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Updated solution manual for Metamaterial book

The derivations of some equations and solutions to problems from my metamaterials books are now available for download from ResearchGate at https://www.researchgate.net/publication/320611794_Mechanical_metamaterials_some_derivations_and_examples.

-- Biswajit

Shiva Rudraraju's picture

PhD positions in Computational Mechanics at the University of Wisconsin Madison

Looking for prospective PhD students with strong background in solid mechanics and numerical methods to join the Computational Mechanics and Multiphysics Group at the University of Wisconsin Madison. Background in modeling contact or contact mechanics is a big plus but not essential.  

The research scope is in the broader areas of mechanics driven multiphysics in morphogenesis/embroyogenesis phenomena (Biophysics) and microstructure evolution in metallic alloys.   

Ph.D. Student Positions in Computational Materials Science and Mechanics

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 at least one advanced programming language such as Fortran or C++ is required. Exceptional applicants with BS degree will also be considered. The openings are for spring 2018, summer 2018 and fall 2018. Applicants must meet Purdue University and School of Materials Engineering admission criteria. For inquiry please send email to Professor El-Azab (aelazab@purdue.edu).

Tangent modulus of the Mooney-Rivlin based Neo-hookean - Could you check my derivation??

Choose a channel featured in the header of iMechanica: 

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.

Tangent modulus of the Mooney-Rivlin based Neo-hookean - Could you check my derivation??

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.

Ph.D. Student Positions in Computational Materials and Mechanics

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).

Derivatives of Tensors

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.

rajan_prithivi's picture

Overview of solid mechanics

 

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

marco.paggi's picture

CISM course ''Modelling and Simulation of Tribological Problems in Technology''

Advanced Course at the International Centre for Mechanical Sciences (CISM, Udine, Italy)

 

Modelling and Simulation of Tribological Problems in Technology

May 28, 2018 — June 1, 2018 

Coordinators:

Marco Paggi (IMT School for Advanced Studies Lucca, Lucca, Italy)

David A. Hills (University of Oxford, Oxford, Great Britain)

Assistant, Associate, or Full Professor

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.

FEA simulation of double joints in shear loading

Choose a channel featured in the header of iMechanica: 

Hi all,

 

I have a question about an FEA simulation. Particularly, about the boumndary conditions that need to be applied to run this simulation. 

 

attempt1:

 

I fixed the right end of the plates and applied loading to the left end. This resulted in stresses go through only the top joint region (W1 in figure attached). 

 

From our understanding, the deformation is got to be symmetric on both the plates. But, when we applied these BCs, it is not smmetric. 

 

 

attempt-2:

 

Ph.D. student positions, Computational Materials Group, University of Virginia

Research assistantships are available for students interested in pursuing Ph.D. degree in Materials Science and Engineering. The graduate students will join the Computational Materials Group and work on the development and application of various computational techniques (atomistic, continuum, mesoscopic) to research problems in general areas of laser – materials interactions, acoustic activation of surface processes, and investigation of properties of nanostructured materials.

rajan_prithivi's picture

How are principal planes & eigen vectors of the stress tensor related ? | An intuitive explanation

To obtain the principal planes we construct the stress tensor and find the eigen vectors. Here is an attempt to explain it more intuitively rather than the use of the formal mathematical method. Hope you enjoy this video!
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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 !

Here is the link to the VIDEO

Ph.D. Opportunity at Singapore University of Technology and Design (SUTD) on Functional 3D Printing

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.

rajan_prithivi's picture

What are Principal Stresses (explained without math equations) ?

 

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

rajan_prithivi's picture

Failure of brittle materials using simple experiments- Part 2

Here is my second video, where I tried to explain the concepts of stress state, principal stresses, Mohr circle and failure theories in layman's language and associated these concepts to explain the failure of a brittle material. This is an educational outreach initiative mainly targeted at the undergraduates (mechanical/civil/aerospace and materials engineering) studying mechanics and also other me

jenda_z's picture

Modeling of Localized Inelastic Deformation 2017 (LID 2017)

Dear colleagues,

on behalf of the course organizer, I would like to bring to your attention to the advanced course on Modeling of localized inelastic deformation that will be taught by Milan Jirásek in Prague, Czech Republic on 18-22 September 2017.

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