education

Hello.

I study solid mechanics at a graduate school.

I tried to derive tangent modulus of the Mooney-Rivlin based Neo-Hookean material.

There might be no error in my derivation, but answer is wrong with referred right answer.

So, could you check my derivation?

I attached my derivation as a figure.

Thanks in advance.

Several Ph.D. student positions are available in Professor El-Azab’s group with the School of Materials Engineering, Purdue University. The group performs advanced theoretical and computational research in the areas of mesoscale plasticity and dislocation dynamics, radiation effects in materials, microstructure evolution, phase field method development, and computational methods for materials science and mechanics. Applicants with MS in mechanical, aerospace, or materials engineering, with background in microstructure science, continuum mechanics and elasticity, numerical methods or computational techniques such as finite element method are highly preferred. Knowledge of an advanced programming languages such as Fortran or C++ is required. Exceptional applicants with BS degree will also be considered. The openings are for fall 2018 semester but those who wish start in the spring or summer 2018 will be accommodated. Applicants must meet Purdue University and School of Materials Engineering admission criteria. For inquiry please send email to Professor El-Azab (aelazab@purdue.edu).

Hi all,

I am looking for a general definition of the derivative of a tenorial product (e.g. when the expression for Stress contains nonlinear terms in deformation gradient, F ).

I start with a very simple example:

∂F_pq/∂F_mn = δ_pm  δ_qn , i.e. Kronecker delta with first index of F_pq and first index of  F_mn, and second Kronecker delta for second pair of indices q & n.

This video (LINK)  attempts to give the big picture of solid mechanics along with the brief explanation of the constituent topics.

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This is an educational outreach initiative targeted at all engineers interested in mechanics and seek simpler explanations. Kindly share if you learn something out of this !

Thanks,

Prithivi

The Department of Materials Science and Engineering at Texas A&M University invites applications for a tenured or tenure-track faculty position in the area of mechanical behavior of advanced structural materials.  Although candidates at the assistant professor level are preferred, exceptionally well qualified candidates will be considered for appointment at the rank of associate or full professor.

Characterization of acoustic cavitation in liquid-solid systems

Fluid mechanics, combustion and acoustics 

Part 4: Migrating particles across patches. http://www.parresianz.com/mpi/c++/parallel-domain-decomposition-part-4/

-- Biswajit

 Part 3: Plimpton scheme: http://www.parresianz.com/mpi/c++/parallel-domain-decomposition-part-3/

-- Biswajit

Part 2: Exchanging ghost particles the direct way.  

http://www.parresianz.com/mpi/c++/parallel-domain-decomposition-part-2/

-- Biswajit

New article on the MPI scatter operation for particle simulations:

http://www.parresianz.com/mpi/c++/parallel-domain-decomposition-part-1/

-- Biswajit

Prof. Ge’s Advanced Manufacturing and Design Laboratory (http://amd.sutd.edu.sg/) is recruiting PhD students. The Ph.D.scholarships are immediately available in the general areas of functional advanced manufacturing. The research topics can vary based on the student’s background from solid mechanics for soft active materials, UV curable functional polymer development for 3D printing, and development of high resolution multifunctional 3D Printing system.

In the following video, I have tried to explain the concept of principal stress in a more physical way and without involving any mathematical equations, hope you can easily imbibe the concept.

Here is the link to the video : Principal stresses

Rehashing and clarifying some old work for a friend: http://www.parresianz.com/mechanics/spin-tensor-and-Green-Naghdi-rate/

-- Biswajit

Below is the video link to my first lecture video, where in I tried to demonstrate the failure of brittle materials using simple experiments.
https://www.youtube.com/watch?v=yG76IhmKyRY&t=1s

Check out my new article on a source of confusion in material and spatial versions of constitutive equations at http://www.parresianz.com/mechanics/incremental-objectivity/

-- Biswajit

Organizers invite to attend the summer school 

Mechanics for the green economy: Modeling and High Performance Computing in  multi-scale and multi-physics processes.

Brescia and Trento, Italy,  19-25 July 2017.

Deadlines:

Fellowship deadline is Sunday, May 7. Registration deadline July 1, 2017.

Lecturers:

Prof. W. Bangerth, Colorado State University, USA