1 / 8

Numerical modeling of rock deformation 03 :: Continuum Mechanics

Goals of today. Understand the concept of Taylor series expansionDerive the conservation equations formasslinear momentumangular momentum. Conservation equations. The fundamental equations of continuum mechanics describe the conservation ofmasslinear momentumangular momentumenergyThere exi

salene
Download Presentation

Numerical modeling of rock deformation 03 :: Continuum Mechanics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

    1. Numerical modeling of rock deformation 03 :: Continuum Mechanics www.structuralgeology.ethz.ch/education/teaching_material/numerical_modeling Fallsemester 2011 Thursdays 10:15 12:00 NO D11 & NO CO1 Marcel Frehner marcel.frehner@erdw.ethz.ch, NO E3 Assistant: Jonas Ruh, NO E69

    2. Goals of today Understand the concept of Taylor series expansion Derive the conservation equations for mass linear momentum angular momentum

    3. Conservation equations The fundamental equations of continuum mechanics describe the conservation of mass linear momentum angular momentum energy There exist several approaches to derive the conservation equations of continuum mechanics: Variational methods (virtual work) Based on integro-differential equations (e.g., Stokes theorem) Balance of forces and fluxes based on Taylor terms We use in this lecture the balance of forces and fluxes in 2D, because it may be the simplest and most intuitive approach.

    4. Conservation of mass Taylor series expansion Mass flux at left boundary Mass flux at right boundary Mass flux at bottom boundary Mass flus at top boundary

More Related