Boundary value problems of finite elasticity : local theorems on existence, uniqueness, and analytic dependence on data / Tullio ValentType de document : Livre numériqueCollection : Springer tracts in natural philosophy, 31Langue : anglais.Éditeur : New York : Springer, cop. 1988ISBN : 9781461283263.ISSN : 0081-3877.Sujet MSC : 74B20, Mechanics of deformable solids -- Elastic materials, Nonlinear elasticity
35B30, Partial differential equations -- Qualitative properties of solutions, Dependence of solutions on initial and boundary data, parameters
34Bxx, Ordinary differential equations, Boundary value problems
74-02, Mechanics of deformable solids, Research exposition (monographs, survey articles)En-ligne : Springerlink | MSN | zbMath
... The book has six chapters, two appendices, and a short bibliography. Chapter 1 gives a quick survey to the general concepts of elasticity and it is useful only if one already knows the subject. Chapter 2 discusses the analytical basis necessary for the rest of the book, and it is very nice. It gives useful results on Sobolev and Schauder spaces. Chapter 3 discusses the linear problem, necessary for the application of the implicit function theorem. The following three chapters discuss special problems in elastostatics, starting with the boundary problem of place, then the general traction problem, that presents some analytical difficulties, and finally the boundary problem of pressure type.
One of the appendices deals with the implicit function theorem and the other with the representation of orthogonal matrices.(znMath)