The Catalogue of Computational Material Models : Basic Geometrically Linear Models In 1D.

Format:

Book

Author/Creator:

Steinmann, Paul.

Contributor:

Runesson, Kenneth.

Language:

English

Subjects (All):

Linear models (Statistics).

Genre:

Electronic books.

Physical Description:

1 online resource (410 pages)

Place of Publication:

Cham : Springer International Publishing AG, 2021.

System Details:

text file PDF

Summary:

This book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each of these basic material models is a stand-alone account and follows in each case the same structure. On the one hand, this allows, in the true sense of a catalogue, to consult each of the basic material models separately without the need to refer to other basic material models. On the other hand, even though this somewhat repetitious concept may seem tedious, it allows to compare the formulation and resulting algorithmic setting of the various basic material models and thereby to uncover, in detail, similarities and differences. In particular, the response of each basic material model is analysed for the identical histories (Zig-Zag, Sine, Ramp) of prescribed strain and stress so as to clearly showcase and to contrast to each other the characteristics of the various modelling options.

Contents:

1. Introduction

2. Preliminaries

3. Elasticity

4. Visco-Elasticity

5. Plasticity

6. Visco-Plasticity.

Notes:

Description based upon print version of record.

Other Format:

Print version: Steinmann, Paul The Catalogue of Computational Material Models

ISBN:

9783030636845

3030636844

OCLC:

1237863556

Access Restriction:

Restricted for use by site license.