Boundary Value Problems Of Finite Elasticity
Download Boundary Value Problems Of Finite Elasticity full books in PDF, epub, and Kindle. Read online free Boundary Value Problems Of Finite Elasticity ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Boundary Value Problems of Finite Elasticity
Author | : Tullio Valent |
Publisher | : Springer Science & Business Media |
Total Pages | : 201 |
Release | : 2013-03-07 |
Genre | : Science |
ISBN | : 146123736X |
Download Boundary Value Problems of Finite Elasticity Book in PDF, Epub and Kindle
In this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal generalization of three-dimensional elasticity. Such a generalization, be sides being quite spontaneous, allows us to consider a great many inter esting mathematical situations, and sometimes allows us to clarify certain aspects of the three-dimensional case. Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality. Note that I concentrate on simultaneous local existence and uniqueness; thus, I do not deal with the more general theory of exis tence. Moreover, I restrict my discussion to compressible elastic bodies and I do not treat unilateral problems. The clever use of the inverse function theorem in finite elasticity made by STOPPELLI [1954, 1957a, 1957b], in order to obtain local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I aims to give a very brief introduction to some general concepts in the mathematical theory of elasticity, in order to show how the boundary value problems studied in the sequel arise. Chapter II is very technical; it supplies the framework for all sub sequent developments.
Boundary Value Problems of Finite Elasticity Related Books
Pages: 201
Pages: 0
Pages: 63
Pages: 65
Pages: 473