عنوان

Tensor-valued random fields for continuum physics /

(Number (ISBN

1108429858

(Number (ISBN

9781108429856

Erroneous ISBN

9781108567800 (PDF ebook)

Title Proper

Tensor-valued random fields for continuum physics /

General Material Designation

[Book]

First Statement of Responsibility

Anatoliy Malyarenko (Mälardalen University Sweden), Martin Ostoja-Starzewski (University of Illinois).

Place of Publication, Distribution, etc.

New York, NY :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

x, 302 pages :

Other Physical Details

illustrations ;

Dimensions

26 cm.

Series Title

Cambridge monographs on mathematical physics

Text of Note

Includes bibliographical references and index.

Text of Note

Introduction to continuum theories -- Mathematical preliminaries -- Mathematical results -- Tensor random fields in continuum theories.

0

Text of Note

"Many areas of continuum physics pose a challenge to physicists. What are the most general, admissible statistically homogeneous and isotropic tensor-valued random fields (TRFs)? Previously, only the TRFs of rank 0 were completely described. This book assembles a complete description of such fields in terms of one- and two-point correlation functions for tensors of ranks 1 through 4. Working from the standpoint of invariance of physical laws with respect to the choice of a coordinate system, spatial domain representations, as well as their wavenumber domain counterparts are rigorously given in full detail. The book also discusses, an introduction to a range of continuum theories requiring TRFs, an introduction to mathematical theories necessary for the description of homogeneous and isotropic TRFs, and a range of applications including a strategy for simulation of TRFs, ergodic TRFs, scaling laws of stochastic constitutive responses, and applications to stochastic partial differential equations." - publisher

International Standard Book Number

9781108567800

Field theory (Physics)

Geometry, Differential.

Random fields.

Tensor fields.

Field theory (Physics)

Geometry, Differential.

Random fields.

Tensor fields.

Number

Edition

Class number

Book number

Malyarenko, Anatoliy

Ostoja-Starzewski, Martin

Date of Transaction

20200822150954.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y