Overview
This book presents a comprehensive and self-contained treatment of the authors’ newly developed scalable algorithms for the solutions of multibody contact problems of linear elasticity. The brand new feature of these algorithms is theoretically supported numerical scalability and parallel scalability demonstrated on problems discretized by billions of degrees of freedom. The theory supports solving multibody frictionless contact problems, contact problems with possibly orthotropic Tresca’s friction, and transient contact problems. It covers BEM discretization, jumping coefficients, floating bodies, mortar non-penetration conditions, etc. The exposition is divided into four parts, the first of which reviews appropriate facets of linear algebra, optimization, and analysis. The most important algorithms and optimality results are presented in the third part of the volume. The presentation is complete, including continuous formulation, discretization, decomposition, optimality results, and numerical experiments. The final part includes extensions to contact shape optimization, plasticity, and HPC implementation. Graduate students and researchers in mechanical engineering, computational engineering, and applied mathematics, will find this book of great value and interest.
Full Product Details
Author: Zdeněk Dostál ,
Tomáš Kozubek ,
Marie Sadowská ,
Vít Vondrák
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: Softcover reprint of the original 1st ed. 2016
Volume: 36
Dimensions:
Width: 15.50cm
, Height: 1.90cm
, Length: 23.50cm
Weight: 0.551kg
ISBN: 9781493983124
ISBN 10: 1493983121
Pages: 340
Publication Date: 12 July 2018
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
The methods presented in the book can be used for solving many problems, as demonstrated by the numerical results. The book can serve as an introductory text for anybody interested in contact problems. Graduate students and researchers in mechanical engineering, computational engineering, and applied mathematics, also will find this book of big value and interest. (V. Leontiev , zbMATH 1383.74002, 2018)
“The methods presented in the book can be used for solving many problems, as demonstrated by the numerical results. The book can serve as an introductory text for anybody interested in contact problems. Graduate students and researchers in mechanical engineering, computational engineering, and applied mathematics, also will find this book of big value and interest.” (V. Leontiev , zbMATH 1383.74002, 2018)
