عنوان

Nonsmooth mechanics and convex optimization

(Number (ISBN

9781420094237 (hardback)

Country Code

IR

Number

E-8143

.Language of Text, Soundtrack etc

انگلیسی

Country of publication

IR

Title Proper

Nonsmooth mechanics and convex optimization

General Material Designation

[Book]

First Statement of Responsibility

/ Yoshihiro Kanno

Place of Publication, Distribution, etc.

Boca Raton, FL

Name of Publisher, Distributor, etc.

: CRC Press,

Date of Publication, Distribution, etc.

, c2011.

Specific Material Designation and Extent of Item

xix, 424 p.

Other Physical Details

: ill.

Dimensions

; 24 cm.

Text of Note

Print - Electronic

Text of Note

Includes bibliographical references (p. 381-415) and index.

Text of Note

"The principal subject of this book is to discuss how to make use of theory and algorithms of optimization for treating problems in applied mechanics in a comprehensive way. Particular emphasis, however, is to be put on the two terms involved in the title, \nonsmooth" and \convex", which distinguish the methodology of the present work from the conventional methods in applied and computational mechanics. This book consists of four parts, dealing with the abstract framework of convex analysis for comprehensive treatment of nonsmooth mechanics (Chapters 1-3), demonstration of our methodology through in-depth study of a selected class of structures (Chapters 4-5), numerical algorithms for solving the problems in nonsmooth mechanics (Chapters 6-7), and the application of theoretical and numerical methodologies to the problems covering many topics in nonsmooth mechanics (Chapters 8-11). After more than three decades since the work by Duvaut-Lions, the author hopes that the present work serves as a new bridge between nonsmooth mechanics of deformable bodies and modern convex optimization. Although this book is primarily aimed at mechanicians, it also provides applied mathematicians with a successful case-study in which achievements of modern mathematical engineering are fully applied to real-world problems. Basic and detailed exposition of the notion of complementarity and its links with convex analysis, including many examples taken from applied mechanics, may open a new door for the communities of applied and computational mechanics to a comprehensive treatment of nonsmoothness properties"--Provided by publisher.

Text of Note

"This book presents a methodology for comprehensive treatment of nonsmooth laws in mechanics in accordance with contemporary theory and algorithms of optimization. The author deals with theory and numeiral algorithms comprehensively, providing a new perspective n nonsmooth mechanics based on contemporary optimization. Covering linear programs; semidefinite programs; second-order cone programs; complementarity problems; optimality conditions; Fenchel and Lagrangian dualities; algorithms of operations research, and treating cable networks; membranes; masonry structures; contact problems; plasticity, this is an ideal guide of nonsmooth mechanics for graduate students and researchers in civil and mechanical engineering, and applied mathematics"--Provided by publisher.

Contact mechanics--Mathematics

Mechanics, Applied--Mathematics

Mechanics, Analytic.

Nonsmooth mathematical analysis.

Nonsmooth optimization.

Convex sets.

Duality theory (Mathematics)

Number

Class number

Book number

Kanno, Yoshihiro, 1976

Country

ایران

Host name

Nonsmooth mechanics and convex optimization/

Access number

عادی

Compression information

عادی

Electronic name

E-8143.pdf

Bits per second

0

Contact for access assistance

ایمانی

Electronic Format Type

متن

File size

0

Record control number

E-8143

Public note

انگلیسی

old catalog

pe

BL

1

a

Y