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Indentation Stress and Displacement Fields

Submitted by Jay Palaniappan on

I am looking for stress and displacement fields for indentation of an elastic half-space with a rigid spherical indenter. Anthony C. Fischer-Cripps provides closed form expressions (no derivations) for stress fields in his textbook "Introduction to Contact Mechanics" (Chapter 5, Page 88-89). He cites the work of M.T. Huber[1] which is in German (Annalen der Physik, 1904). 

Can someone point me to an English language reference for the analytical derivation of displacement and stress fields in the interior of the specimen ?

IOSO vs Genetic Algorithm (comparison on practical optimization problem)

Submitted by IOSOnier on

Dear Colleagues,



Here we would like to offer you the summary from a published work concernign the optimization of industrial object. The work describes the application of parallel IOSO algorithms and parallel genetic algorithm PGA for the solution of optimization of 3D serpentine cooling passage inside a turbine blade.

 

 

 

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.