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How is this multiaxial relationship derived in this paper?

Submitted by rctron on

How did one arrive at the red-underlined part in the equation (2) from differentiating equation (1)? Please see the picture:

https://imgur.com/a/FZBUaY6

The paper referred here:

Chen, Y., Zhuang, W., Wang, S., Lin, J., Balint, D., & Shan, D. (2012). Investigation of FE model size definition for surface coating application. Chinese Journal of Mechanical Engineering, 25(5), 860-867.

Intricate evolutions of multiple-period post-buckling patterns in bilayers

Submitted by Fan Xu on

Surface instability of compliant film/substrate bilayers has raised considerable interests due to its broad applications such as wrinkle-driven surface renewal and antifouling, shape-morphing for camouflaging skins, and micro/nano-scale surface patterning control. However, it is still a challenge to precisely predict and continuously trace secondary bifurcation transitions in the nonlinear post-buckling region. Here, we develop lattice models to precisely capture the nonlinear morphology evolution with multiple mode transitions that occur in the film/substrate systems.

postdoc position in experimental mechanics of composites at the University of Texas at Austin

Submitted by tehrani on

Immediate #postdoc position in experimental mechanics of #composites at UT-Austin Mechanical Engineering. The applicant must currently be in the U.S. due to the COVID-19 international travel restrictions. Send your CV to tehrani [at] utexas.edu

EML Webinar by Prof. Robert Shepherd on September 16, 2020: Optoelectronic Sensing of the Deformation of Soft Robots, and their Electrohydraulic Power

Submitted by Teng Li on

 

EML Webinar on 16 September 2020 will be given by Prof.  Rob Shepherd, Cornell University, Discussion leader: Jamie Paik, EPFL

Title: Title: Optoelectronic Sensing of the Deformation of Soft Robots, and their Electrohydraulic Power

Time: 7 am California, 10 am Boston, 3 pm London, 10 pm Beijing on 16 September 2020

Transformation Cloaking in Elastic Plates

Submitted by arash_yavari on

In this paper we formulate the problem of elastodynamic transformation cloaking for Kirchhoff-Love plates and elastic plates with both in-plane and out-of-plane displacements. A cloaking transformation maps the boundary-value problem of an isotropic and homogeneous elastic plate (virtual problem) to that of an anisotropic and inhomogeneous elastic plate with a hole surrounded by a cloak that is to be designed (physical problem). For Kirchhoff-Love plates, the governing equation of the virtual plate is transformed to that of the physical plate up to an unknown scalar field.

Post-doctoral position and fellowship

Submitted by Gregory J. Rodin on

A post-doctoral fellowship at the Oden Institute for Computational Engineering and Sciences at The University of Texas at Austin. Looking for an individual with strong modeling and computational skills to conduct research in the area of machining, cutting, and tribology. The starting date is September 1, 2021. I prefer to make an offer by February 2021. For details contact Greg Rodin at gjr [at] oden.utexas.edu

Postdoc Position in Computational Nanomechanics

Submitted by Harold S. Park on

I am looking to recruit a highly motivated and independent postdoctoral researcher to study, via the development of new computational methodologies, the deformation mechanisms in crystalline nanostructures.  The specific emphasis is on predicting the plasticity at timescales that far exceed those possible in classical atomistic simulations, and verifying the predictions through collaborations with experimentalists.  The position is available as soon as possible for at least a 1.5-year duration, with possible extension to future years depending on the availability of funding. 

Postdoctoral Position at Oregon State University: Rock-Tool Interaction

Submitted by tmattevans on

I have an opening for a new postdoctoral scholar to join my research group, please see attached. The project is on the field-scale calibration of DEM models. Primary responsibilities include developing and executing large-scale experiments, interpretation and synthesis of results, and collaboration with modelers to perform the calibrations.