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cauchy stress, first piola kirchoff stress, second piola kirchof stress

Submitted by bruno-page on

Some basic questions involving cauchy stress, first piola kirchof stress and second piola kirchof stress:

1) We know that Cauchy stress involved deformed areas-therefore this (Cauchy stress) has an obvious physical interpretation

2)Now, first piola kirchof stress is expressed as:

S = JF^-1 . sigma

where, J is the jacobian of the deformation gradient which physically is the measure of the volume change produced by a deformation.

F is the deformation gradient

sigma is Cauchy stress.

Call for Abstracts: Mechanical Behavior of Low Dimensional Materials, MS&T 2010, Houston, TX

Submitted by Jun Lou on

We cordially invite you to submit an abstract to Symposium: Mechanical Behavior of Low Dimensional Materials at Materials Science & Technology 2010 (MS&T'10) to be held on October 17-21, 2010 in Houston, Texas. For submission, please go to http://174.120.122.245/program/technical-program. The deadline for abstract submission is March 15, 2010.



Principle of virtual work and conservation of linear momentum

Submitted by bruno-page on

I've been reading Prof.Bower's text on solid mechanics:

http://solidmechanics.org/text/Chapter2_4/Chapter2_4.htm#Sect2_4_1

 

Can anyone plz help me to understand how principle of virtual work is another form of conservation of linear momentum?

fluid statics, (behaviour of lighter & heavier bodies in water) at constant acceleration

Submitted by petroengr on

If a car filled with water is accelerated at uniform rate, and a heavy object is hanged by a string from the top of the car and a balloon with a string from the bottom of the car. What would be the direction of deflection of balloon & the heavy object. I would appreciate if someone could explain to me the phenomena of deflection, which would be helpful for me to better understand the topic please.

Swell induced surface instability of confined hydrogel layers

Submitted by Rui Huang on

A previous work suggested a critical condition to form surface creases in elastomers and gels. For elastomers, the critical condition seems to have closed a gap between experimental observations (e.g., by bending a rubber block) and the classical instability analysis by Biot. For gels, however, experiments have observed a wide range of critical swelling ratios, from around 2 to 3.7. Here we present a linear perturbation analysis for swollen hydrogels confined on a rigid substrate, which predicts critical swelling ratios in a similar range.

Gordon Research Conference - Thin Film and Small-Scale Mechanical Behavior - Registration is open

Submitted by Oliver Kraft on

PRELIMINARY PROGRAM - Registration is open

Thin Film and Small-Scale Mechanical Behavior

July 25 - 30, 2010 at Colby College, Waterville, Maine

Online Application:

http://www.grc.org/application.aspx?id=9398

Preliminary Program:

Crack-tip field

Submitted by Zhigang Suo on

These notes were initially written when I taught fracture mechanics in spring 2010.  The title of the notes was then "stress intensity factor".  In revising the notes for the class in 2014, I have changed the title of the notes to "crack-tip field".

You can access all notes for the course on fracture mechanics

 

PostDoc position, Karlsruhe (Germany): Mechanics of Granular Materials in Fusion Technology

Submitted by Yixiang Gan on

A research position is now opening in the field of Computational Mechanics of granular materials, in Karlsruhe Institute of Technology (KIT), Germany. This position should start between May and September 2010, and is a full-time fixed-term PostDoc position for 2 years (TVL E13).