Solutions for local problems using elliptic integrals of Cauchy type : An approach from the complex variable theory

Language: English

Published by LAP Lambert Academic Publishing, 2019

613987033X / 9786139870332

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - This material contains a large part of the doctoral work of the young researcher Raúl Felipe Sosa. In this, the local problems that arise in the Asymptotic Homogenization Method are approached from a novel approach, which allows the study of the elastic macroscopic properties of a fibrous composite. Local problems are plane problems of elasticity that were studied in the first half of the 20th century by G.V. Kolosov and his PhD student N. I. Muskhelishvili. These two mathematicians exploited the potentialities of the complex variable to solve these problems and introduced the so-called Kolosov-Muskhelishvili potentials associated with bi-harmonic functions. In this book, this approach is followed. The local problems have a complex formulation and what used to be a system of partial differential equations becomes a complex boundary problem whose unknowns are the potentials of Kolosov-Muskhelishvili. In this book this approach is used to solve the flat problems for a fibrous composite material where the contact between the matrix and the fiber is imperfect. Given the periodicity of these problems, elliptic integrals of the Cauchy type are used to solve the complex boundary problem.

Seller Inventory # 9786139870332

Title
Solutions for local problems using elliptic integrals of Cauchy type : An approach from the complex variable theory
Author
Raúl Felipe Sosa
Publisher
LAP Lambert Academic Publishing
Publication year
2019
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
613987033X
ISBN 13
9786139870332
Item weight
185 grams
Dimensions
220x150x33 mm

AHA-BUCH GmbH

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