RecordNumber
86
Author
Marcelo Epsteina, Jedrzej Sniatyckib
Title of Article
Fractal mechanics
Title Of Journal
Physica D: Nonlinear Phenomena
PublishInfo
Elsevier
Publication Year
2006
Volum
220
Issue Number
1
Page
54-68
Keywords
Solid mechanics , Differential geometry , Differential spaces , Fractals , Finite elements
Notes
براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد
Abstract
A mechanical theory of fractals and of non-smooth objects in general is developed on the basis of the theory of differential spaces of Sikorski. Once the (generally infinite dimensional) configuration space is identified, an extended form of the principle of virtual work is used to define the concept of generalized force and stress. For the case of self-similar fractals, an appropriate integration based on the Hausdorff measure is introduced and applied to the numerical formulation of stiffness matrices of some common fractals, which can be used in a finite element implementation.
URL
http://www.sciencedirect.com/science/article/pii/S0167278906002296,/DL/Data Entry/DataEntryForm/EnterDocInfo.aspx,/DL/Data Entry/NewEdit/Documents/Math_English_Electronic_Articles_EditDoc_925.aspx