bifurcation

Journal Club Theme of September 2014: Numerical modeling of thermo-hydro-mechanical coupling processes in porous media

Submitted by WaiChing Sun on Mon, 09/01/2014 - 15:14

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poromechanics

stabilized finite element

operator-splitting

thermo-hydro-mechanics

length scale

bifurcation

Thermo-hydro-mechanics (THM) is a branch of mechanics aimed to predict how deformable porous media behave, while heat transfer and fluid transport simultaneously occur in the pores filled by liquid and/or gas. Understanding these multi-physical responses is important for a wide spectrum of modern engineering applications, such as tissue scaffolding, geothermal heating, mineral exploration and mining, hydraulic fracture, energy piles, tunneling with frozen soil and nuclear waste storage and management.

3D finite element modeling for instabilities in thin films on soft substrates

Submitted by Fan Xu on Tue, 07/15/2014 - 08:15

Xu, F., Potier-Ferry, M., Belouettar, S., Cong, Y.,

International Journal of Solids and Structures (2014), doi: http://dx.doi.org/10.1016/j.ijsolstr.2014.06.023

Abstract:

Bathe's subspace iteration, how to find the largest eigenvalue/mode?

Submitted by Echeban on Wed, 03/12/2014 - 20:03

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Does anyone know how to modify Bathe's subspace iteration eigensolver to compute the highest eigenvalue instead of the smallest ?

Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations

Submitted by Oleg Kirillov on Sat, 10/26/2013 - 18:58

Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid- and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems.

Bifurcation Analysis in Abaqus

Submitted by AliADawood on Wed, 08/21/2013 - 17:36

Hello Everyone,

Im relatively new to Abaqus and I have to carry out a bifurcation analysis of a pipe. Once that is done I need to add the imperfection wavelength and amplitude calculated to the pipe and carry out further simulations.

Ive been trying very hard to get a direction as to where to start with it. Can anyone please help me with it? I know that you need to carry out a buckle analysis that will give you a wrinkle pattern on the pipe. This inturn will add up to the bifurcation scheme that you get.

Journal Club Theme of October 2012: Instabilities of Structures

Submitted by Davide Bigoni on Thu, 10/04/2012 - 14:09

Can an elastic structure buckle under tensile dead load?

Submitted by Davide Bigoni on Tue, 03/15/2011 - 08:19

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We all know Euler buckling of a beam under axial thrust, but can buckling occur in an elastic structure in which all elements are subject to tensile dead loading?

We provide a positive answer to this question, see http://www.youtube.com/user/RoyalSociety#p/u/0/EKngs1vvcJU

Can an elastic structure buckle under tensile dead load?

Submitted by Davide Bigoni on Tue, 03/15/2011 - 08:12

We all know Euler buckling of a beam under axial thrust, but can buckling occur in an elastic structure in which all elements are subject to tensile dead loading?

We provide a positive answer to this question, see http://www.youtube.com/user/RoyalSociety#p/u/0/EKngs1vvcJU

diffuse and localized bifurcation modes of incompressible material

Submitted by WaiChing Sun on Fri, 01/30/2009 - 22:24

bifurcation

shear band

Does anyone know if it is possible for diffuse and localized bifurcation to happen simontanously in a incompressible slab? If so, which one is more likely to occur first?

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