1.2.3. The Solution to the Identification Problem Based on the Flow- Curve for a Transversely Isotropic MaterialI.2.4 Transversely Isotropic Materials with Unidirectional Continuous Fibers; I.2.4.1 Macroscopic Yield Condition of a Material with Unidirectional Continuous Fibers; I.2.4.2 The Solution to the identification problem based on the stress

strain diagram for a material with unidirectional continuous fibers.; I.2.5 Final Remarks on the Model for Materials with Macroscopic Transverse Isotropy; II. MESOMECHANICAL LIMIT ANALYSIS; II. 1 The Upper Bound Expressed in Terms of Stresses

II. 2 The Upper Bound Expressed in Terms of Strains

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9781283635714

1283635712

9789812797261

9812797262

OCLC:

813395960